b) Calculate the angular velocity of the coil. Use units of rad/s. c) Evaluate t
ID: 2251812 • Letter: B
Question
b) Calculate the angular velocity of the coil. Use units of rad/s.
c) Evaluate the magnitude of the induced voltage in the coil, Vemf, at time t= 2.40 s.
The next three questions refer to this situation: A thin square coil has 79 turns of conducting wire. It is rotating with constant angular velocity in a uniform magnetic field B of 0.300T. At times there is NO magnetic flux through the coil, and at other times, there is the maximum possible flux. The graph below shows the magnetic flux PHI through ONE turn of the coil as a function of time. What is the length of a side of the coil? Calculate the angular velocity of the coil. Use units of rad/s. Evaluate the magnitude of the induced voltage in the coil, Vemf, at time t= 2.40 s.Explanation / Answer
a. Maximumflux ? = B* A
1.5 *10-3 = 0.30 * A
Area A = (side)2 = L^2 = 1.5* 10-3 / 0.30
L = ?(50* 10-4) =7.07 *10-2 m = 0.0707 cm
b. angularvelocity ? = angulardisplacement (?) / corresponding time (t)
from thegraph ? = 3?,
t = 2.5-1.25 = 1.25 s
? = 3* 3.14 /1.25 = 7.54 rad/s
c. InducedEMF Vemf = ?* N * B * A * sin ?t
Vemf = 7.54* 79 * 0.30 * 5 * 10-3 * sin (7.54 *2.40) = 0.611 V
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