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Question: Answered & Verified by Expert
A potential difference across the terminals of a battery is $50 \mathrm{~V}$ when 11 A current is drawn and $60 \mathrm{~V}$,when 1 Acurrent is drawn. The emf and the internal resistance of the battery are
PhysicsCurrent ElectricityVITEEEVITEEE 2014
Options:
  • A $62 \mathrm{~V}, 2 \Omega$
  • B $63 \mathrm{~V}, 1 \Omega$
  • C $61 \mathrm{~V}, 1 \Omega$
  • D $64 \mathrm{~V}, 2 \Omega$
Solution:
2988 Upvotes Verified Answer
The correct answer is: $61 \mathrm{~V}, 1 \Omega$
For a closed circuit cell supplies a constant current in the circuit.


For cell $\mathrm{E}=\mathrm{V}+\mathrm{Ir}$
For $\mathrm{V}=50 \mathrm{~V}$
$E=50+11 r$
Similarly, for $\mathrm{V}=60 \mathrm{~V}$
$E=60+r$
From eqs. (i) and (ii), we get $E=61 \mathrm{~V}$

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