A cell of emf \(\varepsilon\) and internal resistance \(r\) is connected across a variable load resistance…

A cell of emf \(\varepsilon\) and internal resistance \(r\) is connected across a variable load resistance \(R\). The graph drawn between its terminal voltage and resistance \(R\) is




Solution

According to the question, circuit diagram of a cell is given below,
As, \(I r=E-V \Rightarrow \frac{V}{R} r=E-V\) \(\Rightarrow V\left[1+\frac{r}{R}\right]=E \Rightarrow V=\frac{E}{R+r} \cdot R\) General equation of a straight line passing through the origin, \(y=m x\) Here, \(y=V, m=\frac{E}{R+r}=\) slope of the line and \(\quad x=R\) As this line is passing through the origin and has a slope which reduces as \(R\) increases. Hence, the graph is

Asked in: AP EAMCET 2019 (23 Apr Shift 1)

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