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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

Text Solution

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Each ring will produce its magnetic field along its axis. So, the three magnetic field intensities at the common centre due to the rings will be mutually perpendicular. The magnitude of magnetic field intensity at the centre of a circular loop is given by
` B = (mu_(0)i)/(2R)`
Hence, the magnitude of resultant magnetic field at the centre will be `B sqrt3 = (mu_(0)i)/(2R) sqrt3`
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Knowledge Check

  • Two rings of same mass and radius R are placed with their planes perpendicular to each other and centre at a common point. The radius of gyration of the system about an axis passing through the centre and perpendicular to the plane of one ring is

    A
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    B
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    C
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