When a coil of area `5m^(2)` and number of turns 100 is placed perpendicular to a magnetic field of 10T, the flux passing through it is `5xx10Wb`. If the coil is removed from the field in 0.1s, calculate the induced emf.

Explanation

Given, B =10 T,
N=100 turns,
`A=5m^(2)` and `Deltat=0.1` s
Magnetic flux linked with coil initially, `phi_(1)=NBAsin90^(@)=NBA=100xx10xx5`
=5000 Wb
But magnetic flux linked with the coil finally, i.e. (when removed from the magnetic field), is `phi_(2)=0`.
`:.` Emf induced
`e=-(Deltaphi)/(Deltat)=-((phi_(2)-phi_(1))/(dt))`
`=-((0-5000)/(0.1))=(50000)/(1)=50000V`
`=50xx10^(3)V`