Why is it that the higher the rated power, the smaller the resistance of the consumers with the same rated voltage and different rated power in the series circuit, On the contrary, the smaller the rated power is, the greater the resistance is? What about parallel circuits?

Why is it that the higher the rated power, the smaller the resistance of the consumers with the same rated voltage and different rated power in the series circuit, On the contrary, the smaller the rated power is, the greater the resistance is? What about parallel circuits?

In the series circuit, the current is the same, P = u ^ 2 / R. from this formula, we can see the inverse relationship between power and resistance
Parallel: same voltage, P = I ^ 2 * r, proportional