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:

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: