Rate at which energy is delivered

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The discussion revolves around calculating the rate at which energy is delivered to a resistor in a system involving a conducting rod moving through a magnetic field. The key point is that the rate of energy delivery is equivalent to power. Participants clarify that the mechanical power of the system, derived from the force and velocity, aligns with the power delivered to the resistor. Understanding that power is the time derivative of energy is crucial for solving the problem. The conversation emphasizes the relationship between mechanical power and electrical power in this context.
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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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