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A square coil of 100 turns and side leng...

A square coil of 100 turns and side length 1 cm is rotating in a uniform magnetic field such that axis of rotation is perpendicular to magnetic field. If coil completes 1 rotation in 1ms.Find average EMF induced in `muV)` in half rotation. ( Magnetic field `( B) = 10^(-5) T ` ) .

Text Solution

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Flux ` ( phi) `= NBA
Change influx `= 2NBA`
`=2 xx 100 xx 10^(-5) xx 10^(-4)`
EMF indexed `= ( Delta phi)/( t ) = (2 xx 10^(-7))/( t)`
`t = ( 1ms )/(2) = 0.5ms `
EMF `= ( 2 xx 10^(-7))/( 0.5 xx 10^(-3)) = 4 xx 10^(-4) V `
` = 400 xx 10^(-6) V = 400 mu V `
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