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A circular coil of radius R = 10cm havin...

A circular coil of radius R = 10cm having 500 turns and total resistance `2Omega` is placed initially perpendicular to the earth's magnetic field of `3xx10^(-5)`T. The coil is rotated about its vertical diameter by an angle `pi` in 0.5 second. The induced current in the coil is

A

0.5 mA

B

1.0 mA

C

1.5 mA

D

3.0 mA

Text Solution

Verified by Experts

The correct Answer is:
B
`theta_(i)=0,theta_(f)=180^(@)`
`varphi_(i)=BAcos0^(@)=3xx10^(-5)xxpi(10xx10^(-2))^(2)=3pixx10^(-7)wb`
`varphi_(f)=-3pixx10^(-7)wb`
Induced emf-
`e=-N(dvarphi)/dt=(-N(varphi_(f)-theta_(i)))/(Deltat)`
= `(500xx6pixx10^(-7))/0.5=1.896xx10^(-3)~~2xx10^(-3)V`
Induced current-
`I=e/R=0.948xx10^(-3)A~~1mA`.
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