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









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