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Real Analog - Circuits 1
Chapter 11: Homework
Chapter 11 Homework:
11.1 For the circuit below, the input voltage Vin(t) = 3cos(2t-20) – 2cos(3t+30) + cos(4t). Determine:
a. The steady-state response of the voltage v(t).
b. The steady-state response of the current iR(t). (Hint: take advantage of your results from part a)
1Ω
iR(t)
+
+
-
Vin(t)
v(t)
1
F
2
2Ω
-
11.2 For the circuit of problem 1, sketch the magnitude and phase response of the voltage v(t). Label
your sketch at ω = 0, ω →∞ and the circuit’s cutoff frequency. Does the circuit behave as a lowpass or high-pass filter? Why?
11.3 For the circuit below, the input is the voltage Vin(t). If the output is the current i(t), sketch a
straight-line approximation to the Bode plot for the circuit. Label your sketch to include the DC
gain and the cutoff frequency of the circuit.
i(t)
2Ω
1H
+
Vin(t)
+
-
1Ω
v(t)
-
© 2012 Digilent, Inc.
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Real Analog – Circuits 1
Chapter 11: Homework
11.4 For the circuit below, the input is the voltage u(t) and the output is the current y(t). Sketch a
straight-line approximation to the Bode plot. Label your sketch to include the DC gain and the
cutoff frequency of the circuit.
y(t)
u(t)
2Ω
+
-
1H
11.5 For the circuit of problem 11.4, sketch a straight-line approximation to the Bode plot for the circuit
if the output is the voltage v(t). Label your sketch to include the DC gain and the cutoff frequency
of the circuit.
11.6 For the circuit shown, the input is the voltage source u(t) and the output is the current through the
inductor, y(t).
a. Determine the frequency response of the circuit.
b. Sketch the magnitude response of the circuit. Label your sketch to show the DC gain and the
cutoff frequency of the circuit.
c. Does the circuit behave as a high pass or low pass filter? Explain.
y(t)
4H
u(t)
+
-
2W
© 2012 Digilent, Inc.
4W
2
Real Analog – Circuits 1
Chapter 11: Homework
11.7 For the circuit of problem 1, the input is the voltage source u(t). If the output is the voltage across
the inductor,
a. Determine the frequency response of the circuit.
b. Sketch the magnitude response of the circuit. Label your sketch to show the DC gain and the
cutoff frequency of the circuit.
c. Does the circuit behave as a high pass or low pass filter? Explain.
11.8 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 frequency response of the circuit.
b. Sketch the magnitude response and phase response of the circuit. Label your sketch to show
the DC gain and the cutoff frequency of the circuit.
c. Does the circuit behave as a high pass or low pass filter? Explain.
y(t)
2H
2W
u(t)
2W
11.9 For the circuit shown, the input is the current source u(t) and the output is the voltage across the
6W resistor, y(t).
a. Determine the frequency response of the circuit.
b. Does the frequency response you calculated above agree with your expectations as to the
circuit’s response at high () and low (0) frequencies? Why or why not?
2W
+
u(t)
6W
y(t)
1
F
4
-
© 2012 Digilent, Inc.
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