1.

Current through ABC A'B'C' is I. What is the magnetic field at P? BP= PB' = r (Here C'B' PBC are collinear)

Answer»

`B= (1)/(4pi) (2I)/(r )`
`B= (mu_(0))/(4pi) ((2I)/(r ))`
`B= (mu_(0))/(4pi) ((I)/(r ))`
zero

Solution :The magnetic field at point P DUE to current I in AB is
`B_(AB) = (mu_(0))/(4pi) (I)/(r ) Ox`
The magnetic field at point P due to current I in BC is
`B_(BC)=0` (As the point P is along the BC). The magnetic field at point P due to current I in A.B. is
`B_(A.B.)=(mu_(0))/(4pi) (I)/(r ) ox`
The magnetic field at point P due to current I in B.C. is
`B_(B.C.)= 0` (as the point P is along the BC)

`:.` The net magnetic FIELDAT P is
`B= B_(AB) + B_(BC) + B_(A.B.) + B_(B.C.)`
`=(mu_(0)I)/(4pi r) +0 + (mu_(0)I)/(4pi r) + 0= 2 ((mu_(0)I)/(4pi r))= (mu_(0))/(4pi) ((2I)/(r ))`


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