Question

The scalar magnetic potential, Vm , due to a current loop can be obtained by first dividing the loop area into many small loops and then summing up the contribution of these small loops (magnetic dipoles); that is dm aR VIVE 4TR2 where dm anlds = Prove that I m 4Tt where Q is the solid angle subtended by the loop surface at the field point P (see Figure) Figure: Subdivided current loop for determination of scalar magnetic potential

Answer 1

dnT. ds where, h unit normel vec tr to the sur face ds Vm-dn. AR2 S Vm Ids.3 R 4AR2 ds Vm: I S R2 41 97 R2 Vm I dse where ds- ds. n R 2 AS, we knouw du ds.Je Hence, R2 Vm fdn I. 47 4A rodisl unit vectw in the dinction of R Whest, a