A force of 1 point 5 times 10 squared cap n is exerted on a charge of 1 point 4 times 10 to the negative 7 power cap c that is traveling at an angle of 75 degrees to a magnetic field. If the charge is moving at 1 point 3 times 10 to the 6th power m/s , what is the magnetic field strength?
Answer
A
3 point 2 times 10 cubed cap t
B
8 point 2 times 10 squared cap t
C
8 point 5 times 10 squared cap t
D
6 point 4 times 10 to the 10th power cap t
Explanation
Use the magnetic force formula F = |q|vB sin θ, so B = F/(|q|v sin θ). Substituting gives B = 150/[(1.4 × 10⁻⁷)(1.3 × 10⁶)sin 75°] ≈ 8.5 × 10² T. The magnetic field strength is therefore 8.5 × 10² T, choice C.
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