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← JEE Main 2017 · 2 Apr · Shift 1
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JEE Main 2017 · 2 Apr · Shift 1, Physics question 20

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 :

Induced current (amp) against time: a straight line falling from 10 A at t = 0 to zero at 0.5 s.
Choose one option
Answer and worked solution

Official answer: C

The charge through the coil is the area under the I-t graph, q=12×10×0.5=2.5q=\frac12\times10\times0.5=2.5 C. Since q=ΔΦRq=\dfrac{\Delta\Phi}R:
ΔΦ=qR=2.5×100=250 Wb.\Delta\Phi=qR=2.5\times100=250\text{ Wb}.