Question 21: Electromagnetic Induction

Question

The magnetic flux linked with a coil satisfies the relation $$\phi=\left(4 t^2+6 t+9\right) \mathrm{Wb}$$, where $$t$$ is time in second. The emf induced in the coil at $$t=2 \mathrm{~s}$$ is

Accepted Answer

Given, $$\phi=\left(4 t^2+6 t+9ight) \mathrm{Wb}$$ and $$t=2 \mathrm{~s}$$
We know that, $$|\varepsilon|=\left|\frac{d \phi}{d t}ight|$$
Here, $$\left|\frac{d \phi}{d t}ight|=|8 t+6| \Rightarrow\left(\frac{d \phi}{d t}ight)_{t=2}=8 	imes 2+6$$
Induced emf in the coil $$=22 \mathrm{~V}$$

Answer

22 V

Answer

18 V

Answer

16 V

Answer

40 V

Electromagnetic Induction

The magnetic flux linked with a coil satisfies the relation $\phi=\left(4 t^2+6 t+9\right) \mathrm{Wb}, where t is time in second. The emf induced in the coil at t=2 \mathrm{~s}$ is

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