#### 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.

#### 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 | 1.0 | 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 = 1/*R *= BC/AC = 2/6.8

*R*= 6.8/2 = 3.4 Ω

Therefore, the resistance of the resistor is 3.4 Ω.

Is there an error in this question or solution?

Solution Plot a Graph Between V and I and Calculate the Resistance of that Resistor. Concept: Electric Potential Difference.