A coil of area 100` cm^(2)` having 50turns is perpendicular to a magnetic field of intensity 0.02T. The resistance of the coil is `2Omega`. If t is removed from magnetic field in is the charge flown through the coil is:

Options

A. 0.2 C
B. 2C
C. 0.1C
D. 1C

Answer

C

Explanation

Initial magnetic flux linked with the coil is
`phi_(i)=BA cos theta = 0.1xx200xx10^(-4)xx cos 0^(@)=2xx10^(-3)Wb`
Final magnetic flux linked with the coil is `phi_(f)=0`
`therefore` By Faraday.s law, `epslion=-(N Delta phi)/(Delta t)=(-N(phi_(f)phi_(i)))/(Delta t)`
`=(-100(0-2xx10^(-3)))/(1)=2xx10^(-1)V=0.2 V`
Induced current
`I=(epsilon)/(R )=(0.2V)/(2Omega)=0.1 A`
Induced charge `q=It=0.1xx1=0.1C`