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# Urgent... Plz plz solve this numerical attached below.

Asked by subhrajayanta64 25th August 2019, 3:28 AM
Figure shows a uniformly charged disc of radius R  with uniform charge density σ per unit area.
Let the axis of disc coincide with z-axis of cartesian coordinate system and centre of disc is at origin.

If the disc is roatating with angular velocity ω, then we get current flow in circular direction due to
rotational motion of charges in the disc. This creates magnetic field in surrounding region

Magnetic vector potential A at a point P on the axis which is at a distance z due to small area element da is given by

...............................(1)
where K is current density vector, K = σ ω r  and area element da = dr rdφ = r dr dφ

By using these substitutions, eqn.(1) is written as

......................(2)

By substituting the above integration results in eqn.(2), we get Vector potential A as

Direction of vector potential is along +ve z-axis , as per eqn.(1)  [  da is vector area , direction of da is along z-axis ]
Answered by Expert 25th August 2019, 4:25 PM
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