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Worksheet

Ohms Law

 Ohm's Law:

OHM’s law states that - Electric current flowing through an ideal conductor is directly proportional to the Potential Difference across its ends. It is named after the a German physicist Georg Simon Ohm In 1827.

Mathematically,

V ∝ I

V = I x R

where:

  • V is the voltage (measured in volts),
  • I is the current (measured in amperes), and
  • R is the resistance (measured in ohms). It is a constant of proportionality.

Resistance is a property of conductor to resist flow of charge through it. Its SI unit is Ohm (Ω).

Ohm's Law

Note: Ohm’s Law holds true only when temperature remains the same.

  1. Calculate the resistance if 5 A of electric current flows through a conductor having potential difference between two points is equal to 15 V.
    Given:
    Current (I) = 5 A, Voltage (V) = 15 V
    To find Resistance (R)
    We know,
    V = I x R
    R = V/I = 15 / 5 = 3 Ω
  2. If the resistance of an electric iron is 48 Ω and an electric current of 5 A is flowing through it, what will be the potential difference between two terminals of electric iron.
    Given:
    Resistance (R) = 48 Ω, I = 5 A
    To find Voltage (V)
    We know,
    V = I x R = 5 x 48 = 240 V
  3. 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:    We know, Ohm’s Law – V = I x R or R = V/I

    I (amperes)

    V (volts)

    R (ohms), From ohm’s Law R = V / I

    0.5

    1.6

    1.6/0.5    = 3.2

    1.0

    3.4

    3.4/1.0    = 3.4

    2.0

    6.7

    6.7/2.0    = 3.35

    3.0

    10.2

    10.2/3.0  = 3.4

    4.0

    13.2

    13.2/4.0  = 3.3

     R = \frac{{3.2 + 3.4 + 3.35 + 3.4 + 3.3}}{5}

        R = \frac{{16.65}}{5}
        R = {\rm{3}}{\rm{.33 ohms}}




Test Yourself:


Ohms Law Reviewed by Syed Hafiz Choudhary on December 25, 2023 Rating: 5

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