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Three rings, each having radius R, are p...

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

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B due to the ring lying in XY - plane is : `(mu_0I)/(2R)` along Z-axis. B due to the ring lying in YZ - plane is `(mu_0I)/(2R)` along X - axis, and B due to the ring lying in XZ - plane is `(mu_0I)/(2R)` along Y - axis.
`therefore B_("net") = sqrt(3) (mu_0 I)/(2R)`
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