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Three rings, each having equal radius R,...

Three rings, each having equal radius R, are placed mutually perpendicular to each other and each having its centre at the origin of coordinate system. If current I is flowing through each ring, then the magnitude of the magnetic field at the common centre is

A

`sqrt3(mu_0I)/(2R)`

B

zero

C

`(sqrt2-1) (mu_0I)/(2R)`

D

`(sqrt3-sqrt2) (mu_0I)/(2R)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) `vecB=(mu_0I)/(2R)(+-hati)+(mu_0I)/(2R)(+-hatj)+(mu_0I)/(2R)(+-hatk)`
`|vecB|=(mu_0I)/(2R)(sqrt3)`
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