1. A 139-turn circular coil of radius 2.37 cm is immersed in a uniform magnetic
ID: 1292629 • Letter: 1
Question
1. A 139-turn circular coil of radius 2.37 cm is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. During 0.129 s the magnetic field strength increases from 59.5 mT to 92.7 mT. Find the magnitude of the average EMF, in millivolts, that is induced in the coil during this time interval.
2. A baton twirler is twirling her baton in a horizontal circle at a rate of 2.33 revolutions per second. Calculate the induced EMF between the center and one end of the baton if the magnetic field of the Earth is 0.500 gauss and oriented at 15.44o with respect to the horizontal. Assume the baton is 40.1 cm in length.
Explanation / Answer
Avg. emf = N *d(flux)/dt
= N* d(B.A)/dt
= 139 *pi*0.0237^2 *(92.7 - 59.5)/0.129 mV
= 63.13 mV
**********************
induced emf = N*B*A*w*costheta
= 5 *10^-5 *pi*0.401^2 *cos(90-15.44) *2.33*2*pi
= 422.5 mV
=
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