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A cell of emf E and internal resistance r is connected across an external resistance R. Plot a graph showing the variation of P.D. across R, versus R.

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I=\frac{E}{R+r} \ \ and \ \ V=IR

V=\frac{ER}{R+r}=\frac{E}{1+\frac{1}{r}}

An increase in R leads to an increase in V, till the point it approaches E

Following is the graphical representation:

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