4. The circuit is at steady state before the switch transitions from closed to open at time t = 0. The output of this circuit is v(1), the voltage across the capacitor. Determine v(t) for t> 0. 6 V 30 ΚΩ www 60 ΚΩ 5 μF + v(t) t = 0 す。 60 ΚΩ 36 V

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**Circuit Analysis Problem**

In this example, analyze the electrical circuit in its initial stable condition and track its behavior as a switch transitions from closed to open at time \( t = 0 \).

**Circuit Details:**

- Voltage sources: 6 V and 36 V
- Resistors: 60 kΩ (two in parallel), another resistor at 30 kΩ
- Capacitor: 5 μF
- The switch is initially closed and opens at \( t = 0 \).

**Objective:**

Determine the voltage \( v(t) \) across the capacitor for \( t > 0 \).

This exercise involves understanding the transient response of the circuit when it switches state, aiming to find how the voltage across the capacitor changes over time after the switch opens.
Transcribed Image Text:**Circuit Analysis Problem** In this example, analyze the electrical circuit in its initial stable condition and track its behavior as a switch transitions from closed to open at time \( t = 0 \). **Circuit Details:** - Voltage sources: 6 V and 36 V - Resistors: 60 kΩ (two in parallel), another resistor at 30 kΩ - Capacitor: 5 μF - The switch is initially closed and opens at \( t = 0 \). **Objective:** Determine the voltage \( v(t) \) across the capacitor for \( t > 0 \). This exercise involves understanding the transient response of the circuit when it switches state, aiming to find how the voltage across the capacitor changes over time after the switch opens.
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