1
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Question

# Two similar circular loops of radius R, are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and I√3 respectively. The magnetic field at the centre of the coil is :

A
μ0I2R
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B
μ0IR
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C
4μ0IR
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D
3μ0IR
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Solution

## The correct option is B μ0IRThe magnetic field at the center of the circular coil of radius R carrying current I is given byB=μ0I2R. . . . . . .(1)The magnetic field at the center of the circular coil of radius R carrying current √3I is given byB′=√3μ0I2R=B√3 (from equation 1)The net magnetic field, Bn=√B2+3B2=2BBn=2.μ0I2R=μ0IRThe correct option is B.

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