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 s - Physics MCQ NEET (UG) 2024 2026 | ExamTest.live

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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:

Solution & Step-by-step Explanation

Let the voltage of the source be V .Resistance of Heater A: R_{A} = \frac{V ^{2}}{P _{A}} = \frac{V ^{2}}{1000} Resistance of Heater B: R_{B} = \frac{V ^{2}}{P _{B}} = \frac{V ^{2}}{2000} Series Connection: R_{e q} = R_{A} + R_{B} = V^{2} (\frac{1}{1000} + \frac{1}{2000}) = \frac{3 V ^{2}}{2000} Power in series P_{s} = \frac{V ^{2}}{R _{e q}} = \frac{2000}{3} W Parallel Connection: P_{p} = P_{A} + P_{B} = 1000 + 2000 = 3000 W Ratio: \frac{P _{s}}{P _{p}} = \frac{2000/3}{3000} = \frac{2}{3 \times 3} = \frac{2}{9}

Try it yourself before checking the explanation above.

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

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