Two long parallel wires are separated by a distance of 12cm carry electric currents of 2A and 4A. The distance of null point from the conductor carrying larger current when currents are flowing in the opposite direction is

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12 cm

24 cm

4cm

16 cm

answer is D.

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Detailed Solution

$\begin{array}{l} B_{1} = B_{2}; \frac{μ_{0} i_{2}}{2 πx} = \frac{μ_{0} i_{1}}{2 π (r + x)} \\ (∵ i_{1} = 2 A, I_{2} = 4 A, r = 12 cm) \\ \frac{4}{x} = \frac{2}{(12 + x)}; x = 24 cm \end{array}$

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