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From its beginnings in the late nineteenth century, electrical engineering has blossomed from focusing on electrical circuits for power, telegraphy and telephony to focusing on a much broader range of disciplines. However, the underlying themes are relevant today: Powercreation and transmission and information
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Explora el electrizante campo de la ingeniería eléctrica con nuestra colección de libros gratis de ingeniería eléctrica en PDF. La ingeniería eléctrica es una rama esencial de la ingeniería que se ocupa del estudio, diseño, desarrollo y mantenimiento de sistemas y equipos eléctricos y electrónicos.
- Circuit Analysis
- Static versus dynamic models
- Course Goals
- Lecture notes
- Lecture Notes 2 Review
- Electrical Quantities
- Common (ground) node
- +2V −1V +7V
- Associated (passive) reference directions
- Review of KVL – contd.
- = −(2V) + (−07V) + (12V) − (−3V) = +123V
- Power Conservation
- Lecture Notes 3 Basic Analysis of Static Circuits
- Two-terminal static element
- (Ideal) voltage source
- (Ideal) current source
- Diode
- v vth
- Linearity
- Basic static circuit analysis techniques
- R2 R1 = R1 R2
- Finding
- ∆ – Y transformation
- Source transformation
- Hand analysis of diode circuits
- Application: diode bridge
- Lecture Notes 4 Multi-terminal static circuit elements
- Dependent sources
- + i i
- Basic op-amp circuits
- BJT model
- BJT model – contd.
- 5V 1kΩ 10kΩ v 0.7V out
- Analysis – contd.
- Analysis using the first order static model
- Lecture Notes 5 Introduction to Circuit Theory
- What is circuit theory?
- KCL – contd.
- KVL – contd.
- Solving the circuit equations
- Writing the node equations by inspection
- Y AGAT,
- Ykk
- Circuits with voltage sources
- 3 R vs
- 3 R R i s 4
- 4 i R4 is
- N 0 s
- Superposition:
- Superposition – contd.
- vin, out ̃
- 40Ω 10Ω
- Proof of Thevenin equivalence
- Application: maximum power transfer
- 1Ω 1Ω 1A
- Small Signal Circuit Analysis
- Linearized model of nonlinear element
- i f v f v
- Linearized model – contd.
- i0 e − 1)
- Example – contd.
- Small signal circuit analysis
- MOS transistor small signal model
- MOS amplifier – contd.
- s v gmvs R
- Summary and comments
- Lecture Notes 8 Basic dynamic element models
- Time varying sources
- Square wave source:
- Step function source:
- Capacitor
- Lecture Notes 9 Sinusoidal Steady-State Circuit Analysis
- Sinusoidal steady state circuit analysis
- Phasor representation of sinusoids
- Re( ) = | cos( + ) ↔
- Vc =
- Branch relations via phasors
- V I
- Impedance
- V = ( + )I
- Real and reactive components
- I1 + · · · + I = 0
- p e
- V = E − E
- SSS circuit analysis via phasors
- v t
- I V
- General SSS circuit equations
- 3H . μ 0 01 F capacitor
- Consequences
- S I V
- E + E ̃
- Node voltage method
- Small signal SSS circuit
- Lecture Notes 10 Power and Energy in SSS Circuits
- Average power and impedance
- p / Z / 2 Z / avg = Re(IV) 2 = Re(II ) 2 = |I| Re( ) 2
- p 2 Y / avg = |V| Re( ) 2
- Conservation of average power
a circuit model is an interconnection of device models or circuit elements using ideal wires and ideal connections (or nodes), i.e., ideal short circuits ideal wires device models ideal nodes the purpose of circuit analysis is to determine the currents and voltages in the circuit analysis done using only: device models, which specify relations betw...
static models assume that voltages and currents are constant, or change slowly, with time terminal voltages and currents are real constants (v, i, . . . ) device models are typically • relating v, i algebraic equations Example: simple resistor, with v iR dynamic models account for time-varying terminal voltages and currents terminal voltages and cu...
understand basic circuit analysis techniques how to use them where they apply where they come from develop ability to analyze simple circuits ‘by hand’ using these techniques understand basic circuit theory and why it is useful learn a few things about ‘real world’ circuits through examples and homework problems
help organize and reduce note taking in lectures you will need to take some notes, e.g., clarifications, solutions to most examples, and extra examples slide title indicates a topic that often continues over several consecutive slides (indicated by ... contd. in the slide titles) one column format should give you enough room for taking notes lectur...
