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  • A uniform but time-varying magnetic field B(t) exists in a circular region of radius  and is directed into th

A uniform but time-varying magnetic field B(t) exists in a circular region of radius \alpha 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

Option: 1

is zero
 


Option: 2

decreases as \frac{1}{r}
 


Option: 3

\mathrm{increases\: as\: r. }


Option: 4

\mathrm{decreases\: as\: \frac{1}{r^{2}}}


Answers (1)

best_answer

\mathrm{\begin{aligned} & \oint \vec{E} \cdot d \vec{l}=-\frac{d \Phi_B}{d t} \\ & \mathrm{E}(2 \pi \mathrm{r})=-\pi a^2 \frac{d B}{d t} \quad \Rightarrow \quad|\mathrm{E}| \propto \frac{1}{r} \end{aligned} }

 

Posted by

Shailly goel

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