Two concentric circular coils A and B have radii 25 cm and 15 cm and carry currents 10 ampere and 15 ampere respectively. A has 24 turns and B has 18 turns .The direction of current are in opposite order. The magnitic induction at the common centre of the coil is??
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Answer:
formula = B at the centre of a circular current carrying loop is (N uo I)/ 2r
where uo is permeability of free space.
Explanation:
B(a) = (24 x uo x 10)/ 2 x 0.25
= uo x 12 x 40
= uo x 480 T
B(b) = ( 18 x uo x 15)/ 2 x 0.15
= uo x 9 x 100
= uo x 900 T
Due to opposite direction of current,
the net B at the centre is B(b) - B(a)
=uo x 420
= 4π x 10 ^-7 x 420T
,
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