What is the magnitude of the magnetic force per unit length caused by wire 1 on

Question

What is the magnitude of the magnetic force per unit length caused by wire 1 on wire 2?

What is the direction of the magnetic force cause by wire 1 on wire 2?

Two current-carrying wires are exactly parallel to one another and both carry 2.5 A of current. The two wires are separated by a distance of 15 cm. The current in wire 1 moves down and the current in wire 2 also moves down. What is the magnitude of the magnetic force per unit length caused by wire 1 on wire 2? What is the direction of the magnetic force caused by wire 2 on wire 1 ?

Explanation / Answer

given

I1 = I2 = 2.5 A

d = 15 cm = 0.15 m

magnetic force between two parallel wires,

F = mue*I1*I2*L/(2*pi*d)

Force per unit length, F/L = mue*I1*I2/(2*pi*d)

= 4*pi*10^-7*2.5*2.5/(2*pi*0.15)

= 8.33*10^-6 N/m <<<<<---------Answer

Direction of magnetic force exerted by wire 2 on wire 1 towards right

because the force is attractive.

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