Two long current carrying thin wires, both with current $I,$ are held by insulating threads of length $L$ and are in equilibrium as shown in the figure, with threads making an angle $'\theta '$ with the vertical. If wires have mass $\lambda $ per unit-length then the value of $I$ is : ($g=$ $gravitational$ $acceleration$ )

Question

Two long current carrying thin wires, both with current $I,$ are held by insulating threads of length $L$ and are in equilibrium as shown in the figure, with threads making an angle $'\theta '$ with the vertical. If wires have mass $\lambda $ per unit-length then the value of $I$ is :
($g=$ $gravitational$ $acceleration$ )

$2\sqrt {{{\pi gL} \over {{\mu _0}}}\tan \theta } $

$\sqrt {{{\pi \lambda gL} \over {{\mu _0}}}\tan \theta } $

$\sin \theta \sqrt {{{\pi \lambda gL} \over {{\mu _0}\,\cos \theta }}} $

$2\sin \theta \sqrt {{{\pi \lambda gL} \over {{\mu _0}\,\cos \theta }}} $

Solution

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