In a coil of resistance 100 $\Omega$, a current is induced by chang...

Question

In a coil of resistance 100 $\Omega$, a current is induced by changing the magnetic flux through it. The variation of current with time is as shown in the figure (current decreases linearly from 0.5 A to 0 in 0.2 s). Find the magnitude of change in flux through the coil.

Accepted Answer

From the graph: current decreases from $I_0 = 0.5$ A to 0 in $t = 0.2$ s.

Charge flowed:

$$q = \frac{1}{2} \times I_0 \times t = \frac{1}{2} \times 0.5 \times 0.2 = 0.05 \text{ C}$$

Change in flux:

$$q = \frac{\Delta\Phi}{R}$$

$$\Delta\Phi = qR = 0.05 \times 100 = 5 \text{ Wb}$$

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