The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change is

\frac{B R}{2}

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2 B R

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\frac{B R}{4}

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B R

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Solution

The correct option is A $\frac{B R}{2}$
$\int \to E . d \to l = - \frac{d ϕ}{d t} = - A \frac{d B}{d t} (∵ \frac{d B}{d t} = B given)$
$\Rightarrow | \begin{matrix} E \end{matrix} | = \frac{π R^{2} . B}{2 π R}$
$\Rightarrow E = \frac{B R}{2}$

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Q. The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change, is

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The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change is

The correct option is A BR2∫→E.d→l=−dϕdt=−AdBdt(∵dBdt=B given) ⇒|E|=πR2.B2πR ⇒E=BR2

The correct option is A $\frac{B R}{2}$
$\int \to E . d \to l = - \frac{d ϕ}{d t} = - A \frac{d B}{d t} (∵ \frac{d B}{d t} = B given)$
$\Rightarrow | \begin{matrix} E \end{matrix} | = \frac{π R^{2} . B}{2 π R}$
$\Rightarrow E = \frac{B R}{2}$