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 values of I is: (g = gravitational acceleration)

Options

A. `sinthetasqrt((pilambdagL)/(mu_(0)cos theta))`
B. `2sinthetasqrt((pilambdagL)/(mu_(0)cos theta))`
C. `2sqrt((pigL)/(mu_(0))tan theta`
D. `sqrt((pilambdagL)/(mu_(0))tan theta`

Answer

2

Explanation

`lambdalgsintheta=(mu_(0)I^(2))/(2pi(2L sin theta))lcos theta`
`2sinthetasqrt((lambdagmL)/(mu_(0)cos theta))=I`