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Question

A solenoid 600mm long has 50 turns on it and is wound on an iron rod of 7.5mm radius. Find the flux through the solenoid when the current in it, is 3A. The relative permeability of iron is 600.


A

1.66Wb

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B

1.66nWb

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C

1.66mWb

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D

1.66μWb

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E

1.66pWb

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Solution

The correct option is C

1.66mWb


Step 1: Given data

Length of a solenoid, L=600mm

Radius of the solenoid, d=7.5mm=7.5×10-3m

Current, I=3A

Total number of turns,N=50

Step 2: Find Magnetic flux

Magnetic flux through one loop is

ϕ=BAϕ=μrμ0N2AILϕ=600×4π×10-7×502×π×7.5×10-32×3600×10-3ϕ=1.66x10-3Wbϕ=1.66mWb

Hence, option C is correct.


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