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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 mWbGiven, μr=50 μ0=4π×10−7 We know that, μ=μ0μr Cross-section area, A=5 cm2=5×10−4m2 Core length, l=25 cm=25×10−2m Now, Reluctance =lμ0μrA=25×10−24π×10−7×50×5×10−4 Also, Flux=mmfReluctance =500×4π×10−7×50×5×10−425×10−2 =0.628×10−4 Wb=0.0628 mWb≃0.06 mWb

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