Duration: 7:16

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Two long current carrying thin wires, both with current \( \mathrm{I} \), are held by insulating threads of length \( \mathrm{L} \) 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)
(A) \( \sqrt[2]{\frac{\pi g L}{\mu_{0}} \tan \theta} \)
(B) \( \sqrt{\frac{\pi \lambda \mathrm{gL}}{\mu_{0}} \tan \theta} \)
(C) \( \sin \theta \sqrt{\frac{\pi \lambda g L}{\mu_{0} \cos \theta}} \)
(D) \( 2 \sin \theta \sqrt{\frac{\pi \lambda g L}{\mu_{0} \cos \theta}} \)
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