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Equivalent Resistance in Series Circuit

Two students ...

Question

Two students perform the experiments on series and parallel combination of two given resistors $R_{1}$ and $R_{2}$ and plot the following $V - I$ graphs. Which of the two diagrams correctly represents the label's 'series and parallel' on the plotted curves?
Justify your answer.

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Solution

The ohm's law is stated as:
$V = I R$ .
According to this, the slope of the V_I graph is the resistance. The greater the slope of the graph, greater will be its resistance.
Since we know that the equivalent resistance in series is greater than the resistance in parallel. So, the first graph is the correct representation of the V-I graph for series and parallel connection.

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