A long straight wire carrying a current of 25 ~A rests on the table. Another wire PQ of length 1 ~m and mass 2.5 ~g carries the same current but in the opposite direction. The wire PQ is free to slide up and down. To what height will wire P

Question

A long straight wire carrying a current of 25 ~A rests on the table. Another wire PQ of length 1 ~m and mass 2.5 ~g carries the same current but in the opposite direction. The wire PQ is free to slide up and down. To what height will wire PQ rise? ( ₀=4 10⁻⁷ . SI unit )

Quantrex Academy · Accepted Answer

Correct answer: C. 5 mm

Given I ₁= I ₂=25 ~A , l=1 ~m , aligned & B = ₀ I 2 h & F = BI / = BI l aligned Force applied on PQ = Weight of the smaller current carrying wire aligned & i.e, mg = ₀ I ^2 l 2 h & h = 4 10⁻⁷ 250 25 1 2 2.5 10⁻³ 9.8 =5 ~mm aligned

A long straight wire carrying a current of 25 ~A rests on the table. Another wire PQ of length 1 ~m and mass 2.5 ~g carries the same current but in the opposite direction. The wire PQ is free to slide up and down. To what height will wire PQ rise? ( ₀=4 10⁻⁷ . SI unit )

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