A generator uses a coil that has 160 turnsand a 035 T magnet

A generator uses a coil that has 160 turnsand a 0.35 T magnetic field. The frequencyof this generator is 60.0 Hz, and its emf has an rms value of 120V. Assuming that each turn of the coil is a square (anapproximation), determine the length of the wire from which thecoil is made.

Solution

no turns= N= 100 mag field= B= .57T RMS of EMF= 120 V E0=Erms X 2 ------ EMF=f=60Hz Angular frequency = 2f= 376.99 rad/s ------------- 169.705V/ (100x.5Tx376.99 rad/s)= .009003m2 -------------- l2 = A l=(.009003)1/2=.0948m -------------- 4l x N= 4 x 0.0948m x 100= 37.9m

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