The y-intercept of the graph between the terminal voltage \(V\) with load resistance \(R\) along \(y\) and \(x\) – axis, respectively, of a cell with internal resistance \(r\), as shown, is:
The y-intercept of the graph between the terminal voltage \(V\) with load resistance \(R\) along \(y\) and \(x\) – axis, respectively, of a cell with internal resistance \(r\), as shown, is:
Show Hint
- \(\varepsilon\)
- \(-\varepsilon\)
- \(\frac{\varepsilon}{R}\)
- \(\varepsilon R\)
- \(-\varepsilon R\)
The Correct Option is A
Solution and Explanation
The terminal voltage \(V\) of a cell can be expressed by the equation: \[ V = \varepsilon - Ir \] where \(I\) is the current through the cell. When \(R \rightarrow \infty\) (open circuit condition), \(I = 0\), and thus \(V = \varepsilon\).
Therefore, the y-intercept of the graph is the emf of the cell, \(\varepsilon\).
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