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.
| I (amperes) | 0.5 | 1.0 | 2.0 | 3.0 | 4.0 |
| V (volts) | 1.6 | 3.4 | 6.7 | 10.2 | 13.2 |
Solution and Explanation
The plot between voltage and current is called IV characteristic. The voltage is plotted on x-axis and current is plotted on y-axis. The values of the current for different values of the voltage are shown in the given table.
| V (volts) | 1.6 | 3.4 | 6.7 | 10.2 | 13.2 |
| I (amperes) | 0.5 | 1.0 | 2.0 | 3.0 | 4.0 |
The IV characteristic of the given resistor is plotted in the following figure.
The slope of the line gives the value of resistance (R) as,
Slope = \(\frac 1R \)
Slope = \(\frac {BC}{AC}\)
Slope = \(\frac {2}{6.8}\)
\(R=\frac {6.8}{2}\)
\(R = 3.4 \ Ω\)
Therefore, the resistance of the resistor is \(3.4\ Ω\).
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Concepts Used:
Electric Current
Defining Electric Current
It is the rate of flow of electrons in a conductor. SI Unit - Ampere (A).
Electrons are negatively charged particles hence when they move a number of charges moves.
Note:- The ability of a particular substance to conduct electricity depends on the number of electrons that are able to move . Some of the materials allow current to flow better than others.
What is an Electromotive Force?
If a force acts on electrons to make them move in a particular direction, then up to some extent random motion of the electrons will be eliminated. An overall movement in one direction. The force which acts on the electrons to move them in a certain direction is known as electromotive force and its quantity is known as voltage and is measured in V.