The speed of the bar is ε B d ( 1 − e − B 2 d 2 t m R ) .

Question

A bar of mass m and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure P30.49. The rails are separated by a distance d. A battery that maintains a constant emf E is connected between the rails, and a constant magnetic field B is directed perpendicularly out of the page. Assuming the bar starts from rest attime t = 0, show that at time t it moves with a speed.

Answer 1

Question

Chapter 30, Problem 49CP

To determine

To show: The speed of the bar is εBd(1−e−B2d2tmR) .

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A bar of mass m and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure P30.49. The rails are separated by a distance d. A battery that maintains a constant emf E is connected between the rails, and a constant magnetic field B is directed perpendicularly out of the page. Assuming the bar starts from rest attime t = 0, show that at time t it moves with a speed.

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