Electromagnetic Induction Question 9
Question 9 - 2024 (31 Jan Shift 2)
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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Answer: (2)
Solution:
$\varepsilon=-\left(\frac{\mathrm{d} \phi}{\mathrm{dt}}\right)=10 \mathrm{t}-36$
at $\mathrm{t}=2, \varepsilon=16 \mathrm{~V}$
$\mathrm{i}=\frac{\varepsilon}{\mathrm{R}}=\frac{16}{8}=2 \mathrm{~A}$
