A very long current carrying wire is placed along `z-` axis having current of magnitude `i_(1)` towards negative `z-` axis. A semicircular wire of radius R and having current `i_(2)` is placed in `x-y` plane, such that line joining two end points of the semicircular wire passes through long wire as shown in figure. Nearest distance of semicircular wire from long wire is R. Net magnetic form on semicircular wire will be

Options

A. `(mu_(0)i_(1)i_(2))/(2pi)ln3`
B. `(mu_(0)i_(1)i_(2))/(2pi)ln.(3)/(2)`
C. zero
D. `(mu_(0)i_(1)i_(2))/(2pi)`

Answer

A

Explanation

`(mu_(0)I_(1)I_(2))/(2pi)int_(R)^(3R)(dx)/(x)=(muI_(1)I_(2))/(2pi)ln3`