The figure shows a circular region of radius R occupied by a time varying magnetic field →B(t) such that dBdt<0. The magnitude of induced electric field at the point P at a distance r<R is :
A
decreasing with increase in r
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B
increasing with increase in r
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C
not varying with r
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D
varying as r−2
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Solution
The correct option is D increasing with increase in r El=dϕdt=S⋅dBdt ∴E(2πr)=πr2dBdt or E=r2dBdt or E∝r