5.42 Repeat Problem 5.41, but start with the switch being closed prior to t = 0 and then opened at t = = 0.

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please do 5.42 as i already know 5.41

**Problem 5.41**

Determine \( i(t) \) for \( t \geq 0 \) where \( i \) is the current passing through \( R_3 \) in the circuit of Fig. P5.41. The element values are \( v_s = 16 \, V \), \( R_1 = R_2 = 2 \, k\Omega \), \( R_3 = 4 \, k\Omega \), and \( C = 25 \, \mu F \). Assume that the switch had been open for a long time prior to \( t = 0 \).

**Figure P5.41: Circuit Description**

The circuit contains:
- A voltage source \( v_s = 16 \, V \).
- Three resistors: \( R_1 \), \( R_2 \), and \( R_3 \).
- A capacitor \( C \).
- A switch that is open before \( t = 0 \) and closes at \( t = 0 \).
- An arrow indicating current \( i \) passing through \( R_3 \).

**Problem 5.42**

Repeat Problem 5.41, but start with the switch being closed prior to \( t = 0 \) and then opened at \( t = 0 \).
Transcribed Image Text:**Problem 5.41** Determine \( i(t) \) for \( t \geq 0 \) where \( i \) is the current passing through \( R_3 \) in the circuit of Fig. P5.41. The element values are \( v_s = 16 \, V \), \( R_1 = R_2 = 2 \, k\Omega \), \( R_3 = 4 \, k\Omega \), and \( C = 25 \, \mu F \). Assume that the switch had been open for a long time prior to \( t = 0 \). **Figure P5.41: Circuit Description** The circuit contains: - A voltage source \( v_s = 16 \, V \). - Three resistors: \( R_1 \), \( R_2 \), and \( R_3 \). - A capacitor \( C \). - A switch that is open before \( t = 0 \) and closes at \( t = 0 \). - An arrow indicating current \( i \) passing through \( R_3 \). **Problem 5.42** Repeat Problem 5.41, but start with the switch being closed prior to \( t = 0 \) and then opened at \( t = 0 \).
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