Rate at which energy is delivered

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SUMMARY

The discussion centers on calculating the rate at which energy is delivered to a resistor in a system involving a conducting rod moving through a magnetic field. The rod, subjected to a constant force of 2 N and moving at a velocity of 2 m/s, generates electrical power due to its motion in the magnetic field. The relationship between energy and power is confirmed, with power being the time derivative of energy. The mechanical power of the system is equivalent to the electrical power delivered to the resistor.

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Homework Statement



A conducting rod of length l moves on two horizontal, frictionless rails. If a constant force of 2 N moves the bar at 2 m/s through a magnetic field B that is directed perpendicular to the system. What is the rate at which energy is delivered to the resistor?

Homework Equations



I'm not sure perhaps (time derivative) Energy = Power?

The Attempt at a Solution



I know how to find the power for this problem, but am not really for sure about what the rate at which energy is delivered means. I am thinking that means power, but another subpart of the question asked me what the mechanical power of the system was and I figure that those two will be the same value.

Any help is appreciated.
 
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dpeagler said:
I'm not sure perhaps (time derivative) Energy = Power?
That's correct.
 

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