1.

A uniform but time varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of paper as shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region.

Answer»

is zero
decreases as `(1)/(r )`
increases as r
decreases as `(1)/(r^(2))`

Solution :`oint VEC(E ).vec(dl)=|(-d PHI)/(dt)|=(d)/(dt)(pi a^(2)B)`
or`E2 pi r=pi a^(2)|(dB)/(dt)|therefore E=(a^(2))/(2r)|(dB)/(dt)| therefore E prop (1)/(r )`.


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