A horizontal wire carries 200A current below which another wire of linear density 20 × 10–3 Kg/m carrying a current is kept at 2cm distance. If the wire kept below hangs in air, then the current in the wire is

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A horizontal wire carries 200A current below which another wire of linear density 20 × 10^–3 Kg/m carrying a current is kept at 2cm distance. If the wire kept below hangs in air, then the current in the wire is

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9.8 A

98 A

980 A

9800 A

answer is B.

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Detailed Solution

$\begin{array}{l} F = \frac{μ_{0} i_{1} i_{2} l}{2 πr}; mg = \frac{μ_{0} i_{1} i_{2} l}{2 πr}; \frac{m}{l} g = \frac{μ_{0} i_{1} i_{2}}{2 πr} \\ 20 \times 10^{- 3} \times 9 .8 = \frac{4 π \times 10^{- 7} \times 200 \times i_{2}}{2 π \times 2 \times 10^{- 2}}; i_{2} = 98 A \end{array}$