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Question

In the figure there are two identical conducting rods each of length a rotating with angular speed ω in the directions shown. One end of each rod touches a conducting ring. Magnetic field B exists perpendicular to the plane of the rings. The rods, the conducting rings and the lead wires are resistanceless. Find the magnitude and direction of current in the resistance R.
774616_63824b47ecec45e686f5a94767ce044e.png

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Solution

emf induced in each loop is |e|
e=12ωBa
Total emf in the circuit is,
2e=ωBa
Current i=2eR=ωBaR direction shown in fig


949642_774616_ans_be5328e5dbb141e788cf4c717273bf22.png

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