Download Chapter 10 Homework - Digilent Learn site

Real Analog - Circuits 1
Chapter 10: Homework
Chapter 10 Homework:
10.1 A circuit is described by the differential equation:
2
𝑑𝑖(𝑡)
+ 10𝑖(𝑡) = 10𝑣(𝑡)
𝑑𝑡
If v(t) = 3cos(5t), determine the steady-state response of i(t).
10.2 The differential equation governing a circuit is:
3
di( t )
 6i( t )  v s ( t )
dt
Where vs(t) is the input and i(t) is the output. Determine the steady-state response of the circuit to
an input vs ( t )  5 cos( 4t  30 ) .
10.3 For the circuit below,
a. The equivalent impedance seen by the source.
b. iC(t), t.
4Ω
iC(t)
4cos(3t+30)
1
H
3
+
-
1
F
6
10.4 For the circuit below, find v(t), t.
1
H
2
10cos(4t)
+
-
4Ω
+
v(t)
1
H
2
4Ω
-
1
F
8
10.5 For the circuit shown, find
a. The equivalent impedance seen by the source.
b. The steady-state response of the voltage across the resistor, vR(t).
© 2012 Digilent, Inc.
1
Real Analog – Circuits 1
Chapter 10: Homework
0.1H
+
1
F
30
20cos(10t)
2Ω
vR(t)
-
10.6 For the circuit shown, find
a. The equivalent impedance seen by the source.
b. The steady-state current delivered by the source.
1
F
9
3Ω
2cos(3t)
+
-
1
H
3
1H
10.7 For the circuit shown, determine
a. The equivalent impedance seen by the source.
b. The steady-state current out of the source, is(t).
is(t)
3cos(2t)V
6Ω
+
-
3Ω
1H
1
F
6
10.8 For the circuit shown, find
a. The equivalent impedance seen by the source.
b. iS(t), t.
© 2012 Digilent, Inc.
2
Real Analog – Circuits 1
Chapter 10: Homework
2Ω
is(t)
4Ω
+
-
5cos(4t+30)
1H
1
F
16
10.9 For the circuit shown, find
a. The equivalent impedance seen by the source.
b. vR(t).
4Ω
+ vR(t)
2cos(4t+25)
+
-
-
1
F
8
0.5H
2Ω
10.10 For the circuit shown, find is(t), t>0.
1H
is(t)
5cos(2t-30)V
+
-
2Ω
0.5F
2Ω
10.11 For the circuit shown, find
a. The equivalent impedance seen by the source.
b. The steady-state response of the voltage across the resistor, vR(t).
© 2012 Digilent, Inc.
3
Real Analog – Circuits 1
Chapter 10: Homework
0.1H
20cos(10t)
1
F
30
+
2Ω
vR(t)
-
© 2012 Digilent, Inc.
4