Two students perform the experiments on series and parallel combinations of two given resistors R1 and R2 and plot the given V -I graphs- Which of the graphs is are correctly labeled in terms of the word -series- and -parallel- Justify your answer-

According to Ohm's law, nbsp;V =IR nbsp; It can be written as, nbsp;VI=R nbsp;or nbsp;IV=1R nbsp;(Where 'R' is a constant and is known as the resis ...

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Byju's Answer

Standard X

Physics

Ohmic and Non Ohmic Resistors

Two students ...

Question

Two students perform the experiments on series and parallel combinations of two given resistors R₁ and R₂ and plot the given V-I graphs.
Which of the graphs is (are) correctly labeled in terms of the word 'series' and 'parallel'? Justify your answer.

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Solution

According to Ohm's law, V =IR

It can be written as, $\frac{V}{I} = R$ or $\frac{I}{V} = \frac{1}{R}$ (Where 'R' is a constant and is known as the resistance of the circuit)

Now, if we draw a graph between voltage and current then the slope of the graph would be the resistance of the circuit if we put current on the x-axis and it would be reciprocal of the resistance if we put voltage on the x-axis.

In the first graph, the slope is given by the resistance 'R' of the circuit. As we know, the net resistance of the series combination is more than the net resistance in parallel combination. So, the slope for series combination would be more than the slope for parallel combination. Thus, the first graph is correct.

In the second graph, the slope is given by the reciprocal of the resistance 'R'. As we know, the net resistance of the series combination is more than the net resistance in parallel combination. So, the slope for the series combination would be less than the slope for the parallel combination. Thus, the second graph is correct too.

Hence, both graphs are correctly labelled.

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Two students perform the experiments on series and parallel combinations of two given resistors R1 and R2 and plot the given V-I graphs. Which of the graphs is (are) correctly labeled in terms of the word 'series' and 'parallel'? Justify your answer.

Two students perform the experiments on series and parallel combinations of two given resistors R₁ and R₂ and plot the given V-I graphs.
Which of the graphs is (are) correctly labeled in terms of the word 'series' and 'parallel'? Justify your answer.