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A magnetic ifeld 2 xx 10^(-2)"wbm"^(-2) ...

A magnetic ifeld `2 xx 10^(-2)"wbm"^(-2)` is acting at right angle to a coil of area
`10^(3)"cm"^(2)` having `10^(2)` turns. The coil is removed from the field in 0.2 second.
Calculate the magnitude of emf induced in the coil.

Text Solution

Verified by Experts

`B=2 xx 10^(-2)"wbm"^(-2)`
`A = 10^(3)"cm"^(2)=10^(3)xx 10^(-4)m^(2)`
`A=10^(-1)m^(2)`
Number of turns = N = `10^(2)=100`
dt = 0.2 s
Induced emf = e= ?
`phi_(1)=NBA cos 0^(@)`
When magnetic field is perpendicular to area of the coil
then angle between `overset rarr B and overset rarr A` `0^(@)` .
`phi_(1)= 100 xx 2 xx 10^(-2)xx 10^(-1) xx1`
`phi_(1)=2 xx 10^(-1)=0.2"wb"`
When the coil is removed from the magnetic field then
`phi_(2)=0`
`e= - ((phi_(2)-phi_(1)))/(dt)`
`= - ((0-0.2))/(0.2)`
e = 1 volt
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