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Obtain an expression for the emf induced...

Obtain an expression for the emf induced across a conductor which is moved in a uniform magnetic field which is perpendicular to the plane of motion.

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Consider a conductor PQ of length I moving freely in a uniform magnetic field `vecB` with uniform velocity `upsilon` on a rectangular conductor ABCD. Let any arbitrary charge q in the conductor also move in the field with same velocity.
Magnitude of Lorentz force on
this charge (F) `=Bqupsilon....(1)`
Workdone in moving the charge from P to Q is given by
`W= "Force"xx "displacement"`
`W= Bqupsilon xx l –(2) (therefore" Direction of force on the charge as per Fleming's left hand rule")`
Electromotive force `(epsi) = (W)/(q)`
`epsi=(Bqupsilonl)/(q) Rightarrow epsi=Blupsilon -(3)`
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