ElectroMagnetic InductionHard
Question
A uniform but time varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of the paper is shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region
Options
A.is zero
B.decreases as 1/r
C.increases as r
D.decreases as 1/r2
Solution
or E(2πr) = πa2
for r ≥ a ∴ E =
∴ Induced electric field ∝
For r ≤ a
E(2πr) = πr2
or
or E ∝ r At r = a,
Therefore, variation of E with r (distance from centre) will be as follows :
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