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A wire X of length 50 cm carrying a current of 2 A is placed parallel to a long wire Y of length 5 m. The wire Y carries a current of 3 A. The distance between the two wires is 5 cm and currents flow in the same direction. The force acting on the wire Y is

Asked in JEE Main 29th July 2nd Shift 2022 · Force between parallel currents

• (1) 1.2×10⁻⁵ N directed towards wire X
• (2) 1.2×10⁻⁴ N directed away from wire X
• (3) 1.2×10⁻⁴ N directed towards wire X
• (4) 2.4×10⁻⁵ N directed towards wire X

Step-by-step solution

Why the other options are wrong

• (2) Uses the length of Y (5 m) instead of the short wire, and treats like currents as repelling.
• (3) Uses the length of Y (5 m) in place of the 0.5 m overlap.
• (4) Uses μ₀/π instead of μ₀/2π.

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