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)
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 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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a70e2d2-d641-435a-b212-d4266cff05fc%2Fd3e6662c-7c10-4289-a0ed-db4a2d2cfc14%2Futmlnjk_processed.png&w=3840&q=75)
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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