The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below –

I(amperes)	0.5	1.0	2.0	3.0	4.0
V(volts)	1.6	3.4	6.7	10.2	13.2

Plot a graph between V and I and calculate the resistance of that resistor."

Given:

The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below –

$I(amperes)$	0.5	1.0	2.0	3.0	4.0
$V(volts)$	1.6	3.4	6.7	10.2	13.2

To do:

To plot a graph between V and I and calculate the resistance of that resistor.

Solution:

The graph between $V$ and $I$

On plotting the value of $V$ and $I$ on the graph, we obtain a slope as shown in the graph below:

Resistance of that resistor

Resistance $R=\frac{1}{slope}$

Slope $=\frac{V_2-V_1}{I_2-I_1}$

$=\frac{1-0.5}{3.4-1.6}$

$=\frac{0.5}{1.8}$

$=0.278$

Therefore, resistance $R=\frac{1}{0.278}=3.6\ \Omega$