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Question

Two similar coils of radius R are lying concentricaly with their planes at right angles to each other. The current flowing In them are l and 2l, respectively. The resultant magnetic field induction at the centre will be?

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Solution

Magnetic field at the centre of circular current carrying coil of radius R and currect I is= μ0I/2R=B

Magnetic field at the centre of circular current carrying coil of radius R and current 2I is = μ02I/2R=2B

The resulting magnetic field will be =√ [B^2+(2B)^2]=√5 B


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