a wire of 88cm long bent into a circular loop is placed perpendicular to the B of 2.5wb/m2.within 0.5 sec the loop is changed into a square of each side 22cm & B is increased to 3wb/m2.calculate the value of emf induced

Asked by anjaly | 12th Sep, 2012, 06:37: PM

Expert Answer:

Length of wire: L = 88cm
thus radius of circle= R = L/2(pi)= 14 cm
thus area of circle, Ac = (pi)R2=  606 cm2
and magnetic field through it, B = 2.5 wb/m2
thus initial flux = 606 x 2.5 / 10000 = 0.1515 wb
 
now area of square, As = 484 cm2
magnetic field,B = 3 wb/m2
final flux = 484 x 3 /10000 = 0.1452 wb
 
time taken,t = 0.5s
 
thus emf induced is equal to the rate of change of flux= -(0.1452 - 0.1515)/0.5 = 0.0126 V

Answered by  | 13th Sep, 2012, 12:51: AM

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