Determining zero-state and zero-input responses

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Determining zero-state and zero-input responses**

Consider the following circuit, valid for \( t > 0 \). If \( i(0) = 0 \) and \( vc(0) = -2 \, V \), determine the zero-state and zero-input components of \( vc(t) \) for \( t > 0 \), given that \( R = 8 \, \Omega \). Express these components in their simplest forms.

**Circuit Diagram:**

- A voltage source of \( 5V \) is connected in series with:
  - A resistor \( R \).
  - An inductor of \( 1H \).
  - A capacitor of \( 0.04F \) with voltage \( vc(t) \) across it.

**Instructions for Submission:**

- Upload a response file (15MB max).
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Transcribed Image Text:**Determining zero-state and zero-input responses** Consider the following circuit, valid for \( t > 0 \). If \( i(0) = 0 \) and \( vc(0) = -2 \, V \), determine the zero-state and zero-input components of \( vc(t) \) for \( t > 0 \), given that \( R = 8 \, \Omega \). Express these components in their simplest forms. **Circuit Diagram:** - A voltage source of \( 5V \) is connected in series with: - A resistor \( R \). - An inductor of \( 1H \). - A capacitor of \( 0.04F \) with voltage \( vc(t) \) across it. **Instructions for Submission:** - Upload a response file (15MB max). - [Choose File button] No file chosen. - [Save button]
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