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Two parallel coaxial circular coils of equal radius ‘R’ and equal number of turns ‘N’, carry equal currents ‘I’ in the same direction and are separated by a distance ‘2R’. Find the magnitude and direction of the net magnetic field produced at the mid-point of the line joining their centres.

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Magnetic field due to a circular coil of radius ‘R’ at a distance x from centre is

Total magnetic field at centre C due to both coils

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