Question

A long, rigid conductor lying along the x axis, carries a current of 5.6 A in the -x direction. A magnetic field B with arrow is present, given by B with arrow = (2.2 mT)î+(8.7 mT/m4)x4?. Calculate the force on a 1.9-m segment of the conductor that lies between x = 1.6 m and x = 3.5 m.

Answer 1

we have

the force on a segment of conductor of length dl with magnetic field B is

for total force on 1.9 m long segment between x =1.6m to x = 3.5 m, we integrate the above equation between these two limits.

we get

given that

thus, we get