*5.39 The switch in the circuit of Fig. P5.39 had been in position 1 for a long time until it was moved to position 2 at t = 0. Determine v(t) for t > 0, given that Io = 6 mA, Vo = 18 V, Rị = R2 = 4 k2, and C = 200 µF. 1 C 29 Vo R2 Figure P5.39: Circuit for Problems 5.39 and 5.40. (+ 1)

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The image presents Problem 5.39 from an educational source. The problem description is as follows:

"The switch in the circuit of Fig. P5.39 had been in position 1 for a long time until it was moved to position 2 at \( t = 0 \). Determine \( v(t) \) for \( t \geq 0 \), given that \( I_0 = 6 \text{ mA} \), \( V_0 = 18 \text{ V} \), \( R_1 = R_2 = 4 \text{ k}\Omega \), and \( C = 200 \mu\text{F} \)."

The diagram below this description shows an electrical circuit with the following components:

- A current source labeled \( I_0 \) on the left, providing a current of 6 mA.
- A switch that can toggle between two positions: 1 and 2.
- Resistor \( R_1 \) (4 kΩ) is connected in series with the switch.
- Capacitor \( C \) (200 μF) is positioned in parallel to resistor \( R_2 \) (4 kΩ).
- Voltage \( V_0 \) at the right end of the circuit is marked as 18 V across the parallel network.

The circuit is titled "Figure P5.39: Circuit for Problems 5.39 and 5.40."

The task is to determine the voltage \( v(t) \) across the capacitor for \( t \geq 0 \), after the switch changes from position 1 to position 2 at time \( t = 0 \).
Transcribed Image Text:The image presents Problem 5.39 from an educational source. The problem description is as follows: "The switch in the circuit of Fig. P5.39 had been in position 1 for a long time until it was moved to position 2 at \( t = 0 \). Determine \( v(t) \) for \( t \geq 0 \), given that \( I_0 = 6 \text{ mA} \), \( V_0 = 18 \text{ V} \), \( R_1 = R_2 = 4 \text{ k}\Omega \), and \( C = 200 \mu\text{F} \)." The diagram below this description shows an electrical circuit with the following components: - A current source labeled \( I_0 \) on the left, providing a current of 6 mA. - A switch that can toggle between two positions: 1 and 2. - Resistor \( R_1 \) (4 kΩ) is connected in series with the switch. - Capacitor \( C \) (200 μF) is positioned in parallel to resistor \( R_2 \) (4 kΩ). - Voltage \( V_0 \) at the right end of the circuit is marked as 18 V across the parallel network. The circuit is titled "Figure P5.39: Circuit for Problems 5.39 and 5.40." The task is to determine the voltage \( v(t) \) across the capacitor for \( t \geq 0 \), after the switch changes from position 1 to position 2 at time \( t = 0 \).
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