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Please help me. I have triedthis problem many times without success. A particle

ID: 1741949 • Letter: P

Question

Please help me. I have triedthis problem many times without success.
A particle of charge q = e movesin a circle of radius =0.58 m withspeed v = 2.300×107 m/s. Treating the circular path as a current loop withconstant current equal to its average current, find the maximumtorque exerted on the loop by a uniform magnetic field of magnitudeB = 1.30 T.
A particle of charge q = e movesin a circle of radius =0.58 m withspeed v = 2.300×107 m/s. Treating the circular path as a current loop withconstant current equal to its average current, find the maximumtorque exerted on the loop by a uniform magnetic field of magnitudeB = 1.30 T.

Explanation / Answer

The charge of the particle is q = e = 1.6 * 10-19C The particle moves in a circle of radius r = 0.58 m The speed of the particle is v = 2.300 * 107m/s The magnitude of the uniform magnetic field is B = 1.30T The maximum torque exerted on the loop by the magnetic fieldis = F * r Here,F = qvB or = qvB * r Substituting the values in the above equation,we get = 1.6 * 10-19 * 2.300 * 107 *1.30 * 0.58 or = 2.77 * 10-12 N-m
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