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15 Aug 2009 21:47:40 IST

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A rectangular coil of single turn, having area A, rotates in a uniform magnetic field B an angular

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A rectangular coil of single turn, having area A, rotates in a uniform magnetic field B an angular velocity w about an axis is perpendicular to the field .If initially the plane of coil is perpendicular to the field,then the average induced e.m.f. when it has rotated through 90 degree is???a. wBA/pie b. wBA/2 pie c. wBA/4 pie d. 2wBA/ pie

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Rajdeep chakraborty

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Joined: 17 Aug 2009

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24 Aug 2009 15:40:11 IST

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Consider rhe situation when the loop has rotated by an angle 0

net flux through thr loop = B A cos0

emf induced E = d(B A cos0) / d0 = -B A sin0 d0 / dt = -B A sin0 w

so, avg emf induced in 90 degree rotation = integral of Ed0 within the limits 0 to pi/2

integral of d0 within the limits 0 to pi/2

= -B A w

pi/2

= -2BAw / pi

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