dVc(0)

```ECE 2006
UMD
Spring, 2004
Name:____________________
Final Exam: 125 Points (Show work for partial credit)
1. (35 Pts) For the following RLC circuits, calculate the requested quantities:
Quantity
Value
Quantity
Value
Alpha,
Omega,
S1, S2
Vc(0)
Vc( )
dVc(0)/dt
IL(0)
IL ( )
dIL(0)/dt
Alpha,
Omega,
S1, S2
Vc(0)
Vc( )
dVc(0)/dt
IL(0)
IL ( )
dIL(0)/dt
FIND Vc(t) =
Scott Norr
Page 1
12/13/2004
ECE 2006
UMD
Spring, 2004
2. (30 Pts) Consider the AC voltage waveform shown below:
Assuming that Omega, the angular frequency of the waveform is 100 radians per
second (ω = 100) and that a current phasor corresponding to the voltage
waveform is I = 5 ∠30° Amps, RMS, find the following:
a) i(t), the sinusoidal current
b) V, the voltage phasor in RMS
c) p(t), the instantaneous power
d) Plot i(t) on the graph of the sinusoidal voltage
e) Plot the voltage and current phasors on the axes provided
Scott Norr
Page 2
12/13/2004
ECE 2006
UMD
Spring, 2004
3. (30 Pts) Analyze the steady state AC circuit below and find the following:
a)
b)
c)
d)
The reactance X, of the capacitor and each inductor
Zeq, the equivalent impedance as seen by the AC voltage source
Is, the phasor of the AC current drawn from the source
VL, the phasor of the AC voltage across the load resistor
Scott Norr
Page 3
12/13/2004
ECE 2006
UMD
Spring, 2004
4. (30 Pts) For the circuit shown below, find the following:
a) The phasor form of the current in each branch
b) The average power, P, dissipated by each element
c) The reactive power, Q, dissipated by each element
c) The average power delivered to the circuit by the source
d) The reactive power, Q, delivered by the source
e) The complex power, S, delivered by the source
Scott Norr
Page 4
12/13/2004
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