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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

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

Introductory Circuit Analysis (13th Edition)
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 \( i_L(0^+) = -0.3 \, \text{mA} \). 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.
Transcribed Image Text:**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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