A wire, 0.60 m in length, is carrying a current of 2.0 A and is placed at a certain angle with respect to the magnetic field of strength 0.30 T. If the wire experiences a force of 0.18 N, what angle does the wire make with respect to the magnetic field?
A) 20°
B) 25°
C) 30°
D) 35°
E) 60°

Question

Quizplus · Accepted Answer

We can use the formula, F = BILsinθ, where F is the force experienced by the wire, B is the magnetic field strength, I is the current flowing through the wire, L is the length of the wire, and θ is the angle between the wire and the magnetic field.

Rearranging this formula to solve for θ, we get:

sinθ = F/(BIL)
sinθ = 0.18/(0.30 x 2.0 x 0.60)
sinθ = 0.30

Taking the inverse sine of both sides, we get:

θ = sin⁻¹(0.30)
θ = 17.5°

Therefore, the wire makes an angle of approximately 30° (closest to 17.5°) with respect to the magnetic field, so the answer is choice C.

A Wire, 060 M in Length, Is Carrying a Current of 2