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ECE 2202 – CIRCUIT ANALYSIS II
HOMEWORK
- For the circuit shown below, switches SW1 and SW2 have been in position a for a long time.
At t = 0, both switches are moved instantaneously and simultaneously to position b and remain
there.
a) Find the power delivered by the vS2 voltage source, as a function of time, for t > 0.
b) Calculate the numerical value of the total energy stored in the capacitors at t = ∞.
R
2
= 5 [kΩ]
v S 2
200 [V]
v S 1
100 [V]
R
1
= 10 [kΩ]
t = 0
a b
C
1
3 [μF] R 3
= 40 [kΩ]
t = 0
a
C
2
= 2 [μF]
SW 1 SW 2
b
- For the circuit shown below, Switch A had been closed for a long time, and Switch B had
been open for a long time, before t = 0. At t = 0, Switch A opened. Then, 100[ms] later, Switch
B closed. Find iX (200[ms]).
3 [mA]^
22 [μF]
10 [kΩ]
t = 100 [ms]
Switch B
3. 3 [kΩ]
t = 0
Switch A
2. 7 [kΩ]
6 [V]
i
X
(t)
- In the circuit shown below, all switches have been closed for a long time. Then, at t = 0, all
switches open, and remain open.
a) Calculate the total energy stored in the capacitors at t = ∞.
b) Calculate the energy stored in capacitor C 1 at t = ∞.
R
1
= 40 [kΩ] R
2
= 10 [kΩ]
R
3
= 10 [kΩ] R
4
= 40 [kΩ]
v
S
100 [V]
t = 0
t = 0
t = 0
C
2
C = 30 [μF]
1
= 20 [μF]
- In the circuit shown below, the switch had been in position a for a long time. At t = 0, the
switch was moved instantaneously to position b , and stayed there for 0.1[s]. Then, at t = 0.1[s],
the switch was moved instantaneously back to position a , and remained there.
For the time periods 0 < t < 0.1[s] and t > 0.1[s], find the numerical expressions for the voltage
vR(t) , as defined in the circuit.
R
2
= 20 [Ω]
v
S 2
200 [V]
v
S 1
100 [V]
R
1
= 10 [Ω]
L
2
3 [H]
L
1
2 [H]
+ v
R
(t)
t = 0
t = 0. 1 [s]
a b
