A conducting wire of length l, lying normal to a magnetic field B, moves with a velocity v as shown in (a) Find the average magnetic fore on a free electron of the wire. Due to this magnetic force, electrons concentrate at one end resulting in an electric field inside the wire. The redistribution stops when the electric force on the free electrons balances themagnetic force. Find the electric field developed inside the wire when the redistribution field developed inside the wire when the redistribution stops. (c) what potential difference is developed between the ends of the wire?

Explanation

(a) Volocity of electron = V,
`Force = q(Vxx B) = qVB `
` (b) F= qE, F= qVB `
or ` qE = qVB ,`
`or aE = eVB or F= VB `
` ( c ) V = lE = LVB `.