**Circuit Analysis Problem**In the circuit, find \( i(t) \) for \( t > 0 \) if \( i(0) = 6 \) A. Take \( L = 12 \) H.**Circuit Diagram:**- A series circuit with the following components: - A 10 Ω resistor. - An inductor labeled \( L \). - A dependent current source with a value of \( 0.5i \). - A 40 Ω resistor.The current direction \( i \) is shown entering the circuit from the left through the inductor.**Solution:**The expression for the current \( i(t) \) is given by:\[i(t) = 6 e^{- \Box t} \, \text{A}\]Note: Fill the box (\(\Box\)) with the correct value after solving the circuit equations.

Given that, i(0)=6AL=12H Here we have to find the current i(t) in inductor.

Answered: The value of i(t) is 6 e¯| tA.

Engineering

Electrical Engineering

The value of i(t) is 6 e¯| tA.

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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Question

**Circuit Analysis Problem**

In the circuit, find \( i(t) \) for \( t > 0 \) if \( i(0) = 6 \) A. Take \( L = 12 \) H.

**Circuit Diagram:**

- A series circuit with the following components:
- A 10 Ω resistor.
- An inductor labeled \( L \).
- A dependent current source with a value of \( 0.5i \).
- A 40 Ω resistor.

The current direction \( i \) is shown entering the circuit from the left through the inductor.

**Solution:**

The expression for the current \( i(t) \) is given by:

\[
i(t) = 6 e^{- \Box t} \, \text{A}
\]

Note: Fill the box (\(\Box\)) with the correct value after solving the circuit equations.

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