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A battery of emf $E$ has an internal resistance r. A variable resistance $R$ is connected to the terminals of the battery. A current $i$ is drawn from the battery. $V$ is the terminal potential difference. If $R$ alone is gradually reduced to zero, which of the following best describes $i$ and $V$ ?
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$i$ approaches $\frac{E}{r}, V$ approaches zero
Current, $\mathrm{i}=\frac{\mathrm{E}}{\mathrm{R}+\mathrm{r}}$ when $\mathrm{R}$ decreases to $0, \mathrm{i}=\frac{\mathrm{E}}{\mathrm{r}}$
Similarly, potential difference $V=i R$ when $R$ decreases to $0, \mathrm{~V}=0$
Similarly, potential difference $V=i R$ when $R$ decreases to $0, \mathrm{~V}=0$
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