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 gigure , With threads making an angle ` theta` with the vertical . If wires have mass ` lambda` per unit length then the value of `I` is :

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`