Two parallel long wires carry the same current and repel each other with a force F per unit length. If both these currents are doubled and the wire separation tripled, the force per unit length becomes:

When the currents are doubled and the wire separation tripled, the force per unit length becomes 4/3 of the initial force per unit length.

Explanation:

Since the two wires carry the same current, the force F of repulsion per unit length is given by:

Where:

I: is the current

B: is the magnetic field

l: is the wire's length

h: is the separation between the wires

μ₀: is the permeability constant  

When the two parallel long wires carry the same current and repel each other with a force F per unit length we have:

And when the currents are doubled and the wire separation tripled, the force per unit length becomes:

Therefore, when the currents are doubled and the wire separation tripled, the force per unit length becomes 4/3 of the initial force per unit length.

I hope it helps you!                                                                            

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