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Real Analog - Circuits 1
Chapter 7: Homework
Chapter 7 Homework:
7.1
For the circuit below, determine
a. vC(t), t>0
b. vC(t), t>0 if the capacitance is 1F
c. vC(t), t>0 if the capacitance is 0.25F
t=0
3W
2W
1V
+
0.5F
7.2
6W
+
vC(t)
-
Find v(t), t>0, in the circuit below.
t=0
+
1mF
5V
+
-
v(t)
-
2kW
10kW
7.3
For the circuit shown, the switch moves from position A to position B at time t = 0. Find v(t), t>0.
5W
A
B
t=0
2V
+
-
+
v(t)
3W
3A
2F
-
© 2012 Digilent, Inc.
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Real Analog – Circuits 1
Chapter 7: Homework
7.4
For the circuit shown, the input is the current source u(t)=2u0(t)A and the output is the voltage
across the 6W resistor, y(t). Find y(t), t>0.
2W
+
6W
u(t)
1
F
4
y(t)
-
7.5
For the circuit shown, the input is the current source u(t) and the output is the current through the
inductor, y(t).
a. Determine the differential equation relating u(t) and y(t).
b. If u(t) = 3u0(t), determine y(t), t>0.
c. Does your answer to part (b) agree with your expectations as to the circuit’s physical behavior
as t? Why or why not?
y(t)
2H
2W
u(t)
2W
7.6
For the circuit shown, the switch closes at time t = 0.
a. Write the differential equation governing i(t), t>0.
b. Determine initial (t = 0) and final (t) conditions on the current i(t). You may assume that
no energy is stored in the inductor before t=0.
c. Find i(t), t>0.
t=0
6W
i(t)
5A
7.7
4W
2H
For the circuit below, determine the differential equation relating Vout(t) and Vin(t).
© 2012 Digilent, Inc.
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Real Analog – Circuits 1
Chapter 7: Homework
12W
6W
+
+
+
1
F
12
Vin(t)
10W
10W
-
7.8
Vout(t)
-
Determine the differential equations relating Vout and Vin for the circuit below.
100W
100W
+
+
Vin
Vout
2F
-
7.9
+
10W
-
Determine the differential equations relating Vout and Vin for the circuit below.
0.5F
100W
+
Vin
-
+
5V
-
+
30W
+
Vout
20W
-
7.10 Determine the differential equations relating Vout and Vin for the circuit below.
© 2012 Digilent, Inc.
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Real Analog – Circuits 1
Chapter 7: Homework
0.5H
10W
5W
+
+
+
Vin
Vout
-
-
7.11 Determine the differential equation relating VIN(t) and VOUT(t) for the circuit below.
10W
0.5F
2W
-
+
VIN
+
V0UT
+
-
-
7.12 Find VOUT(t), t>0, in the circuit below.
20W
20W
10W
+
t=0
VIN
+
-
+
V0UT
0.1F
-
7.13 For the circuit below, determine
a. the differential equation governing VOUT(t), t>0
b. VOUT(t), t>0.
© 2012 Digilent, Inc.
4
Real Analog – Circuits 1
Chapter 7: Homework
c. Does your solution for part (b) agree with your expectations, based on the circuit’s behavior as
t?
2F
20W
20W
t=0
VIN
+
-
+
+
V0UT
-
© 2012 Digilent, Inc.
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