Home Physics Moving Charge and Magnetism Ampere's Circuital Law The current density inside a long, solid, c…
Physics Moving Charge and Magnetism Ampere's Circuital Law MCQ (Single Correct)

The current density inside a long, solid, cylindrical wire of radius is in the direction of the central axis, and its magnitude varies linearly with radial distance r from the axis according to , where . Find the magnitude of the magnetic field (in ) at .

A
10
B
20
C
30
D
40

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Text Solution

Verified by Experts
The correct answer is:
A

Current in the element
Current enclosed by Amperian loop of radius ,

Applying Ampere's law

On putting values,

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