A force of 1.5 * 102 N is exerted on a charge of 1.4 * 10-7 C that is traveling at an angle of 75° to a magnetic field.

If the charge is moving at 1.3 * 106 m/s, what is the magnetic field strength?

8.2 * 102 T

8.5 * 102 T

3.2 * 103 T

6.4 * 1010 T

Answer: B

Option (B) is correct. The magnetic field strength=8.5 x 10² T

Explanation:

the magnetic force Fm is given by

Fm = q V B sinθ

q = charge=1.4 x 10⁻⁷ C

v = velocity = 1.3 x 10⁶ m/s

B = magnetic field strength

Fm = magnetic force = 1.5 x 10² N

θ=75°

so 1.5 x 10² = (1.4 x 10⁻⁷) (1.3 x 10⁶) (B) sin75

B=8.5 x 10² T