In a coil of resistance 100 $Ω$ , a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is

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200 Wb

225 Wb

250 Wb

275 Wb

answer is B.

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Detailed Solution

$\begin{array}{l} I = \frac{E}{R} = \frac{1}{R} \frac{dϕ}{dt} \\ dϕ = \int IRdt \end{array}$
$\int Idt area under i-t graph = ϕ = R \times 2 .5 = 250 wb$

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