# Plot a Graph Between V and I and Calculate the Resistance of that Resistor. - Science

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 2 3 4 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.

#### Solution

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 2 3 4

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 = 1/R = BC/AC = 2/6.8

R= 6.8/2 = 3.4 Ω

Therefore, the resistance of the resistor is 3.4 Ω.

Concept: Electric Potential (Electrostatic Potential) and Potential Difference
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#### APPEARS IN

NCERT Class 10 Science
Chapter 12 Electricity
Q 7 | Page 221