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The figure shows the top view of a conducting rod AB bent to form a semicircle of radius R, carrying current I, placed on a smooth horizontal table. It is subjected to uniform magnetic field B perpendicular to its plane as shown. The rod is held at rest in it position by two light strings attached to its ends. Calculate the tension in the strings.

Text Solution

Verified by Experts

Tension in the strings balances the magnetic force acting on the rod AB.
Magnetic force on AB is `Bixx` (effective length )`=Bi 2R`
Thus `2T=Bi2R`
`T=BiR`
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AAKASH INSTITUTE-MOVING CHARGE AND MAGNESIUM-SECTION D
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