levo

Electric and Magnetic Fields

Charging and discharging graphs and the time constant

  • 2 things to know
  • Papers 1 and 3

Overview

Recall questions on the shapes of the charge, current and potential difference graphs, why the charging current falls, and the meaning of the time constant.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

What percentage of the final charge is reached after one time constant, and what happens to the time constant if the resistance is doubled?

Numbers

What is the equation for the charge remaining on a discharging capacitor, and what linear form does taking logarithms give?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What shape is the graph of potential difference against time for a capacitor discharging through a resistor?

    Model answer

    It starts at the initial potential difference and falls steeply at first, then more and more slowly, approaching zero asymptotically in an exponential decay.

  2. 2

    How does the current vary with time when a capacitor charges through a resistor?

    Model answer

    The current starts at a maximum value of V₀/R and then decays exponentially towards zero.

  3. 3

    What shape is the charge against time graph while a capacitor charges through a resistor?

    Model answer

    The charge rises steeply from zero and then levels off, approaching the final value Q₀ = CV₀ asymptotically.

  4. 4

    Why does the charging current fall as a capacitor charges?

    Model answer

    As charge accumulates the potential difference across the capacitor rises, so the potential difference across the resistor falls and the current, which equals that potential difference divided by R, falls with it.

  5. 5

    What is meant by the time constant of a resistor-capacitor circuit?

    Model answer

    It is the product RC, the time taken for the charge, current or potential difference to fall to 1/e, about 37%, of its initial value during discharge.

  6. 6

    Why does the product of resistance and capacitance have the unit of time?

    Model answer

    Ω × F = (V A⁻¹) × (C V⁻¹) = C A⁻¹ = s, since one ampere is one coulomb per second.

Other ways to work this

The same content, four other ways.

What is inside Levo

Six ways to work the same material.

1Closed book
2Open book
3Closed book

The 3-step method, run for you

Answer cold, learn it, then prove it stuck. Levo tracks the jump between your first attempt and your last.

Working as a Physicist
Mechanics
Electric Circuits
Materials

Cram a whole paper in one sitting

Sort every topic into what you know and what you do not, then drill only the weak ones.

The gradient gives the .
accelerationvelocitydisplacement

Blank Blitz makes facts automatic

Rapid timed gap-fills on the terms and numbers you need to recall without thinking.

AThe equation is s = (u + v)t/2.
BThe equation is v = u + at.
CThe equation is s = ut + ½at².

Build It gets the exam shape right

Assemble a full-mark answer from its marking points, in the order an examiner wants them.

Speed means rate of change of distance.
TrueFalse

Test It catches misconceptions

Spot the fault in a statement. The traps are the mistakes students actually make.

721941163128510

Brain Breaks between sessions

Short focus games to reset attention, so the next set lands better than the last.

Every question in Electric and Magnetic Fields, on a schedule.

Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.

Or £46 a year, about £3.83 a month. Cancel anytime.