Q2 For t < 0s, the switch has been opening and closing (and the capacitor may not have reached steady state). The switch closes at time t = 0 s. You are given the capacitor voltage at time t = 4 s: vc (4) = X (a) Find vc (0¹s). (b) The switch opens again at time t = 4 s. Find vc (6 s). Is R₁ (You can leave your answer written as a function of e) R₂ C + VC R1: R2: X: Is: C: 1Ω 402 3 V 1 A 2 F

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
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Publisher:Robert L. Boylestad
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**Question 2:**

For \( t < 0 \) s, the switch has been opening and closing (and the capacitor may not have reached steady state). 

*The switch closes at time \( t = 0 \) s.*

You are given the capacitor voltage at time \( t = 4^- \) s: 
\[ v_C(4^-) = X \]

**(a)** Find \( v_C(0^+) \). (You can leave your answer written as a function of \( e \).)

**(b)** The switch opens again at time \( t = 4 \) s. Find \( v_C(6 \) s).

**Circuit Diagram Explanation:**

- The circuit contains a current source \( I_s \) connected in series with a resistor \( R_1 \), a switch, another resistor \( R_2 \), and a capacitor \( C \).
- The capacitor voltage \( v_C \) is measured across the capacitor.

**Parameters:**

- \( R1: 1 \, \Omega \)
- \( R2: 4 \, \Omega \)
- \( X: 3 \, \text{V} \)
- \( I_s: 1 \, \text{A} \)
- \( C: 2 \, \text{F} \)
Transcribed Image Text:**Question 2:** For \( t < 0 \) s, the switch has been opening and closing (and the capacitor may not have reached steady state). *The switch closes at time \( t = 0 \) s.* You are given the capacitor voltage at time \( t = 4^- \) s: \[ v_C(4^-) = X \] **(a)** Find \( v_C(0^+) \). (You can leave your answer written as a function of \( e \).) **(b)** The switch opens again at time \( t = 4 \) s. Find \( v_C(6 \) s). **Circuit Diagram Explanation:** - The circuit contains a current source \( I_s \) connected in series with a resistor \( R_1 \), a switch, another resistor \( R_2 \), and a capacitor \( C \). - The capacitor voltage \( v_C \) is measured across the capacitor. **Parameters:** - \( R1: 1 \, \Omega \) - \( R2: 4 \, \Omega \) - \( X: 3 \, \text{V} \) - \( I_s: 1 \, \text{A} \) - \( C: 2 \, \text{F} \)
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