**Problem 3**See the circuit shown below. The initial current in the inductor is \( i_L(0^+) = -0.3 \, \text{mA} \). Write the expression for the current \( i_L \) and the voltage \( v_L \) for \( t > 0 \). Sketch the waveforms to scale versus time.**Circuit Diagram:**- An inductor labeled with \( L = 20 \, \text{mH} \).- Across the inductor, the voltage is labeled \( v_L(t) \).- The initial current through the inductor is noted as \( i_L(t) \).- The circuit also includes a resistor with resistance \( R = 6 \, \text{k}\Omega \).- A switch is present in the circuit, which is indicated to open at \( t = 0 \).- A current source is providing a constant current of \( 0.5 \, \text{mA} \).**Explanation:**The circuit consists of an inductor in series with a resistor. Initially, the inductor carries a negative current of \(-0.3 \, \text{mA}\), and a current source of \(0.5 \, \text{mA}\) is connected. The task is to determine the expressions for the current through the inductor and the voltage across it for \( t > 0 \) when the switch opens. Additionally, you are required to sketch the waveforms for both the current and the voltage over time.

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Answered: Problem 3 See the circuit shown below.…

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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Problem 3 See the circuit shown below. The initial current in the inductor is i (0+)= -0.3 mA. Write the expression for the current it and the voltage UL for t > 0. Sketch the waveforms to scale versus time. i, (t) L = 20 mH elle + V₁ (1) www R = 6 kΩ 1=0. 0.5 mA