Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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**Question 7**

Consider four different circuits. For each circuit, an input voltage shown below results in the output voltage shown next to it. Which of the following statements is **NOT CORRECT**?

1) \( V_{\text{in}}(t) = t, \quad V_{\text{out}}(t) = t^2 \)

2) \( V_{\text{in}}(t) = \sin(3t), \quad V_{\text{out}}(t) = 5 \cos \left( 3t + \frac{\pi}{4} \right) \)

3) \( V_{\text{in}}(t) = f(t), \quad V_{\text{out}}(t) = f(t) + 5 \)

4) \( V_{\text{in}}(t) = e^{-3t}, \quad V_{\text{out}}(t) = 20e^{-3t} \)

- a. Circuits 1) and 2) could be linear
- b. Circuits 2) and 4) could be linear
- c. Circuits 1), 2) and 4) could be linear
- d. Circuits 1) and 3) could be linear
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Transcribed Image Text:**Question 7** Consider four different circuits. For each circuit, an input voltage shown below results in the output voltage shown next to it. Which of the following statements is **NOT CORRECT**? 1) \( V_{\text{in}}(t) = t, \quad V_{\text{out}}(t) = t^2 \) 2) \( V_{\text{in}}(t) = \sin(3t), \quad V_{\text{out}}(t) = 5 \cos \left( 3t + \frac{\pi}{4} \right) \) 3) \( V_{\text{in}}(t) = f(t), \quad V_{\text{out}}(t) = f(t) + 5 \) 4) \( V_{\text{in}}(t) = e^{-3t}, \quad V_{\text{out}}(t) = 20e^{-3t} \) - a. Circuits 1) and 2) could be linear - b. Circuits 2) and 4) could be linear - c. Circuits 1), 2) and 4) could be linear - d. Circuits 1) and 3) could be linear
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Step 1: we need to determine linear systems

Electrical Engineering homework question answer, step 1, image 1

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