A conducting coil having 500 turns has cross sectional area `0.15 m^2`. A magnetic field of strength 0.2 T linked perpendicular to this area changes to 1.0 T in 0.4 sec. The induced emf produced in the coil will be ….. volt.

Options

A. `10.0`
B. `15.0`
C. `75.0`
D. `150.0`

Answer

D

Explanation

Induced emf `=-N (Deltaphi)/(Deltat)`
`=-N ((phi_2-phi_1))/(Deltat)`
`=-500([AB_2-AB_1])/(Deltat)`
`=-500xxA((B_2-B_1))/(Deltat)`
`=(-500xx0.15xx(1.0-0.2))/0.4`
`=(-500xx0.15xx(0.8))/0.4`
`=-500xx0.12/0.4`
`=-500xx0.3`
=-150 V
`therefore |epsilon|`=150 V