Question 28

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

Correct Answer: 2

$$\phi=5t^2-36t+1$$. $$emf=-d\phi/dt=-(10t-36)$$. At $$t=2$$: $$emf=-(20-36)=16$$ V.

$$I=emf/R=16/8=2$$ A.

The answer is $$\boxed{2}$$.

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