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Chapter 30: Q74P (page 900)

Two solenoids are part of the spark coil of an automobile. When the current in one solenoid falls from 6.0Ato zero in 2.5ms, an emf of 30 kVis induced in the other solenoid. What is the mutual inductance M of the solenoids?

Short Answer

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Step by step solution

01

Given

ε=30kV=30×103V

didt=6.0A2.5ms=6.0A2.5×10-3s

02

Understanding the concept

We have the formula for the induced emf in terms of the mutual inductance in the solenoid and we can rearrange the formula to get the value for the mutual inductance.

ε=M/|di/dt|

03

Calculate the mutual inductance M of the solenoids 

We have,

ε=M/|di/dt|M=εdidtM=30×10362.5×10-3M=12.5H≈13H

Mutual inductance of the coil is 13H

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