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_(0)I)/(2R)`B. zeroC. `(sqrt2-1) (mu_(0)I)/(2R)`D. `(sqrt3-sqrt2) (mu_(0)I)/(2R)`

Three rings, each having equal radius R, are placed mutually perpendic

1.	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_(0)I)/(2R)`B. zeroC. `(sqrt2-1) (mu_(0)I)/(2R)`D. `(sqrt3-sqrt2) (mu_(0)I)/(2R)`
Answer» Correct Answer - A `oversetrarrB=B_(x) hati + B_(y) hatj + B_(z) hatk` `B =sqrt(B_(x)^(2) + B_(y)^(2) + B_(z)^(2))` `"since" B_(x) = B_(y) = B_(z) so B= sqrt3 B_(0)` `B = sqrt3 . (mu_(0))/(4pi) (2piI)/R = sqrt3 (mu_(0)I)/(2R)` .

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