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Question

Physics Question on Electromagnetic induction

In a coil of resistance 100Ω100 \, \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 :

A

200 Wb

B

225 Wb

C

250 Wb

D

275 Wb

Answer

250 Wb

Explanation

Solution

ε=dϕdt\varepsilon = \frac{d\phi}{dt}
iR=dϕdtiR = \frac{d\phi}{dt}
dϕ=Ridt\int d\phi = R \int idt
Magnitude of change in flux = R ×\times area under current vs time graph
=100×12×12×10= 100 \times \frac{1}{2} \times \frac{1}{2} \times 10
=250Wb= 250 \, Wb