The radius and number of turns of a circular coil are double. The magnetic induction at its centre will be _______.

one fourth

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four times

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same

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double

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Solution

The correct option is C same
Magnetic field at the center of the circular coil, $B = \frac{μ_{o} i N}{2 R}$
$⟹ B \propto \frac{N}{R}$
So, if the number of turns and coil are doubled, magnetic field remains the same.

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