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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 θ with the vertical. If wires have mass λ per unit length then the value of I is
(g = gravitational acceleration)

A
2πgLμotan θ
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B
πλgLμotanθ
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C
sin θπλgLμo cos θ
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D
2 sin θπ λgLμo cos θ
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Solution

The correct option is D 2 sin θπ λgLμo cos θ

Forces per unit length are considered
From figure, we get
tan θ=μoi22πdλ.g
i2=λ.g.sin θμo.cos θ(2π)d [d=2L sin θ]

i=2 sin θλgπLμocos θ

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