A wire carrying a 32.0 A current passes between the poles of a strong magnet such that the wire is perpendicular to the magnet's field, and there is a 2.15 N force on the 3.00 cm of wire in the field. What is the average field strength (in T) between the poles of the magnet?

2.24 T

Explanation:

From Electromagnetic Field,

F = BILsin∅ ... Equation 1

Where F = Force on the wire, B = Field strength, I = current flowing in the conductor, L = length of the conductor, ∅ = The angle the conductor makes with the magnetic field.

Making B the subject of the equation,

B = F/ILsin∅ ... Equation 2

Given: F = 2.15 N, I = 32 A, L = 3.00 cm = 0.03 m, ∅ = 90° (the wire is perpendicular to the magnetic field)

Substitute into equation 2

B = 2.15 / (32*0.03*sin90°)

B = 2.15/0.96

B = 2.24 T.

Hence the Field strength = 2.24 T