ECE 2006 UMD Spring, 2004
Name:____________________
1.
(35 Pts) For the following RLC circuits, calculate the requested quantities:
Quantity Value
Alpha,
Omega,
S1, S2
Vc(0)
Vc( ) dVc(0)/dt
I
L
(0)
( ) dI
I
L
L
(0)/dt
Quantity
Alpha,
Omega,
S1, S2
Vc(0)
Vc( ) dVc(0)/dt dI
I
L
I
L
L
(0)
( )
(0)/dt
Value
Scott Norr Page 1 12/13/2004

ECE 2006 UMD
2.
(30 Pts) Consider the AC voltage waveform shown below:
Spring, 2004
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
3.
(30 Pts) Analyze the steady state AC circuit below and find the following:
Spring, 2004 a) The reactance X, of the capacitor and each inductor b) Zeq, the equivalent impedance as seen by the AC voltage source c) Is, the phasor of the AC current drawn from the source d) V
L
, the phasor of the AC voltage across the load resistor
Scott Norr Page 3 12/13/2004

ECE 2006 UMD
4.
( 30 Pts) For the circuit shown below, find the following:
Spring, 2004 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