Question

A wire that runs along the y-axis carries a 2.0 A current in the positive y-direction. At a particular instance of time, an object of charge q = −3.0C is located at (x, y, z) = (0, 0, 3.0m), and is moving in the direction xˆ+yˆ, at a speed of 2.0 m/s. At that very instance of time, what is the magnitude and direction of the magnetic force on the object?

Answer 1

step;1

Given that

current i =2 A

charge q=-3 c

length L=3 m

step;2

now we find the magnetic field

magnetic field B=2*10^-7*2/3=1.3*10^-7 T

step;2

now we find the magnetic force

V*B=.....i...............j.............k

...........2...............2.............0

...........0...............0...........1.3*10^-7

V*B=i[2.6*10^-7]-j[2.6*10^-7]+k[0]

V*B=2.6*10^-7 i-2.6*10^-7 j

now we find the force

force F=--3[2.6*10^-7 i-2.6*10^-7 j]

=7.8*10^-7 N

direction =tan^-1[7.8*10^-7/-7.8*10^-7]=135 degree