The ratio of the magnetic field at the centre of a current carrying circular coil to its magnetic moment is x . If the current and radius both are doubled the new ratio will become

Question

The ratio of the magnetic field at the centre of a current carrying circular coil to its magnetic moment is x . If the current and radius both are doubled the new ratio will become, 2 x, 4 x, x 4, x 8

MARKS App · Accepted Answer

x = B M = μ 0 i 2 r 1 i π r 2 or x ∝ 1 r 3 i.e., x will become x 8 when radius and current both are doubled.

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