Hi Bill,
At the resistor, on the battery side the power coming in is 6v x 1.3a = 7.8watts.
We drop 4.8 volts acrossed the resistor which means we've converted 4.8v x 1.3a = 6.24watts converted to heat.
At the output of the resistor, the power remaining in the circuit is (6-4.8)v x 1.3a = 1.56watts
What's lost in the resistor is the voltage.
It's like a hydroelectric dam in the river. In the upper resevoir, we have a lot of potential work in the water. When we let the water run through the turbines, we extract energy from the water as it drops. Down stream, we still have the same amount of water moving downriver but we have used up the potential energy.
