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The graphs between current (I) and voltage (V) for three linear resistors 1, 2 and 3 are given below: If R1, R2 and R3 are the resistances of these resistors, then which one of the following is correct?

The graphs between current (I) and voltage (V) for three linear resistors 1, 2 and 3 are given below: If R1, R2 and R3 are the resistances of these resistors, then which one of the following is correct? Correct Answer R<sub>1</sub> &lt; R<sub>3</sub> &lt; R<sub>2</sub>

CONCEPT:

  • Ohm’s law: At constant temperature, the potential difference across a current carrying wire is directly proportional to current flowing through it.
  • V = IR

Where V is the potential difference, R is resistance and I is current.

EXPLANATION:

We have graph between Current (I) and potential difference (V):

As V = IR

So I = V/R

The above relation of I and R is a straight line equation in which 1/R gives the slope of the line.

Slope of graph = 1/R

From the given graph in the question, as slope of graph 1 is maximum and then it is of graph 3 and slope of graph 2 is minimum.

∴ Slope of graph 1 > slope of graph 3 > slope of graph 2

So 1/R1 > 1/R3 > 1/R2

Hence R2 > R3 > R1

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