what is the angle between the wire and the magnetic field?

Question

The magnetic force exerted on a 1.650m straight wire is 1.975N. The wire carries a current of 5.30A in a region with constant magnetic field of 0.250T. what is the angle between the wire and the magnetic field?

Answer 1

The magnitude of the magnetic force is

F = iLBsinθ ⇒

θ = sin^-1[F / (iLB)]

You have F, i, L , and B in compatible units. Plug in the numbers and get θ.