Solve the following problems. Round final answers to the correct number of signi
ID: 1614447 • Letter: S
Question
Solve the following problems. Round final answers to the correct number of significant figures. Label final answers with correct units. A circular coil (950 turns, radius = 6.0 cm) is rotating in a uniform magnetic field as pictured. At t = 0.0 s, the normal to the coil is parallel to the magnetic field. At t = 0.025 s, the normal makes an angle, psi = 60 degree with the magnetic field. At t = 0.0375 s, the normal is perpendicular to the magnetic field as the coil is rotating counterclockwise. An average emf of magnitude 0.075 Volts is induced in the coil. What is the magnitude of the magnetic field at the location of the coil?Explanation / Answer
Average Induced emf e = N A dBCos theta /dt
A is area = pir ^2
N is no. of turns = 950
dB is the magnetic field = ?
theta = phase = 60 deg
so
0.075 = 950 * 3.14 * 0.06^2 * dB * cos 60/0.0375
B = 5.23 *10^-4 Tesla
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