1.

Two concentric circular coils X and Y of radii 16 cm and 10 cm , respectively, lie in the same vertical plane conatining the north to south direction. Coil X has 20 turns and carries a current of 16 A, coil Y has 25 turns and carries a current of 18 A . The sense of the current inX is anticlockwise, and clockwise in Y, for an observe looking at the coils facing west. Give the magnitude and direction of the net magnetic field due to the coils at their centre.

Answer»

Solution :Field at centre, `B = (mu_0 nI)/(2R)`
`B_(1) = (4 pi xx 10^(-7) xx 20 xx 16)/(2 xx 16 xx 10^(-2)) = 9 pi xx 10^(-4)`
Net field `= (9pi- 4PI) xx 10^(-4) =5 pi 10^(-4)` T TOWARDS west


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