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As shown in the figure, two very long straight wires are kept parallel to each other and 2 A current is passed through them in the same direction. In this condition the force between them is F. Now if the current in both of them is made 1 A and the directions are reversed in both, then the force between them ______.

Asked in RS Academy GUJCET booklet · Force between parallel currents

Figure: Force between parallel currents
Answer: (1) will be F/4 and attractive

Step-by-step solution

Given: two long parallel wires a fixed distance apart, each carrying 2 A in the same direction, with force F between them.

Idea: the force per unit length is (μ₀I₁I₂)/(2π d). Its size goes with the product of the currents; its sense depends only on whether the currents are parallel or antiparallel.

New currents: the product falls from 2×2=4 to 1×1=1, so the force falls to 1/4 of F.

Reversing both currents reverses each wire's field and each wire's current together, so the direction of the force is unchanged.

The wires still carry their currents the same way as each other, and parallel currents attract: the force is F/4 and attractive.

Why the other options are wrong

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