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# 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."

**Given:**

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 |

**To do:**

To plot a graph between V and I and calculate the resistance of that resistor.

**Solution:**

__The graph between $V$ and $I$__

On plotting the value of $V$ and $I$ on the graph, we obtain a slope as shown in the graph below:

__Resistance of that resistor__

Resistance $R=\frac{1}{slope}$

Slope $=\frac{V_2-V_1}{I_2-I_1}$

$=\frac{1-0.5}{3.4-1.6}$

$=\frac{0.5}{1.8}$

$=0.278$

Therefore, resistance $R=\frac{1}{0.278}=3.6\ \Omega$

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