# The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below â€“

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 $R=\frac{1}{0.278}=3.6\ \Omega$

- Related Articles
- The values of current (I) flowing through a given resistor of resistance (R), for the corresponding values of potential difference (V) across the resistor are as given below :V (Volts)0.51.01.52.02.53.04.05.0I (Amperes)0.10.20.30.40.50.60.81.0Plot a graph between current (I) and potential difference (V) and determine the resistance (R) of the resistor.
- In the experiment to study the dependence of current (I) on the potential difference (V) across a resistor, a student obtained a graph as shown.(i) What does the graph depict about the dependence of current on the potential difference?(ii) Find the current that flows through the resistor when the potential difference across it is 2·5 V."\n
- (a) What is the ratio of potential difference and current known as? (b) The values of potential difference $V$ applied across a resistor and the correponding values of current $I$ flowing in the resistor are given below: Potential difference, $V$ (in volts)Â :Â $\begin{array}{llllll}2.5 & 5.0 & 10.0 & 15.0 & 20.0 & 25.0\end{array}$Current, $I$ (in amperes)Â Â Â Â :Â $\begin{array}{llllll}0.1 & 0.2 & 0.40 & 0.60 & 0.80 & 1.0\end{array}$Plot a graph between $V$ and $I$, and calculate the resistance of the resistor.(c) Name the law which is illustrated by the above $V-I$ graph.(d) Write down the formula which states the relation between potential difference, current and resistance.(e) The potential difference between the terminals of an electric iron is $240 \mathrm{~V}$ and the current is $5.0 \mathrm{~A}$. What is the resistance of the electric iron?
- While studying the dependence of potential difference (V) across a resistor on the current (I) passing through it, in order to determine the resistance of the resistor, a student took 5 readings for different values of current and plotted a graph between V and I. He got a straight line graph passing through the origin. What does the straight line signify? Write the method of determining the resistance of the resistor using this graph.
- When a 12 V battery is connected across an unknown resistor, there is a current of 2.5 mA in the circuit. Find the value of the resistance of the resistor.
- The current flowing through a resistor connected in a circuit and the potential difference developed across its ends are as shown in the diagram by milliammeter and voltmeter readings respectively:(a) What are the least counts of these meters?(b) What is the resistance of the resistor?"\n
- Which one of the following is the correct set-up for studying the dependence of the current on the potential difference across a resistor and why?"\n
- A current of $200 \mathrm{~mA}$ flows through a $4 \mathrm{k} \Omega$ resistor. What is the p.d. across the resistor?
- The p.d. across a $3 \Omega$ resistor is $6 \mathrm{~V}$. The current flowing in the resistor will be:(a) $\frac{1}{2} \mathrm{~A}$(b) $1 \mathrm{~A}$(c) $2 \mathrm{~A}$(d) $6 \mathrm{~A}$
- (a) How will you infer with the help of an experiment that the same current flows through every part of a circuit containing three resistors in series connected to a battery?(b) Consider the given circuit and find the current flowing in the circuit and potential difference across the 15 Ω resistor when the circuit is closed."\n
- Derive the expression for the heat produced due to a current â€˜Iâ€™ flowing for a time interval â€˜tâ€™ through a resistor â€˜Râ€™ having a potential difference â€˜Vâ€™ across its ends. With which name is the relation known? How much heat will an instrument of 12 W produce in one minute if it is connected to a battery of 12 V?
- The circuit diagram given below shows the combination of three resistors \( R_{1}, R_{2} \) and \( R_{3} \) : Find: (i) total resistance of the circuit. (ii) total current flowing in the circuit. (iii) the potential difference across \( R_{1} \)."\n
- When a $4 \Omega$ resistor is connected across the terminals of a 12 V battery, the number of coulombs passing through the resistor per second is:(a) 0.3(b) 3(c) 4(d) 12
- What is the current flowing from N to K in the circuit given below?"\n
- (a) State the relation correlating the electric current flowing in a conductor and the voltage applied across it. Also, draw a graph to show this relationship.(b) Find the resistance of a conductor if the electric current flowing through it is 0.35 A when the potential difference across it is 1.4 V.

##### Kickstart Your Career

Get certified by completing the course

Get Started