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Question

Physics Question on Faradays laws of induction

In a magnetic field of 0.05 T,0.05\, T, area of a coil changes from 101 cm2101\, cm^2 to 100 cm2100\, cm^2 without changing the resistance which is 2 Ω2\,\Omega. The amount of charge that flow during this period is

A

2.5�10−6 C2.5 � 10^{-6}\, C

B

2�10−6 C2 � 10^{-6}\, C

C

10−6 C10^{-6}\,C

D

8�10−6 C8 � 10^{-6}\, C

Answer

2.5�10−6 C2.5 � 10^{-6}\, C

Explanation

Solution

Magnetic Flux, ϕ=B⋅A\phi=B\cdot A
Change in flux, d ϕ=B⋅dAd\,\phi=B\cdot dA
=0.05(101−100)×10−4=0.05\left(101-100\right)\times10^{-4}
=5×10−6 Wb=5\times10^{-6}\,Wb
Charge dQ=dϕRdQ=\frac{d\phi}{R}
=5×10−62=2.5×10−6 C=\frac{5\times10^{-6}}{2}=2.5\times10^{-6}\,C