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Find the time constant T for the circuit below. The inductor is considered lossless. or ideal in all of the inductor transient problems. Merely write the number; the answer is understood to be in Useconds 5 kN 50 V 10mH

Find the time constant T for the circuit below. The inductor is considered lossless. or ideal in all of the inductor transient problems. Merely write the number; the answer is understood to be in Useconds 5 kN 50 V 10mH

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**QUESTION 4** Find the time constant \( T \) for the circuit below. The inductor is considered lossless, or ideal in all of the inductor transient problems. Merely write the number; the answer is understood to be in \(\mu\)seconds. **Circuit Diagram Description:** - The circuit contains a voltage source \( E \) with a value of 50 V. - A switch is present, labeled near a node in the circuit. - The circuit includes a resistor \( R_1 \) with a resistance of 5 kΩ. - The circuit path has an inductor \( L \) with an inductance of 10 mH. - The current through the inductor is denoted as \( I_L \). - There is a voltage across the inductor labeled \( v_L \). **Analysis Instructions:** To calculate the time constant (\( T \)) for the provided circuit, use: \[ T = \frac{L}{R} \] where: - \( L \) is the inductance (10 mH), - \( R \) is the resistance (5 kΩ). Express your answer in microseconds (\(\mu\)s).
Transcribed Image Text:**QUESTION 4** Find the time constant \( T \) for the circuit below. The inductor is considered lossless, or ideal in all of the inductor transient problems. Merely write the number; the answer is understood to be in \(\mu\)seconds. **Circuit Diagram Description:** - The circuit contains a voltage source \( E \) with a value of 50 V. - A switch is present, labeled near a node in the circuit. - The circuit includes a resistor \( R_1 \) with a resistance of 5 kΩ. - The circuit path has an inductor \( L \) with an inductance of 10 mH. - The current through the inductor is denoted as \( I_L \). - There is a voltage across the inductor labeled \( v_L \). **Analysis Instructions:** To calculate the time constant (\( T \)) for the provided circuit, use: \[ T = \frac{L}{R} \] where: - \( L \) is the inductance (10 mH), - \( R \) is the resistance (5 kΩ). Express your answer in microseconds (\(\mu\)s).
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