Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismMiscellaneousMedium3 minQB

PhysicsMediummultiple choice

A long cylindrical conductor whose axis is coincident with the z axis has an internal magnetic field given by

Answer:

A, C

Solution:

Ampere's law at r = a: $i = \frac{2 πa B ( a )}{μ _{0}} = \frac{J _{0} π a ^{2}}{3}$ - (A) correct.

Outside: $B = \frac{μ _{0} i}{2 π r} = \frac{μ _{0} J _{0} a ^{2}}{6 r}$ - (B) has an extra $π$ , wrong.

Differentiating $r B$ : $J = \frac{J _{0} ( a - r )}{a}$ , maximum at the axis - (C) correct.

Stream:JEESubject:PhysicsTopic:MagnetismSubtopic:Miscellaneous

⏱ 3mℹ️ Source: QB

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