Two resistors, R 1 and R 2 , with R 2 < R 1 , are connected to a battery in seve

Question

Two resistors, R1 andR2, with R2 <R1, are connected to a battery in several ways.Rank these four circuits in order of increasing powerconsumed.
(a) Both resistors connected in parallel to the battery. (b) Both resistors connected in series to thebattery. (c) Only R1 connected to thebattery. (d) Only R2 connected to thebattery. I thought it was d, c, b, a; but I wasn't sure about thelast two. Are b and a tied? Or does b consume more than a? Cansomeone explain the correct answer please? Will rate lifesaver!Thanks! Two resistors, R1 andR2, with R2 <R1, are connected to a battery in several ways.Rank these four circuits in order of increasing powerconsumed.
(a) Both resistors connected in parallel to the battery. (b) Both resistors connected in series to thebattery. (c) Only R1 connected to thebattery. (d) Only R2 connected to thebattery. I thought it was d, c, b, a; but I wasn't sure about thelast two. Are b and a tied? Or does b consume more than a? Cansomeone explain the correct answer please? Will rate lifesaver!Thanks!

Explanation / Answer

let R1=10 R2=5 V=10
(a)in parallel (voltage is the same across bothresistors) Req = 3.33 Power = V2/R = 30W
(b)in series (current is constant) Req = 15 I = V/R = .66 Power = I2R = 6.667W
(c) just R1 I = 1 I2R Power = 10W
(d) just R2 I = 2 I2R Power = 20W
so the correct ranking is b,c,d,a

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