Two heaters A and B have power rating of 1 kW and 2 kW, respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is:
- 1:1
- 2:9
- 1:2
- 2:3
Answer
(2) 2:9
Solution
For a fixed supply voltage V: R = V2P, so RA = V21 and RB = V22 (in kW units).
Series: 1Ps = 1PA + 1PB = 11 + 12 = 32
Ps = 23 kW
Parallel: Pp = PA + PB = 1 + 2 = 3 kW
PsPp = 2/33 = 29
Answer: (2)