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A rod PQ of length l is rotating about e...

A rod `PQ` of length `l` is rotating about end `P`, with an angular velocity `omega`. Due to electrifugal forceed the free electrons in the rod move toward the end `Q` and an emf is created. Find the induced emf.

Text Solution

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The accumulation of free electrons will create an electric field which will finally balance the centrifugal forces and a steady state will be reached. In the steady state,`m_(e)omega^(2)x = eE`.
`V_(P) - V_(Q) = int_(x = 0)^(x = l)vec(E). vec(dx) = int_(0)^(l)(m_(e)omega^(2)x)/(e)dx = (m_(e)omega^(2)l^(2))/(2e)`
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