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Electrical Circuits

Kirchhoff's laws and combining resistances

  • 4 things to know
  • Papers 2 and 3

Overview

Recall questions on Kirchhoff's first and second laws and the conservation principles behind them, resistors in series and parallel with calculations, and how current and potential difference are shared in series and parallel circuits.

What you need to know

Answer each one before you reveal it.

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Numbers

Write the formula for the total resistance of resistors connected in series.

Key term

What fundamental conservation principle underlies Kirchhoff's second law?

Key term

Kirchhoff's first law is a consequence of which conservation principle?

Key term

How is the total potential difference shared in a series circuit?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State Kirchhoff's second law.

    Model answer

    The sum of the electromotive forces in any closed loop equals the sum of the potential differences across all components in that loop.

  2. 2

    What fundamental conservation principle underlies Kirchhoff's second law?

    Model answer

    Conservation of energy.

  3. 3

    Kirchhoff's first law is a consequence of which conservation principle?

    Model answer

    Conservation of charge.

  4. 4

    Write the formula for the total resistance of resistors connected in series.

    Model answer

    R = R₁ + R₂ + …

  5. 5

    Explain why the total resistance of resistors in series equals the sum of the individual resistances.

    Model answer

    In series, the same current flows through each resistor, and the total potential difference is the sum of the p.d.s across each. Applying V = IR to each resistor and summing gives R_total = R₁ + R₂ + …

  6. 6

    Calculate the total resistance when resistors of 930 Ω and 40 Ω are connected in series.

    Model answer

    Total resistance = 930 + 40 = 970 Ω.

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