Professor, I am quite certain that all currents must go through the CSR which is in series with the battery in order to capture all that is either leaving or entering the battery. That is why your transistor emitter must be tied to the circuit ground as shown. The addition or subtraction of the power in the CSR is not so easy to see. The voltage drop across that resistor is actually reversed from what you might think. It caught me too, and Humbugger thankfully corrected me on that. So actually we are subtracting the two powers, but it so happens that one of them is a "negative" power so to speak. You can think of the battery CSR as an internal resistance in the battery. In such a case, this resistance is part of the total power dissipation in the battery. It is the same case here. Perhaps someone else can explain it better, I am quite properly burnt out at the moment. If you are still in much doubt professor, I can show you with a simulation where it is quite clear. .99
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"Some scientists claim that hydrogen, because it is so plentiful, is the basic building block of the universe. I dispute that. I say there is more stupidity than hydrogen, and that is the basic building block of the universe." Frank Zappa
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