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Two wires A & B are carrying currents I 1 & I 2 as shown in the figure. The separation between them is d. A third wire C carrying a current I is to be kept parallel to them at a distance x from A such that the net force acting on it is zero. The possible values of x are : A C B I 2 d I 1 x

1. x = d I – I I 2 1 1 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ and x = d ) I I ( I 2 1 2 +
2. x = ± ) I – I ( d I 2 1 1
3. x = d I I I 2 1 1 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + and x = d ) I – I ( I 2 1 2
4. x = d I I I 2 1 2 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + and x = d ) I – I ( I 2 1 2 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ CAREER POINT CAREER POINT , CP Tower, IPIA, Road No.1, Kota (Raj.), : 0744-6630500 | www.ecareerpoint.com Email: info@cpil.in Page # 5 JEE Main Online

Correct answer: x = ± ) I – I ( d I 2 1 1

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