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Resistance

The heating effect of a current and choosing a power equation

  • 3 things to know
  • AS Unit 2

Overview

Recall questions on The heating effect of a current and choosing a power equation.

What you need to know

Answer each one before you reveal it.

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Key term

Which power equation is the convenient one to use for components carrying the same current, and why?

Key term

Which power equation is the convenient one for components connected across the same potential difference, and why?

Key term

In a series circuit containing two unequal resistors, which one dissipates the greater power?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Which power equation is the convenient one to use for components carrying the same current, and why?

    Model answer

    The equation P = I²R is used, because in a series arrangement the current is common to all the components, so the power in each is proportional to its resistance.

  2. 2

    Which power equation is the convenient one for components connected across the same potential difference, and why?

    Model answer

    The equation P = V²/R is used, because in a parallel arrangement the potential difference is common, so the power in each component is inversely proportional to its resistance.

  3. 3

    A 4.0 Ω and a 12 Ω resistor are in series carrying a current of 0.50 A. Calculate the power dissipated in each.

    Model answer

    Using P = I²R gives 0.50² × 4.0 = 1.0 W in the first and 0.50² × 12 = 3.0 W in the second.

  4. 4

    A 4.0 Ω and a 12 Ω resistor are connected in parallel across 6.0 V. Calculate the power dissipated in each.

    Model answer

    Using P = V²/R gives 6.0² ÷ 4.0 = 9.0 W in the first and 6.0² ÷ 12 = 3.0 W in the second.

  5. 5

    In a series circuit containing two unequal resistors, which one dissipates the greater power?

    Model answer

    The resistor of larger resistance dissipates the greater power, because the current is the same in both and P = I²R.

  6. 6

    In a parallel arrangement of two unequal resistors, which one dissipates the greater power?

    Model answer

    The resistor of smaller resistance dissipates the greater power, because the potential difference is the same across both and P = V²/R.

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