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The potential divider

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on what a potential divider is, Vₒᵤₜ = Vᵢₙ × R₂/(R₁ + R₂), potential difference in proportion to resistance, calculating outputs and resistance ratios, the loading effect and how to minimise it, rotary potentiometers and uniform wires, raising the upper resistance, and why a divider beats a series resistor for outputs from zero.

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 relationship.

Key term

State the proportionality between potential difference and resistance in a series circuit.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a potential divider?

    Model answer

    Two or more resistors connected in series across a supply, arranged so that a chosen fraction of the supply potential difference appears across one of them.

  2. 2

    State the potential divider relationship.

    Model answer

    Vₒᵤₜ = Vᵢₙ × R₂/(R₁ + R₂), where Vₒᵤₜ is taken across R₂.

  3. 3

    State the proportionality between potential difference and resistance in a series circuit.

    Model answer

    The potential difference across each resistor is proportional to its resistance, so V₁/V₂ = R₁/R₂.

  4. 4

    A 12 V supply is applied across a 2.0 kΩ resistor in series with a 4.0 kΩ resistor. Calculate the output taken across the 4.0 kΩ resistor.

    Model answer

    Vₒᵤₜ = 12 × 4.0/6.0 = 8.0 V.

  5. 5

    A 12 V supply is applied across a 2.0 kΩ resistor in series with a 4.0 kΩ resistor. Calculate the potential difference across the 2.0 kΩ resistor.

    Model answer

    V = 12 × 2.0/6.0 = 4.0 V.

  6. 6

    Two resistors in series across 9.0 V give 3.0 V across the first. Calculate the ratio of their resistances.

    Model answer

    The second carries 6.0 V, so the resistances are in the ratio 3.0 : 6.0, that is 1 : 2.

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