**Circuit Analysis Exercise**For the following circuit, assume it has been in this state for a very long time. At \( t = 0 \), the switch moves from position A to position B. Find the equation for the capacitor voltage for all time, \( v_C(t) \), and evaluate it at \( t = 2 \) seconds. Along the way, find \( v_C(0^-) \), the capacitor voltage just before the switch occurs, \( v_C(\infty) \), long after the switch has moved to position B, and the time constant \( \tau \) that the capacitor sees after the switch has happened. Put all your answers in the provided boxes rounded to the nearest tenth. Be sure to include units. Show all your work to receive partial or full credit.**Diagram Explanation**- **Components and Values**: - Voltage source: \( 24V \) - Resistors: \( 3\Omega \), \( 9\Omega \), \( 2\Omega \), \( 4\Omega \) - Capacitor: \( 3F \) - Current Source: \( 3A \)- **Switching Scenario**: - The switch changes from position A to B at \( t = 0 \). - Position A connects the \( 3\Omega \) resistor to the capacitor. - Position B connects the \( 2\Omega \) and \( 4\Omega \) resistors in series to the existing circuit.**Calculations Need**:- Initial voltage across the capacitor \( v_C(0^-) \).- Final voltage across the capacitor \( v_C(\infty) \).- Time constant \( \tau \) for the RC circuit when the switch is at position B.- The expression for \( v_C(t) \) and its value at \( t = 2 \) seconds.**Answer Boxes**:- \( v_C(0^-) = \) - \( v_C(\infty) = \)- \( \tau = \)- \( v_C(2) = \)

Answered: Image /qna-images/answer/57989656-28be-4cd9-b420-718064884e53.jpg

For the following circuit, assume it has been in this state for a very long time. At t = 0, the switch moves from position A to position B. Find the equation for the capacitor voltage for all time, vc(t) and evaluate it at t = 2sec. Along the way, find vc(0-), the capacitor voltage just before the switch occurs, vc(0), long after the switch has moved to position B, and the time constant T that the capacitor sees after the switch has happened. Put all your answers in the provided boxes rounded to the nearest tenth. Be sure to include units. Show all your work to receive partial or full credit. t = 0 32 B A velt) (1)3A 24V 3F

For the following circuit, assume it has been in this state for a very long time. At t = 0, the switch moves from position A to position B. Find the equation for the capacitor voltage for all time, vc(t) and evaluate it at t = 2sec. Along the way, find vc(0-), the capacitor voltage just before the switch occurs, vc(0), long after the switch has moved to position B, and the time constant T that the capacitor sees after the switch has happened. Put all your answers in the provided boxes rounded to the nearest tenth. Be sure to include units. Show all your work to receive partial or full credit. t = 0 32 B A velt) (1)3A 24V 3F

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Capacitor

The capacitor is an element used to store electrical energy in the electrical field. A capacitor is a form of passive energy.

Question

**Circuit Analysis Exercise**

For the following circuit, assume it has been in this state for a very long time. At \( t = 0 \), the switch moves from position A to position B. Find the equation for the capacitor voltage for all time, \( v_C(t) \), and evaluate it at \( t = 2 \) seconds. Along the way, find \( v_C(0^-) \), the capacitor voltage just before the switch occurs, \( v_C(\infty) \), long after the switch has moved to position B, and the time constant \( \tau \) that the capacitor sees after the switch has happened. Put all your answers in the provided boxes rounded to the nearest tenth. Be sure to include units. Show all your work to receive partial or full credit.

**Diagram Explanation**

- **Components and Values**:
- Voltage source: \( 24V \)
- Resistors: \( 3\Omega \), \( 9\Omega \), \( 2\Omega \), \( 4\Omega \)
- Capacitor: \( 3F \)
- Current Source: \( 3A \)

- **Switching Scenario**:
- The switch changes from position A to B at \( t = 0 \).
- Position A connects the \( 3\Omega \) resistor to the capacitor.
- Position B connects the \( 2\Omega \) and \( 4\Omega \) resistors in series to the existing circuit.

**Calculations Need**:
- Initial voltage across the capacitor \( v_C(0^-) \).
- Final voltage across the capacitor \( v_C(\infty) \).
- Time constant \( \tau \) for the RC circuit when the switch is at position B.
- The expression for \( v_C(t) \) and its value at \( t = 2 \) seconds.

**Answer Boxes**:
- \( v_C(0^-) = \)
- \( v_C(\infty) = \)
- \( \tau = \)
- \( v_C(2) = \)

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