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CBSE Class 12-science Answered

A rod of iron and length 1 m fixed at one end is rotating with angular velocity 200 rad/s about the fixed end in a magnetic field of 0.2 T. Find the induced emf between the centre and far end of the road.

Asked by arjunsah797 | 20 Mar, 2022, 11:16: AM
Expert Answer
EMF E developed across the end of rod of length L , if it moves with velocity v in magnetic field flux density B is given as
 
E = ( v B L )
 
In the given case , rod of length L is rotated in magnetic field .
 
Hence EMF developed across the rod is given as
 
begin mathsize 14px style E space equals space integral subscript 0 superscript L v left parenthesis r right parenthesis space B space d r space equals space space integral subscript 0 superscript L B space omega space r space d r space equals 1 half B space omega space L squared end style
where ω is angular speed of rotation

E = 0.5 × 0.2 × 200 × 1 × 1 = 20 V
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