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Capacitors

Iterative modelling, exponential decay and the constant-ratio property

  • 3 things to know
  • Papers 1, 2 and 3

Overview

Recall questions on the iterative equation ΔQ/Δt = −Q/CR, modelling capacitor discharge on a spreadsheet, why logarithms help analysis, and the shape and constant-ratio property of exponential decay.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

How is the change in charge ΔQ calculated at each step in a spreadsheet model of discharge?

Key term

What is done after calculating the new charge value in spreadsheet modelling of discharge?

Key term

What is the first step when setting up a spreadsheet model for capacitor discharge?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the iterative equation used to model capacitor discharge over small time intervals.

    Model answer

    ΔQ/Δt = −Q/CR.

  2. 2

    In the iterative equation ΔQ/Δt = −Q/CR, what does ΔQ represent?

    Model answer

    ΔQ represents the change in charge over the small time interval Δt.

  3. 3

    How is the change in charge ΔQ calculated at each step in a spreadsheet model of discharge?

    Model answer

    ΔQ = −(Q/CR) × Δt.

  4. 4

    Why is taking natural logarithms of the discharge equation useful for data analysis?

    Model answer

    It transforms the exponential relationship into a linear relationship with time t.

  5. 5

    What is the first step when setting up a spreadsheet model for capacitor discharge?

    Model answer

    Set the initial charge Q₀.

  6. 6

    In spreadsheet modelling of capacitor discharge, what must be chosen to define the resolution of the model?

    Model answer

    A small time interval Δt must be chosen.

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