Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismMiscellaneousHard2 minPYQ_2020
PhysicsHardsingle choice

A disc of radiusRrotates with a constant angular velocityωabout its own axis. The surface charge density of this disc varies asσ=ar2whereris the distance from the centre of the disc. Determine the magnetic field intensity at the centre of the disc.

Options:

Answer:
B
Solution:



dA=2πr·dr

dq=σ·dA=2πar3·dr

i=dqf⁡=dqω2π=aωr3·dr

dB=μ0i2r=aμ0ωr2dr2

∴B=∫0RdB=μ0aωR36

Stream:JEESubject:PhysicsTopic:MagnetismSubtopic:Miscellaneous
⏱ 2mℹ️ Source: PYQ_2020

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