Resistors R1 and R2 are connected in series to the current source, with R1> R2.

Resistors R1 and R2 are connected in series to the current source, with R1> R2. Compare the powers P1 and P2 consumed by these resistors.

With a series connection, the current in all sections of the circuit is the same. We write the expression of power in terms of current and resistance
P1 = I² * R1;
P2 = I² * R2.

Let us express the resistance through these formulas
R1 = P1 / I²;
R2 = P2 / I².

Let’s compose the expression of the relationship of resistance
R1> R2;
P1 / I²> P2 / I².

The current is reduced, remains
P1> P2.

Answer: P1> P2.



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