Consider a straight metallic rod PQ of length ‘l’ placed in a uniform M.F. \(\vec B\). The rod is moved with a velocity \(\vec v\) is a direction ⊥r to \(\vec B\).
Let the rod moved through a distance ‘x’ in time ‘t’ them the area covered by the rod is A = 1x. The magnetic flux linked with the rod is
Φ = B.A Φ = B1x
∴ The included emf in the rod is
Motional emf (e – Blv)
∴ v = \(\frac{dx}{dt}\)
