The magnetic force acting on a wire that is perpendicular to a 1.8T magnetic field is 3.5N. If the current in the wire is 6.0A, what...is the length of the wire that is inside the magnetic field?
The force exerted on a conductor in a magnetic field is F.
F = BILsin(theta)
Where, F - Force in Newtons
B - Magentic field in Tesla
I - Current in Amperes
L - Length inside the magentic field in Metres
theta - is the angle the wire makes with the magnetic field.
In this instance,
3.5 = 1.8 x 6 x L x sin(90)
3.5 = 1.8 x 6 x L x 1
L = 0.324 m
The length inside the magnetic field is 0.324 m.