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 relationship between voltage and current, known as the IV characteristic, is displayed. Voltage is represented on the x-axis, and current on the y-axis. The provided table lists current values corresponding to various voltage values.

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 for the specified resistor is illustrated in the following figure.

The resistance (R) is determined by the slope of the line, calculated as:

Slope = \(\frac 1R \)

Slope = \(\frac {BC}{AC}\)

Slope  = \(\frac {2}{6.8}\)

\(R=\frac {6.8}{2}\)

\(R = 3.4 \ Ω\)

Consequently, the resistance of the resistor is \(3.4\  Ω\).