A metallic rod of $1 \,m$ length is rotated with a frequency of $50$ revolution per second, with one end hinged at the centre and the other end at the circumference of a circular metallic ring of radius $1\, m$ about an axis passing through the centre and perpendicular to the plane of the ring. $A $ constant uniform magnetic field of $1 \,T$ parallel to the axis is present everywhere. The emf between the centre and the metallic ring is
Updated On: Jul 2, 2022
$157\,V$
$117\,V$
$127\,V$
$137\,V$
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The Correct Option isA
Solution and Explanation
Formula for $E$ is
$E =\frac{1}{2} B \omega l ^{2} $$=\frac{1}{2} \times 2 \pi \times 50 \times 1 \times 1 \times 2$$=50 \pi $$=157 \,V$
Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-
When we place the conductor in a changing magnetic field.
When the conductor constantly moves in a stationary field.
