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Chapter 23: Q69PE (page 863)

If you want a characteristic RL time constant of 1.00 s, and you have a resistor 500惟, what value of self-inductance is needed?

Short Answer

Expert verified

The value of self-inductance is 500 H

Step by step solution

01

Given Data

The time constant of the RL circuit is 蟿=1.00s

The value of resistance isR=500惟

02

Concept Introduction

The trait of a current-carrying coil that resists or opposes the change in current flowing through it is known as self-inductance. This is mostly owing to the self-induced emf generated by the coil.

03

Calculating the Value of Self-Inductance

In RL circuits, the time constant,蟿, can be expressed as,

蟿=LR鈥︹赌︹赌︹赌︹赌�.(1)

Rearrange equation (1) for the self-inductance and the substitute the given data, such that

L=蟿RL=(1.00s)脳500惟=500H

Therefore, the self-inductance is 500 H

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