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D.C. Circuits

The potential divider

  • 3 things to know
  • Component 2

Overview

Recall questions on what a potential divider is, the divider equation and its ratio form, why the supply divides in proportion to the resistances, using a variable resistor as a divider, and worked output calculations including the effect of a load.

What you need to know

Answer each one before you reveal it.

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Key term

What is a potential divider?

Key term

State the potential divider equation for the output taken across the second of two resistors.

Evaluation

What is the advantage of using large resistances in a potential divider?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a potential divider?

    Model answer

    A potential divider is two or more resistors in series across a supply, arranged so that a chosen fraction of the supply potential difference is available across one of them.

  2. 2

    State the potential divider equation for the output taken across the second of two resistors.

    Model answer

    The output is Vₒᵤₜ = Vᵢₙ × R₂/(R₁ + R₂), where R₂ is the resistor across which the output is taken.

  3. 3

    Derive the potential divider equation.

    Model answer

    The same current I = Vᵢₙ/(R₁ + R₂) passes through both resistors, and the output is IR₂. Substituting for I gives Vₒᵤₜ = Vᵢₙ R₂/(R₁ + R₂).

  4. 4

    A 12 V supply is applied across a 3.0 kΩ and a 9.0 kΩ resistor in series. Calculate the potential difference across the 9.0 kΩ resistor.

    Model answer

    The output is 12 × 9.0 ÷ 12.0 = 9.0 V. The 3.0 kΩ resistor then takes 3.0 V, and the two add to the 12 V supply.

  5. 5

    A 15 V supply is to be divided to give 5.0 V across a 2.0 kΩ resistor. Calculate the other resistance required.

    Model answer

    The ratio R₂/(R₁ + R₂) must be 1/3, so R₁ + R₂ = 6.0 kΩ and R₁ = 4.0 kΩ. Substituting back, 15 × 2.0 ÷ 6.0 = 5.0 V as required.

  6. 6

    Why do the two resistances in a potential divider matter only through their ratio when the divider is unloaded?

    Model answer

    The output fraction is R₂/(R₁ + R₂). That expression depends only on the ratio of the resistances and not on their individual sizes.

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