Two circular coils of radii 5 cm and 10 cm carry equal currents of 2 A. The coils have 50 and 100 turns, respectively and are placed in such a way that their planes as well as their centers coincide. Magnitude of magnetic field at the common center of coils is

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8π×10−4 T, if current in the coils are in same sense

4π×10−4 T, if current in the coils are in opposite sense

zero, if current in the coils are in opposite sense

8π×10−4 T, if current in the coils are in opposite sense

answer is A.

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Detailed Solution

Using B=μ0NI2R B→1=B→2=4π×10−4 TIf current in same sense Bnet=8π×10−4 TIf current in opposite sense Bnet =0

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