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Two connectric coils X and y of radii 16...

Two connectric coils `X` and `y` of radii `16 cm` and `10cm` lie in the same vertical plane containing `N-S` direction `X` has 20 turns and carries `16A .Y` has `25` truns & carries `18 A.X` has current in acnticlockwise direction and `Y` has current in clockwise direction for the observer, looking at the coils facing the west. The magnitude of net magnetic field at their common centre is .

A

`5pi xx 10^(-4)T` toward west

B

`13pi xx 10^(-4)T` toward west

C

`13pi xx 10^(-4)T` toward west

D

`5pi xx 10^(-4)T` toward west

Text Solution

Verified by Experts

The correct Answer is:
A

`B_(x) = (mu_(0))/(4pi) (2piN_(1)I_(1))/(R_(1))`
`B_(x0 = 4pi xx 10^(-4) (E)`
`By = (mu_(0))/(4pi) (2piN_(2)I_(2))/(R_(2)) = 9pi xx 10^(-4) (W)`
`B =5pi xx 10^(-4)` west
.
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