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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 `5xx10^(-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

2V

B

`0.2 V`

C

`2 xx 10^(-3) V`

D

`0.02 V`

Text Solution

Verified by Experts

The correct Answer is:
D
Number of turn in coli N = 800
Area of coil `A = 0.05 m^2`
Magnetic field `B = 5 xx 10^(-5) T`
Time taken to rotate `Delta t = 0.1 s`
Initial angle `phi_1 = 0^@`
Final angle `phi_2 = 90^@`
Change in magnetic flux `Delta phi`
` N (B A cos 90^@ - BA cos 0^@)`
`= -NBA`
`= -800 xx 5 xx 10^(-5) xx 0.05`
`= -2 xx 10^(-3) ` weber
` e = - (Delta phi)/(Delta t) = ((-)2 xx 10^(-3) Wb)/(0.1 s) = 0.02 V `
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