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A magnetic field 5 xx 10^(-4)"wbm"^(-2)...

A magnetic field `5 xx 10^(-4)"wbm"^(-2)` is acting at right angle to a coil of area
`5 xx 10^(2)"cm"^(2)` having 150 turns. The coil is removed from the field in 0.4 seconds.
Calculate the magnitude of emf induced in it.

Text Solution

Verified by Experts

`B=5 xx 10^(-4)"wbm"^(-2)`
`A=5 xx 10^(2)"cm"^(2)=5 xx 10^(2)xx 10^(-4)m^(2)`
`= 5 xx 10^(-2) m^(2)`
Number of turns = N = 150
dt = 0.4 s
`phi_(1)=NBA cos 0`
Wlien magnetic field is at right angle to area of the coil
then angle between `overset rarr B and overset rarr A "is" " "0^(@)`
`:." "phi_(1)=150 xx 5 xx 10^(-4)xx 5 xx 10^(-2)`
`phi_(1)=3.75 xx 10^(-3)wb`
When coil is removed from the magnetic field then
`phi_2=0 `
`e =-((phi_2-phi_1))/(dt) `
`=-((0-3.75xx 10^(-3)))/(0.4)`
`implies" "e=9.38 xx 10^(-3)` volt
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