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Magnetic Effects & Magnetism

JEE Main level, single correct, medium

76 of 276

Question 76 of 276

A long solenoid of radius $R$ carries a time $\left(t\right)$ dependent current $I\left(t\right)={I}_{0}t\left(1-t\right)$ . A ring of radius $2R$ is placed coaxially near its middle. During the time interval $0\leq t\leq 1,$ the induced current $\left({I}_{R}\right)$ and the induced $EMF\left({V}_{R}\right)$ in the ring change as:

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Answer: (D) At $t=0.5$ direction of ${I}_{R}$ reverses and ${V}_{R}$ is zero

I={I}_{0}t-{I}_{0}{t}^{2}

\phi =BA

\phi ={\mu }_{0}nIA

{V}_{R}=-\dfrac{d\phi }{dt}=-{\mu }_{0}nA{I}_{0}\left(1-2t\right)

{V}_{R}=0

t=\dfrac{1}{2}

And

{I}_{R}=\dfrac{{V}_{R}}{Resistanceofloop}=0

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JEE Main 2025 Apr 2 Shift 1 question paper

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