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2 The voltage supplied to a circuit is 240 V and the resistance is 60 Ω. Calculate the current flowing in the circuit.

Physics

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Here are the solutions to the problems using Ohm's Law, V=IRV = IR.

3.2
The voltage supplied to a circuit is 240 V and the resistance is 60 Ω60 \, \Omega. Calculate the current flowing in the circuit.

  1. State the formula for current.

    Ohm's Law states that V=IRV = IR, where VV is voltage, II is current, and RR is resistance. To find the current, we rearrange the formula to:

    I=VRI = \frac{V}{R}
  2. Substitute the given values.

    Given V=240V = 240 V and R=60 ΩR = 60 \, \Omega.

    I=240 V60 ΩI = \frac{240\, \text{V}}{60\, \Omega}
  3. Calculate the current.

    I=4 AI = 4\, \text{A}

    The current flowing in the circuit is 4 A\boxed{\text{4 A}}.

    3.3
    A kettle operates at 12 A when connected to a 240 V supply. Calculate the resistance of the kettle.

  4. State the formula for resistance.

    Using Ohm's Law, V=IRV = IR, we can rearrange to find resistance:

    R=VIR = \frac{V}{I}
  5. Substitute the given values.

    Given V=240V = 240 V and I=12I = 12 A.

    R=240 V12 AR = \frac{240\, \text{V}}{12\, \text{A}}
  6. Calculate the resistance.

    R=20 ΩR = 20\, \Omega

    The resistance of the kettle is 20 Ω\boxed{\text{20 } \Omega}.

    QUESTION 4: REASONING AND INTERPRETATION

    4.1 A resistor has a constant resistance of 10 Ω10 \, \Omega.

    4.1.1 Calculate the current when the voltage is 20 V.

  7. State the formula for current.

    I=VRI = \frac{V}{R}
  8. Substitute the given values.

    Given V=20V = 20 V and R=10 ΩR = 10 \, \Omega.

    I=20 V10 ΩI = \frac{20\, \text{V}}{10\, \Omega}
  9. Calculate the current.

    I=2 AI = 2\, \text{A}

    The current is 2 A\boxed{\text{2 A}}.

    4.1.2 Calculate the current when the voltage is increased to 40 V.

  10. State the formula for current.

    I=VRI = \frac{V}{R}
  11. Substitute the given values.

    Given V=40V = 40 V and R=10 ΩR = 10 \, \Omega.

    I=40 V10 ΩI = \frac{40\, \text{V}}{10\, \Omega}
  12. Calculate the current.

    I=4 AI = 4\, \text{A}

    The current is 4 A\boxed{\text{4 A}}.

    4.1.3 What happens to the current when the voltage is doubled?

    From 4.1.1, when V=20V = 20 V, I=2I = 2 A. From 4.1.2, when V=40V = 40 V (which is double 20 V), I=4I = 4 A (which is double 2 A).
    When the voltage is doubled, the current also doubles. This is because current is directly proportional to voltage when resistance is constant.

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