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Question

# Three rings, each having equal 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

A
3μ0I2R
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B
zero
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C
(21)μ0I2R
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D
(32)μ0I2R
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Solution

## The correct option is A √3μ0I2RMagnetic field at centre of the ring μ0I2R As the three rings are mutually perpendicular, the magnetic field due to each one of them will be mutually perpendicular. Bnet=μ0I2R(±^i±^j±^k) ⇒|Bnet|=√3μ0I2R

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