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Question

Find the magnetic induction of the field at the point O of a loop with current I, whose shape is illustrated in the figure.


A

μ0I3π(3π2a+2b)

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B

μ0I2π(3π4a+22b)

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C

μ0I2π(2π3a+2b)

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D

μ0I2π(3π4a+22b)

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Solution

The correct option is B

μ0I2π(3π4a+22b)


BC=μ0I4πa(32π)
BS=2×μ0I4πb(sin 0+sin 45)=2×μ0I4πb
Now, B=BC+BS
=μ0I2π(3π4a+22b)


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