Question

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

A
one fourth
B
four times
C
same
D
double

Solution

## The correct option is C sameMagnetic 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.PhysicsNCERTStandard XII

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