A metal wire of mass m slides without friction on two horizontal rails spaced 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 any variable or symbol stated above along with the following as necessary: B for the magnitude of . All quantities are in SI units. Enter the sign of the expression, taking right to be positive.) v = 3.34e-2

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        

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---