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Helical Motion

A1.0 m long m...

Question

A1.0 m long metallic rod is rotated with an angular frequency of 400rad s⁻¹aboutan axis normal to the rod passing through its one end. The other endof the rod is in contact with a circular metallic ring. A constantand uniform magnetic field of 0.5 T parallel to the axis existseverywhere. Calculate the emf developed between the centre and thering.

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Solution

Lengthof the rod, l = 1 m
Angularfrequency,ω = 400rad/s
Magneticfield strength, B = 0.5 T
One endof the rod has zero linear velocity, while the other end has a linearvelocity of lω.
Averagelinear velocity of the rod,
Emfdeveloped between the centre and the ring,
Hence,the emf developed between the centre and the ring is 100 V.

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