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A 800 turn coil of effective area 0.05 m...

A 800 turn coil of effective area `0.05 m^2` is kept perpendicular to a magnetic field `5 xx 10^(-5)` T. When the plane of the coil is rotated by `90^@` around any of its coplanar axis in 0.1 s, the emf induced in the coil will be

A

0.02 V

B

2 V

C

0.2 V

D

`2xx10^(-3)` V

Text Solution

Verified by Experts

The correct Answer is:
A
Here , N=800 ,`A=0.05 m^2 , B=5xx10^(-5)` T , `Deltat=0.1xxs^(-1)`
Induced emf ,
`E=(-N phi_2-phi_1)/(Deltat) =(-N(AB cos 90^@ -AB cos 0^@)/(Deltat)`
`=-(N(0-AB))/(Deltat)=(NAB)/(Deltat)`
`=(800xx0.05xx5xx10^(-5))/0.1`
`=2xx10^(-2)` V
=0.02 V
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Knowledge Check

  • A coil of surface area 200 cm^2 having 25 turns is held perpendicular to the magnetic field of intensity 0.02 Wb/m2. The resistance of the coil is 1 Omega . If it is removed from the magnetic field in 1s, the induced charge in the coil is_______ C.

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  • A coil of surface area 100 cm^2 having 50 turns is held perpendicular to the magnetic field of intensity 0.02 "Wb m"^(-2) . The resistance of the coil is 2 Omega . If it is removed from the magnetic field in 1s, the induced charge in the coil is ____

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