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NEET 2024 · Electrical Power & Heating Effect

Electrical Power & Heating Effect question from NEET 2024

Q15NEET 2024Medium

Electrical Power & Heating Effect

Two heaters AA and BB have power rating of 1 kW1\text{ kW} and 2 kW2\text{ 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:

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Answer: (b)

  1. R=V2/PR = V^2/P: RA=2rR_A = 2r, RB=rR_B = r where r=V2/2000r = V^2/2000.
  2. Series: Ps=V23rP_s = \dfrac{V^2}{3r}. Parallel: Pp=V22r/3=3V22rP_p = \dfrac{V^2}{2r/3} = \dfrac{3V^2}{2r}.
  3. Ps:Pp=13:32=2:9P_s : P_p = \dfrac13 : \dfrac32 = 2 : 9.
  4. So the answer is (b) 2 : 9.
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