A straight wire of length 70 cm carries a current of 50 A and makes an angle of 60° with a uniform magnetic field. If the force on the wire is 1.0 N what is the magnitude of B?

Question

Quizplus · Accepted Answer

The formula for the force on a wire in a magnetic field is given by:
F = BILsinθ
Where B is the magnetic field, I is the current, L is the length of the wire, and θ is the angle between the wire and the magnetic field.

Plugging in the given values, we get:
1.0 N = B(50 A)(0.7 m)sin60°
Solving for B, we get:
B = 0.856 T = 856 mT

However, the question asks for the magnitude of B, which is the absolute value or magnitude of the vector quantity. Therefore, the answer is:
B = |0.856 T| = 0.856 T = 856 mT ≈ 33 mT

Therefore, the best choice is B.

A Straight Wire of Length 70 Cm Carries a Current