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Question

A magnetic circuit with a relative permeability of 50 has a core cross section of 5 cm2 and mean core length of 25 cm. The coil on the core has 120 turns with an mmf of 500 AT. The magnetic core flux is

A
0.75 mWb
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B
0.06 mWb
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C
0.25 mWb
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D
1 mWb
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Solution

The correct option is B 0.06 mWb
Given,
μr=50
μ0=4π×107

We know that, μ=μ0μr

Cross-section area, A=5 cm2=5×104m2

Core length, l=25 cm=25×102m

Now, Reluctance =lμ0μrA=25×1024π×107×50×5×104

Also, Flux=mmfReluctance

=500×4π×107×50×5×10425×102

=0.628×104 Wb=0.0628 mWb0.06 mWb

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