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Q.

At the centre of a circular coil of radius 5 cm carrying current, magnetic field due to earth is 0.5×10-5 W/m2 . What should be the current (in A) flowing through the coil so that it annuls the earth's magnetic field

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answer is 0.4.

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Detailed Solution

We know that field due to coil at centre is B=μ0I2rIt annuls the earth's magnetic field. So, μ0I2r=0.5×10−5​I=2×0.05×0.5×10−5μ0=54πA=0.4A
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