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

Question

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 isNEET 2010 (Mains)

TestHub · Accepted Answer

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

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