A metal rod with mass M2 is sliding to the right with velocity v over two zero-r

Question

A metal rod with mass M2 is sliding to the right with velocity v over two zero-resistance rails separated by the distance L. The rails are connected by a resistor R. External magnetic field is directed perpendicular to the plane of Figure (as shown). Calculate the current in this circuit. Calculate emf. Will the current magnitude or direction change if v changes direction? Explain Which external force F is needed to keep the constant velocity? Calculate the power dissipation in the resistor R. What is the mechanical power due to external force F ?

Explanation / Answer

Emf induced=B*V*l

Current i=BVl/R

Yes current direction changes if rod changes it's direction

F=B*i*l is needed to keep it in constant velocity

power dissipation=E^2/R=(BVl)^2/R

mechanical power=F*V

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