Question

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.

Answer 1

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 \(3.4\  Ω\).