Three long wires all lie in an xy plane parallel to the x axis. They intersect the y axis at the origin, y = d, and y = 2d, where d = 10 cm. The two outer wires each carry a current of 6.8 A in the positive x direction.

1. What is the magnitude of the force on a 2.8 m section of either of the outer wires if the current in the center wire is 3.3 A.

(a) in the positive x direction and (b) in the negative x direction?

F =

Explanation:

The magnetic field due to the first wire can be written as:

The magnetic field due to the second wire is as follows:

The net magnetic field B =

Also; the magnetic force on wire segment  l = 2.8 m

Replacing all the values ; we have :

b)

Magnetic field due to the first wire is :

Magnetic field due to the second wire is :

Net magnetic field B =

B =  

B =

Magnetic force F =

F =  

F =

the diagram which shows forces as either balanced = same speed or unbalanced = accelerarting