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Question

A toroidal solenoid has 3000 turns and a mean radius of 10 cm. It has a soft iron core of relative permeability 2000. What is the magnitude of the magnetic field in the core when a current of 1 A is passed through the solenoid ?

A
0.012T
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B
0.12T
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C
1.2T
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D
12T
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Solution

The correct option is D 12T
Given: N=3000
r=10cm=0.1m
n=N2πr
μr=2000
I=1A
Solution:
For a solenoid magnetic field, B=μnI=μrμ0nI
B=2000×4π×107×N2πr×1

=2000×4×107×30002π×0.1×1=12T
So,the correct option:D


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