An AC generator consists of 8 turns of wire in a loop or coil,the cross-sectiona

Question

An AC generator consists of 8 turns of wire in a loop or coil,the cross-sectional area of the loop is A=0.09m2, witha total resistance of 12. The loop is rotating in amagnetic field B=0.5T at a constant rate of 60Hz. A) Find the maximum EMF and current induced in the coil B) Write the equations for the time variation of the inducedEMF and current An AC generator consists of 8 turns of wire in a loop or coil,the cross-sectional area of the loop is A=0.09m2, witha total resistance of 12. The loop is rotating in amagnetic field B=0.5T at a constant rate of 60Hz. A) Find the maximum EMF and current induced in the coil B) Write the equations for the time variation of the inducedEMF and current

Explanation / Answer

E = / t = B A / t
A = 8 * .09 = .72 T = 1 / f = .0167 T / 4 = 4.17 * 10E-3     time for flux togo from min to max E = .5 * .72 / 4.17 * 10E-3 = 86.4 V E = 86.4 sin t = 86.4 * sin 120 t        I = I0 sin t I0 = E / R = 86.4 / 12 = 7.2 amps I = 7.2 sin 120 t

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