1.

A current loop consists of two identical semicircular parts each of radius R, one lying in the x-y plane and the other in x-y plane. If the current in the loop is i, the resultant magnetic field due to two semicircular parts at their common centre isA. `(mu_(0)i)/(2sqrt(2)R)`B. `(mu_(0)i)/(2R)`C. `(mu_(0)i)/(4R)`D. `(mu_(0)i)/(sqrt(2)R)`

Answer» Correct Answer - A
Due to semi-circular loop in `x-y` plane
`B_(1)=(mu_(0)i)/(4R)` along `Z`-axis.
Due semi-circular loop in `x-z` plane
`B_(2)=(mu_(0)i)/(4R)` along `Y`-axis
`B_(1)` is `bot^(ar)` to `B_(2)`
`B_(R)=sqrt(B_(1)^(2)+B_(2)^(2))=sqrt(2). (mu_(0)i)/(4R)=(mu_(0)i)/(2sqrt(2)R)`


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