A basic electrical question, but i can't work it out.

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To find the power dissipation in a resistor connected in parallel with a DC battery and a constant current source, consider both current components: one from the voltage source (I = V/R) and the other from the current source. The total current through the resistor is the sum of these components. In practical scenarios, account for the internal resistance of the battery and the resistance of the current source. Millman's Theorem can simplify the calculations for circuits with multiple sources. Understanding these principles is essential for accurate power dissipation analysis.
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Say i have a DC battery, in parallel with a constant current source, and a resistor in parallel too.

I want to find the power dissipation in the resistor.

Do i consider that there are 2 current components superimposed, one from the voltage source
(I = v/r) and one from the current source, and then use I^2 *R?

Thanks.
 
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if everything is in parallel, no matter what you put, the voltage in the parallel is given by the voltage of the dc battery so the current in the resistor is V/R.
In real word however, each battery has an internal resistor in series and a current generator has a resistor in parallel, so you should consider it.
In this case you can use the Millman´s Theorem, very easy.
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