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 $R=\frac{1}{0.278}=3.6\ \Omega$
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