A magnetic field of strength 1.0 T is produced by a strong electromagnet in a cylindrical region of radius 4.0 cm as shown in figure. A wire, carrying a current of 2.0 A, is placed perpendicular to and intersecting the axis of the cylindrical region. Find the magnitude of the force acting on the wire.
Given-
Magnetic field, (B) = 1 T
Radius of the cylindrical region, r = 4.0 cm
Electric current through the wire, I = 2 A
The wire is placed perpendicular the direction of magnetic field
So, angle between wire and magnetic field, θ = 90
Magnetic Force on a Current carrying wire is given by
where,
B= magnetic field
I = current
l = length of the wire
and θ = the angle between B and l
Magnetic force,
Here, length l which is under the base of the cylinder is of radius 2r