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Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismMagnetic Dipole & MomentEasy2 minPYQ_2020

PhysicsEasysingle choice

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 each of them are made three times, the new ratio will become

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Answer:

Solution:

The magnetic field, $B = \frac{μ_{0} I}{2 R}$

$∴$ Magnetic moment, $μ = I A$

$\frac{B}{μ} = \frac{\frac{μ_{0} I}{2 R}}{Iπ R^{2}} = \frac{μ_{0}}{2 π R^{3}} \propto \frac{1}{R^{3}}$

if $R$ and $I$ are made three times, new

$\frac{B^{'}}{μ} = \frac{1}{27} \frac{B}{μ} = \frac{x}{27}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:MagnetismSubtopic:Magnetic Dipole & Moment

⏱ 2mℹ️ Source: PYQ_2020

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