4. The figure below shows a conducting rod of mass m that is laid on top of a pa

Question

4. The figure below shows a conducting rod of mass m that is laid on top of a pari of parallel, frictionless metal rails separated by a distance d One end of the rails is connected by a resistor of resistance R. The bar is pulled so that is has a coustaat velocity v. A magmetic field B is perpendicular to the rails. a. What is the current in the conducting rod? What is the power dissipated by the resistor? c. The apparatus is now tilted le 6 so that the bar can travel at the saane coestaat at speed, v, without a pulliag foroe The magaetic field is still to the plane of the rails. What does need to be ia order for the rod to reaaala uoviag at v? Start by drawing a free body diagram of the rod.

Explanation / Answer

We know that the Voltage drop (EMF) created is given as

V = B dA/dt = Bvl

Hence the current will be

I = Bvl/R

The power discipated will be

Power = VI = (Bvl)^2/R

Now when the slide is tilted the component of the velocity perpendicular to the magnetic field is to be considered.

E = Bvl cos (theta)

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