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- Homework Statement
- In a DC circuit, two resistors ##R_1## and ##R_2## are connected in parallel, and a third resistor ##R_3## is connected in series with them, as shown in the picture. If the maximum power that each of these 3 resistors can hold is ##P_{max}##, which would be the maximum voltage that could be applied between the points a and b?

- Relevant Equations
- Kirchhoff's laws: ##I_1+I_2=I_3##

The power dissipated by a resistor: ##P=I^2R=IV=V^2/R##

I see that ##V_{ac}=V_{ab}+V_{bc}##, with ##V_{ab}=I_1R_1=I_2R_2## and ##V_{bc}=I_3R_3##.

However, I don't see how to express mathematically the maximum value of ##V_{ac}##. Could someone please help me with this task?