The electronics supply company where you work has two different resistors, R₁ and R₂, in its inventory, and you must measure the values of their resistances. Unfortunately, stock is low, and all you have are R₁ and R₂ in parallel and in series and you can’t separate these two resistor combinations. You separately connect each resistor network to a battery with emf 48.0 V and negligible internal resistance and measure the power P supplied by the battery in both cases. For the series combination, P = 48.0 W; for the parallel combination, P = 256 W. You are told that R₁ > R₂.

(a) Calculate R₁ and R₂.

(b) For the series combination, which resistor consumes more power, or do they consume the same power? Explain.

(c) For the parallel combination, which resistor consumes more power, or do they consume the same power?