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Mixed Combination of Cells

A 10Ω resis...

Question

A $10 Ω$ resistance is connected in series with a cell of emf $10 V$ . A voltmeter is connected in parallel to a cell, and it reads $9.9 V$ . Find the internal resistance of the cell.

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Solution

Given data:
$R = 10 Ω$ ; $E = 10 V$ ; $V = 9.9 V$ ; $r =$ ?
$r = (\frac{E - V}{V}) R$
$= (\frac{10 - 9.9}{9.9}) \times 10 = 0.101 Ω$

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