Find the output voltage v, when the source v, = 6u(1) V and v, (0) =1 V. Recall that u(t) represents the unit step function.

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E ce problem! Output voltage
**Problem 5:**

Find the output voltage \( v_0 \) when the source \( v_s = 6u(t) \) V and \( v_0(0) = 1 \) V. Recall that \( u(t) \) represents the unit step function.

**Circuit Description:**

The circuit diagram consists of:

1. A voltage source \( v_s = 6u(t) \).
2. A 20 kΩ resistor in series with the voltage source.
3. A 10 kΩ resistor and a 3 µF capacitor in parallel, which are connected to the previous series combination.
4. A 40 Ω resistor is placed parallel to the voltage source and in series with the parallel combination of the 10 kΩ resistor and 3 µF capacitor.

The task is to calculate the output voltage \( v_0 \) across the combination of the 10 kΩ resistor and the 3 µF capacitor considering the given initial condition and source function.
Transcribed Image Text:**Problem 5:** Find the output voltage \( v_0 \) when the source \( v_s = 6u(t) \) V and \( v_0(0) = 1 \) V. Recall that \( u(t) \) represents the unit step function. **Circuit Description:** The circuit diagram consists of: 1. A voltage source \( v_s = 6u(t) \). 2. A 20 kΩ resistor in series with the voltage source. 3. A 10 kΩ resistor and a 3 µF capacitor in parallel, which are connected to the previous series combination. 4. A 40 Ω resistor is placed parallel to the voltage source and in series with the parallel combination of the 10 kΩ resistor and 3 µF capacitor. The task is to calculate the output voltage \( v_0 \) across the combination of the 10 kΩ resistor and the 3 µF capacitor considering the given initial condition and source function.
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