Electro Magnetic Induction And Alternating Currents Question 318

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, as shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region [IIT-JEE (Screening) 2000]

Options:

A) Is zero

B) Decreases as 1r

C) Increases as r

D) Decreases as 1r2

Show Answer

Answer:

Correct Answer: B

Solution:

Construct a concentric circle of radius r.

The induced electric field (E) at any point on the circle is equal to that at P.

For this circle E.dl=|dφdt|=A |dBdt| or E×(2πr)=πa2.|dBdt|

E=a22r|dBdt|E1r



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