The magnetic linked with closed circuit of resistance

JEE MAIN 2024

31.01.24 S2

Question

The magnetic flux $\phi$ (in weber) linked with a closed circuit of resistance $8 \Omega$ varies with time (in seconds) as $\phi=5 t^2-36 t+1$. The induced current in the circuit at $t=2 \mathrm{~s}$ is A.

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Solution

$\begin{array}{cl}\text { Sol. } & \varepsilon=-\left(\frac{\mathrm{d} \phi}{\mathrm{dt}}\right)=10 \mathrm{t}-36 \\ & \text { at } \mathrm{t}=2, \varepsilon=16 \mathrm{~V} \\ & \mathrm{i}=\frac{\varepsilon}{\mathrm{R}}=\frac{16}{8}=2 \mathrm{~A}\end{array}$

Question Tags

JEE Main

Physics

Easy

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