Q.

Two wires are placed in parallel; repulsion force and current in these two wires are i1 and i2 respectively. What will be a force if the current is doubled in each wire

1 2F  
2 F/2  
3 2F/4  
4 4F  

Ans.

(4)

If the current is doubled in each wire the force will be 4F. This can be explained as follows:

We know that the force of repulsion per unit length between two wires carrying current in opposite direction is:

Fl=μ0i1i22πd

Thus, when both i1 and i2 are doubled, the force between them becomes four times.