The Joule is also the unit of energy. Energy is a general term, of which work and heat are two examples. This work is required whether we climb the steps quickly or slowly. But it is harder to climb the stairs quickly. We say that it requires more power to climb quickly than it does to climb slowly.
Power is defined as the work done divided by the time it takes to do that work.
On the battery page, we discussed separating a redox reaction into two parts and requiring the electrons to do work as they pass through the wire on the way from the anode to the cathode. The power produced by a battery depends both on the voltage and on the charge. For every mole of zinc consumed in our battery we can produce 147 kJ of work. 110 V, the same voltage as house current. I R where Vi is the voltage drop across the wire, I is the current flowing through it, and R is the resistance.