A resistor R1 dissipates the power P when connected to a certain generator. If the resistor R2 is put in series with R1, the power dissipated by R1
Equivalent resistance in the second case = R1 + R2 = R
Now, we know that
Since in the second case the resistance (R1 + R2) is higher than that in the first case (R1), therefore power dissipation in the second case will be decreased.