A rectangular coil has 60 turns and its length and width is 20 cm and 10 cm recpectively . The coil rotates at a speed of 1800 rotation per minute in a uniform magnetic field of 0.5 T about its one of the diameter. The maximum induced emf will be :-

Options

A. 98 V
B. 110 V
C. 113 V
D. 118V

Answer

C

Explanation

`omega = 2 pi xx f = 60 pi rad//s`
`V = V_0 sin omega t`
`V = N AB omega sin omega t`
`V_("max") = NAB omega = 60 xx 200 xx 10^(-4) xx 0.5 xx 60 pi`
`= 6 xx 2 xx 0.5 xx 6 pi`
`= 36 pi = 36 xx 3.14`
`= 113 V`