JEE MAIN - Physics (2024 - 31st January Evening Shift - No. 29)
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.
Answer
2
Explanation
$$\begin{aligned}
& \varepsilon=-\left(\frac{\mathrm{d} \phi}{\mathrm{dt}}\right)=10 \mathrm{t}-36 \\
& \text { at } \mathrm{t}=2, \varepsilon=16 \mathrm{~V} \\
& \mathrm{i}=\frac{\varepsilon}{\mathrm{R}}=\frac{16}{8}=2 \mathrm{~A}
\end{aligned}$$
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