Review of electrical quantities: charge, current, energy, voltage, power Associated reference directions, power flow Review of KCL, KVL Power conservation
the most fundamental physical quantities in circuits are charge measured in Coulombs (Coul) and energy measured in Joules (J) in the analysis of circuits we typically deal with current in Amperes ( ), voltage in Volts ( ) and power in
often we have a common reference for voltages in a circuit, called the common node, or ground node:
ground in this case we just show the voltage difference to ground, or node potentials:
common and useful convention for a two-terminal device or circuit branch: current reference direction points into voltage reference terminal: v in this case we say the current and voltage reference directions are associated or passive with associated reference directions, p vi is the = electrical power flowing into device (from the rest of the circ...
a second form of KVL is in terms of voltage drops if A, B, and C are three nodes in a circuit AB is the voltage drop from node A to node B BC is the voltage drop from node B to node C AC is the voltage drop from node A to node C then v AC v AB v BC vAB AC B BC C a third form of KVL says that the voltage across a device is the difference of its term...
these three forms of KVL sum of voltages around loop is zero vAC vAB vBC = + node potentials: vAB eA eB = − are equivalent – from each one we can derive the other two
a consequence of KCL and KVL (as we shall mathematically prove later) is that: in any circuit, the total power dissipated (or absorbed) equals the total power supplied (or generated)
two-terminal static circuit elements linear and nonlinear resistors voltage and current sources diodes: ideal, exponential linearity and passivity basic (hand) analysis techniques • resistors in series and parallel – source transformation diode circuit analysis
v v the element is specified via a relationship between v and i expressed as a graph, table, or function i f v ( ) with respect to some v and i reference directions model must also specify the range of v or i (and other variables, e.g., temprature) where it is applicable
model: vs (which is the source voltage) s s voltage source maintains vs across its terminals (supplying whatever current is necessary to do this!) the current and voltage references shown are the associated directions, which is not the convention for votage source when vs = 0, voltage source is a short circuit or (ideal) wire: no voltage drop acros...
model: i (which is source current) v i s v current source maintains a current of i s (using whatever voltage is necessary) when i s = 0, current source is an open circuit: no • current flows through it, and it can support an arbitrary potential difference current source can either supply or dissipate power current sources are used in models of acti...
basic idea: diode restricts current flow to one direction simplest model is the ideal diode model: v
should not confuse vth, which is the voltage when the • diode is “on” in the ideal model, with v T model comes from device physics • exponential model fails to capture some important • properties of real diodes (e.g., avalanche breakdown) the diode always dissipates power, since p vi • = ≥ 0
two-terminal device model is linear if v is a linear function of i, i.e., i αv for some constant α (including and v = 0 = 0) an equivalent definition is that the device v–i relation satisfy: superposition: whenever (v,i) and ( v, ̃ i) are possible ̃ terminal voltage/current pairs, (v v,i ̃ + ̃ + i) is also a possible terminal voltage/current pa...
many practical circuits (with simple element models) can be analyzed by clever use of: KVL and KCL branch relations (e.g., Ohm’s law) tricks such as series/parallel resistor equivalent, voltage/current dividers, - Y transformation, source transformation, etc. while these tricks are good for small circuits, they are not good for hand analysis of lar...
+ + voltage across resistors in series divides as element resistance / total resistance
Req – contd. for some resistor circuits series/parallel reductions may not be possible
another useful trick or connection of resistors: ∆ Π c R a c b a b
series combination of voltage source v s and resistor R is equivalent to parallel combination of current source vs/R and resistor R vs i vs/R v both circuits have the v – i relation: v s iR: R vs R Source transformation – contd. two pathologies: when the circuit is a voltage source, there is no current source circuit equivalent when the circuit is ...
for hand analysis we typically assume the ideal diode model we assume that the diode is on (or off) and replace it by voltage source vth (or by an open circuit) we analyze the circuit to see if our assumption is correct if we get an inconsistency, we know that the diode must be in the opposite state – we set the diode to the opposite state and rean...
also called full wave rectifier – used in AC to DC converters vin
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
consider general circuit with capacitors, inductors, linear static elements , and sinusoidal sources in SSS we know that instantaneous power is conserved (since KCL and KVL always hold) let V, , be branch voltage, branch current, and node I E voltage vectors respectively (in phasor representation) avg pwr dissipated in branch k is pavg k k k /
28 de feb. de 2023 · English. The course focuses on the creation, manipulation, transmission, and reception of information by electronic means. Elementary signal theory; time- and frequency-domain analysis; Sampling Theorem. Digital information theory; digital transmission of analog signals; error-correcting codes. Addeddate.
Electrical Potential Potential or voltage or electromotive force (emf) A measure of electrical energy The energy required to move one unit of electrical charge from one point to another Units of potential: volts (𝑉𝑉) Units of electrical charge: coulombs (𝐶𝐶) Units of energy: joules (𝐽𝐽) 1𝑉𝑉= 1 𝐽𝐽 𝐶𝐶
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8 de feb. de 2017 · ISBN 13: 9781300160137. Publisher: OpenStax CNX. Language: English. Formats Available. Hardcopy. PDF. Conditions of Use. Attribution. CC BY. Reviews. Learn more about reviews. Table of Contents. 1. Introduction. 2. Signals and Systems. 3. Analog Signal Processing. 4. Frequency Domain. 5. Digital Signal Processing. 6. Information Communication. 7.
Department of Electronic Engineering Shanghai Jiao Tong University Shanghai People’s Republic of China Maode Ma Electrical and Electronic Engineering Nanyang Technological University Singapore Singapore ISSN 1876-1100 ISSN 1876-1119 (electronic) ISBN 978-3-642-35469-4 ISBN 978-3-642-35470-0 (eBook) DOI 10.1007/978-3-642-35470-0
