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-z plane. If the current in the loop is i . The resultant magnetic field due to the two semicircular parts at their common centre is

Step-by-step solution

The magnetic field at centre O for each semicircular parts each of radius R , B ₁= B ₂= ₀ i 4 R The magnetic field at their common centre aligned B & = B ₁+ B ₂ ~B & = B ₁^2+ B ₂^2 & = ( ₀ i 4 R )^2+ ( ₀ i 4 R )^2 ~B & = ₀ i 2 2 R aligned