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Fields and Their Consequences

Capacitor charge and discharge

  • 7 things to know
  • Papers 2 and 3

Overview

The time constant, the exponential equations, and the log-linear graphs used to find RC.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

What does the gradient of a Q-t graph give, and how does current vary during discharge?

Numbers

How is the time constant defined, and why is it measured in seconds?

Numbers

How can the time constant be found graphically from a discharge curve?

Numbers

How do charge and potential difference vary with time during discharge?

Numbers

What do I₀ and RC represent in the discharge current equation?

Numbers

What happens to discharge current over time, and why does charging include (1 − e^(−t/RC))?

Numbers

What shape is a log-linear discharge plot, and how does its gradient give the time constant?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Describe how the charge on a capacitor changes with time when it is charged through a resistor.

    Model answer

    The charge increases from zero and asymptotically approaches a maximum value, following an exponential growth curve.

  2. 2

    What shape of curve is produced when charge is plotted against time for a capacitor charging through a resistor?

    Model answer

    An exponential growth curve.

  3. 3

    What shape of curve is produced when charge is plotted against time for a discharging capacitor?

    Model answer

    An exponential decay curve.

  4. 4

    How does the potential difference across a capacitor change during charging?

    Model answer

    It increases exponentially from zero towards the supply voltage.

  5. 5

    Describe how the current varies with time when a capacitor is being charged through a resistor.

    Model answer

    The current starts at a maximum value and decreases exponentially towards zero as the capacitor charges.

  6. 6

    Why does the charging current decrease as a capacitor charges?

    Model answer

    As charge accumulates on the capacitor, the p.d. across it increases, reducing the p.d. across the resistor and hence reducing the current.

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