Determine the force on a 150 cm wire that carries a 30 A cur

Determine the force on a 15.0 cm wire that carries a 3.0 A current and is oriented at an angle of 20 degrees with respect to a 0.017 T magnetic field.

a) .26 T
b) 7.7×10^-3 T
c) 2.6×10^-3 T
d)7.2×10^-3 T

Solution

Here ,

length of wire , L = 0.15 m

current in the wire , I = 3 A

theta = 20 degree

B = 0.017 T

magnetic force acting on the wire = B*I*L*sin(theta)

magnetic force acting on the wire = 0.017 * 3 * 0.15 * sin(20)

magnetic force acting on the wire = 2.6 *10^-3 N

the magnetic force acting on the wire is 2.6 *10^-3 N