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 $t=2 s$ is A.

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Answer: (2)

Solution:

$\varepsilon=-\left(\frac{d \phi}{dt}\right)=10 t-36$

at $t=2, \varepsilon=16 V$

$i=\frac{\varepsilon}{R}=\frac{16}{8}=2 A$