A metal wire of mass m slides without friction on two horizontal rails spaced a
ID: 1763369 • Letter: A
Question
A metal wire of mass m slides without friction on two horizontal rails spaced a distance d apart, as in the figure below. The track lies in a vertical uniform magnetic field . Generator G produces a constant current i in the wire and the rails (even as the wire moves). Find the velocity of the wire's motion as a function of time, assuming it to be stationary at t = 0. (Use m, d, B, i and t as necessary, where all quantities are in SI units. Enter the sign of the expression, taking right to be positive.) v =Explanation / Answer
Given that themass of conductor is m currentis i Magnitude of magnetic field is B Lengthof conductor is d -------------------------------------------------------------------------
The force on the conductor is F = BiL Then the acceleration is a = F / m a =BiL / m dv / dt = BiL / m dv =( BiL / m ) dt integrating bothsides then v= ( BiL ) t / m