A charge of -8.3 C is traveling at a speed of 7.4 x 10 6 m/s in a region of spac
ID: 1437931 • Letter: A
Question
A charge of -8.3 C is traveling at a speed of 7.4 x 106 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 52o. A force of magnitude 5.4 x 10-3 N acts on the charge. What is the magnitude of the magnetic field? Comment on the direction of the magnetic field.A charge of -8.3 C is traveling at a speed of 7.4 x 106 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 52o. A force of magnitude 5.4 x 10-3 N acts on the charge. What is the magnitude of the magnetic field? Comment on the direction of the magnetic field.
Explanation / Answer
Magnitude of the force on teh cahrged particle moving through magnetic field is ,
F = Bqvsin (theta)
Solve for B
B = F / qvsin (theta)
B = 5.4*10^ -3 / (-8.3*10^-6 C) (7.4*10^6 m/s) sin(52) = 1.12 *10 ^-4 T
DIRECTION
52 degrees with velocity vector
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