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State Ohm's law and the V-I graph

This type of question, asked 4 times: 2022, 2023, 2024, 2026. All 7 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2022

    11
    (a) State Ohm’s Law. Represent it mathematically. (b) Define 1 ohm. (c) What is the resistance of a conductor through which a current of 0.5 A flows when a potential difference of 2 V is applied across its ends ?

  2. Question 2

    2023

    36
    (a) State Ohm’s Law. (b) Name and define the physical quantity determined by the slope of V – I curve given in the diagram. Use this graph to find the value of this physical quantity in SI units. (c) Establish the relationship between 1 kWh and 1 joule.

  3. Question 3

    2023

    36
    (i) How is electric current related to the potential difference across the terminals of a conductor ? Draw a labelled circuit diagram to verify this relationship. (ii) Why should an ammeter have low resistance ? (iii) Two V - I graphs A and B for series and parallel combinations of two resistors are as shown. Giving reason state which graph shows (a) series, (b) parallel combination of the resistors.

  4. Question 4

    2024

    33
    (a) State Ohm’s law. Write formula for the equivalent resistance RpR_p of the parallel combination of three resistors of values R1R_1, R2R_2 and R3R_3. (b) Find the resistance of the following network of resistors :

  5. Question 5

    2026

    34
    (a) State the law which gives the relation between the electric current flowing through a given conductor and the potential difference applied across it. (b) Draw V-I graph for a given conductor as per the law stated in above question (a).

  6. Question 6

    2026

    39 (b)
    (i) State Ohm’s law and draw V-I graph for a conductor which follows Ohm’s law. Show that the slope of V-I graph gives resistance of conductor. (ii) Derive an expression for the equivalent resistance of a series combination of three resistors having resistances R1R_1, R2R_2 and R3R_3.

  7. Question 7

    2026

    37
    (a) State Ohm’s law and justify that V−IV - I graph for Ohm’s law will always be a straight line passing through the origin. (b) The figure shows V−IV - I graphs for two identical wires A and B having the same length and area of cross-section, but made of different materials. Which of these wires will be more suitable for making the heating element of an electric heater and why ?