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A charge of -8.3uC is traveling at a speed of 7.4e6 m/s in a region of space whe

ID: 1265869 • Letter: A

Question

A charge of -8.3uC is traveling at a speed of 7.4e6 m/s in a region of space where there is a magnetic field. The angle between the velocity of the charge and the field is 52'. A force of magnitude 5.4e-3 N acts on the charge. What is the magnitude of the magnetic field? A charge of -8.3uC is traveling at a speed of 7.4e6 m/s in a region of space where there is a magnetic field. The angle between the velocity of the charge and the field is 52'. A force of magnitude 5.4e-3 N acts on the charge. What is the magnitude of the magnetic field?

Explanation / Answer

The magnitude of magnetic force on the charge is

F = Bqv sin theta

B = F/ qv sin theta

= 5.4e-3 N/ 8.3 * 10 ^-6 C ( 7.4 * 10 ^ 6 m/s) sin 52'.(0.0166666667 degrees/ arc minute)

= 5.81 * 10 ^ -3 T or 5.81 mT

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