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Question

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


A
one fourth
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B
four times
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C
same
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D
double
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Solution

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

Physics
NCERT
Standard XII

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