Question 113: Electromagnetic Induction

Question

In a coil of resistance 100 $\Omega $, 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:
![](https://app-content.cdn.examgoal.net/fly/@width/image/1l7ymnu4h/6058b986-b9c1-4587-91ca-05b3106bbb65/67698b10-3286-11ed-8893-19b23ee4c66d/file-1l7ymnu4i.png?format=png)

Accepted Answer

According to Faraday's law of electromagnetic
induction,
$\varepsilon  = {{d\phi } \over {dt}}$
Also, $\varepsilon $ = iR
$ 	herefore $ ${{d\phi } \over {dt}}$ = iR
$ \Rightarrow $ $\int {d\phi }  = R\int {idt} $
Magnitude of change in flux (d$\phi $) = R ÃÂ area under current vs
time graph
$ \Rightarrow $ d$\phi $ = $100 	imes {1 \over 2} 	imes {1 \over 2} 	imes 10$ = 250 Wb

Answer

275 Wb

Answer

200 Wb

Answer

225 Wb

Answer

250 Wb

Electromagnetic Induction

In a coil of resistance 100 \Omega , 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:

Choose the correct answer: