The 10-turn loop of wire shown in the figure(Figure 1)lies in a horizontal plane
ID: 1264462 • Letter: T
Question
The 10-turn loop of wire shown in the figure(Figure 1)lies in a horizontal plane, parallel to a uniform horizontal magnetic field, and carries a 2.0 Acurrent. The loop is free to rotate about a nonmagnetic axle through the center. A 50 g mass hangs from one edge of the loop.
Part A
What magnetic field strength will prevent the loop from rotating about the axle?
Express your answer to two significant figures and include the appropriate units.
B = The 10-turn loop of wire shown in the figure(Figure 1)lies in a horizontal plane, parallel to a uniform horizontal magnetic field, and carries a 2.0 Acurrent. The loop is free to rotate about a nonmagnetic axle through the center. A 50 g mass hangs from one edge of the loop. Part A What magnetic field strength will prevent the loop from rotating about the axle? Express your answer to two significant figures and include the appropriate units. B =Explanation / Answer
N = 10
Current = i = 2 A
w = 5 cm = 0.05 m
Area = 10 cm x 5 cm = 50 cm^2 = 0.005 m^2
Torque due to mass = Torque from loops magentic interaction
Torque due to mass = m g w / 2
Torque from loops magentic interaction = i N A B
i N A B = m g w / 2
B = m g w / (2*i*N*A)
B = (0.05*9.81*0.05)/(2*2*10*0.005)
B = 0.1226 T = 0.12 T
magnetic field strength = B = 0.12 T
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