A 20 cm long metallic rod is rotated with 210 rpm about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field 0 . 2 T parallel to the axis exists everywhere. The emf developed between the centre and the ring is _________ mV . (Take π = 22 7 )

Question

A 20 cm long metallic rod is rotated with 210 rpm about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field 0 . 2 T parallel to the axis exists everywhere. The emf developed between the centre and the ring is _________ mV . (Take π = 22 7 ),

MARKS App · Accepted Answer

The data given is ω = 210 × 2 π 60 rad s - 1 = 7 π rad s - 1 l = 0 . 2 m B = 0 . 2 T The emf is given by ε = B ω l 2 2 = 0 . 2 × 7 π × 0 . 2 2 2 = 88 mV

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