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Expert-verified(a) What is the maximum torque on a 150-turn square loop of wire 18.0 cm on a side that carries a 50.0-A current in a 1.60-T field? (b) What is the torque when θ is 10.9º?
(a) The maximum torque is .
(b) When , the torque equals .
Torque can be a force applied on the different current carrying loops/segments in a uniform magnetic field.
The torque can be estimated using the expression,
………………(1)
where the number of turns, , the current, , the area of the loop, , and the inclination angle of the loop, .
The maximum torque can be obtained when .
The area of the current-carrying loop is,
This can be used in equation (1) to determine the torque, such that,
Therefore, the maximum torque is .
Substitute the given data in equation (1), to determine the torque,
Hence, the value of torque is .
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