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NEET 1990 (AIPMT) · Cells: EMF, Internal Resistance & Combinations

Cells: EMF, Internal Resistance & Combinations question from NEET 1990 (AIPMT)

Q55NEET 1990 · AIPMTMedium

Cells: EMF, Internal Resistance & Combinations

Two identical batteries each of e.m.f 2 V2\text{ V} and internal resistance 1 Ω1\ \Omega are available to produce heat in an external resistance by passing a current through it. The maximum power that can be developed across RR using these batteries is

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Answer: (b)

  1. Maximum power in RR occurs when R=reqR = r_{eq}: Pmax=Eeq24reqP_{max} = \dfrac{E_{eq}^2}{4r_{eq}}.
  2. Series: Eeq=4 VE_{eq} = 4\text{ V}, req=2 Ωr_{eq} = 2\ \Omega, Pmax=168=2 WP_{max} = \dfrac{16}{8} = 2\text{ W}.
  3. Parallel: Eeq=2 VE_{eq} = 2\text{ V}, req=0.5 Ωr_{eq} = 0.5\ \Omega, Pmax=42=2 WP_{max} = \dfrac{4}{2} = 2\text{ W}.
  4. So the answer is (b) 2.0 W.
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