Discharging a capacitor AQA writeup, Summaries of Physics

In this Physics AQA writeup you will understand how to discharge a capacitor, with results and graphs that help you visualise it.

Typology: Summaries

2024/2025

Uploaded on 11/24/2025

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Name: ____________________________________
Required Practical Title: 9b - Charging a Capacitor
Aim
A clear brief statement of the purpose of this experiment.
To investigate the charging of a capacitor through a resistor and present three electronic charging
curves (V against t) for a 1000 µF capacitor using three different resistors.
Hypothesis
A clear statement of what will happen in the experiment (relate the independent variable to the dependent variable)
with a detailed explanation of why this will happen.
For charging at constant V0, the voltage across the capacitor rises according to V(t) = V0·(1 −
e^(−t/RC)). Therefore, a larger resistor (larger RC) should charge more slowly, so V(t) approaches
V0 more gradually.
Method
A detailed plan of how the investigation will be carried out.
Variables (Independent, dependent and control)
Independent: time t (s) from the start of charging; between runs, resistor value R.
Dependent: capacitor voltage V (V).
Controls: same 1000 µF capacitor, same initial supply V0 (≈6.02 V), same meter and range, same
wiring/switching method, room temperature.
Resolutions used: digital voltmeter 0–10 V (±0.01 V), stopwatch (±0.01 s), resistors ±1–5%
tolerance.
Equipment (List equipment used in the investigation. You could also draw a diagram of how the equipment is set up
– use a pencil and ruler)
Low-voltage DC supply, electrolytic capacitor 1000 µF, fixed resistors 12 kΩ / 47 kΩ / 100 kΩ,
two-way switch, digital voltmeter (±0.01 V), stopwatch (±0.01 s), leads and crocodile clips.
Procedure (A numbered list describing the steps required to carry out the investigation. Refer to all pieces of
equipment and how they are used)
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Name: ____________________________________ Required Practical Title: 9b - Charging a Capacitor Aim A clear brief statement of the purpose of this experiment. To investigate the charging of a capacitor through a resistor and present three electronic charging curves (V against t) for a 1000 μF capacitor using three different resistors. Hypothesis A clear statement of what will happen in the experiment (relate the independent variable to the dependent variable) with a detailed explanation of why this will happen. For charging at constant V0, the voltage across the capacitor rises according to V(t) = V0·(1 − e^(−t/RC)). Therefore, a larger resistor (larger RC) should charge more slowly, so V(t) approaches V0 more gradually. Method A detailed plan of how the investigation will be carried out. Variables (Independent, dependent and control) Independent: time t (s) from the start of charging; between runs, resistor value R. Dependent: capacitor voltage V (V). Controls: same 1000 μF capacitor, same initial supply V0 (≈6.02 V), same meter and range, same wiring/switching method, room temperature. Resolutions used: digital voltmeter 0–10 V (±0.01 V), stopwatch (±0.01 s), resistors ±1–5% tolerance. Equipment (List equipment used in the investigation. You could also draw a diagram of how the equipment is set up

  • use a pencil and ruler) Low-voltage DC supply, electrolytic capacitor 1000 μF, fixed resistors 12 kΩ / 47 kΩ / 100 kΩ, two-way switch, digital voltmeter (±0.01 V), stopwatch (±0.01 s), leads and crocodile clips. Procedure (A numbered list describing the steps required to carry out the investigation. Refer to all pieces of equipment and how they are used)
  1. Build the circuit with a two-way switch so the capacitor can be connected to the supply (charge) or isolated.
  2. Set the supply to about 6.0 V.
  3. Start timing at the moment of switching to charge and record V across the capacitor every 10 s until ~120 s.
  4. Repeat for three resistors (12 kΩ, 47 kΩ, 100 kΩ). Keep the meter on the same range. Risk Assessment (State the hazards and risks and what can be done to minimise these risks) Hazard Risk Control Electrolytic polarity Capacitor damage Match + and − to supply never reverse bias. Sudden discharge Sparks/heat if shorted Always discharge through R; never short the capacitor. Hot components Minor burn Use resistors with suitable power Leads and clips Snagging Keep bench tidy Results Data collected and observations made during practical work. Tables and graph must have suitable labels and units. Results Table t / s V (12 kΩ) / V V (47 kΩ) / V V (100 kΩ) / V 0 0.00 0.00 0. 10 3.40 1.15 0. 20 4.88 2.09 1. 30 5.53 2.84 1. 40 5.81 3.45 1. 50 5.93 3.94 2.

Trends and Patterns of data For the 1000 μF capacitor, the 12 kΩ curve rises fastest, 47 kΩ is intermediate, and 100 kΩ rises slowest, consistent with larger RC giving slower charging. Conclusions with scientific explanations (state whether the data supports the hypothesis or not and give scientific reasons for the results) The data support the hypothesis that the capacitor voltage increases according to V(t) = V0(1 − e^(−t/RC)). Using the 63% method (V ≈ 0.63V0) gives RC values in excellent agreement with R×C (12 s, 47 s, 100 s), confirming the relationship between R and charging rate. . Evaluation Evaluation of strengths and weaknesses of the investigation and suggest specific improvements e.g. was it difficult to control certain variables, would a different pieces of equipment be more suitable? Strengths

  1. Three resistor values presented on the same axes allow clear comparison of charging rate.
  2. Fixed V0 and consistent timing/resolution across runs improve fairness.
  3. The 63% method provides a simple check of RC without linearisation. Weaknesses
  4. Reaction-time when switching to charge can shift the earliest point.
  5. Meter resolution (±0.01 V) causes larger time uncertainty near the top of the curve.
  6. Electrolytic capacitors have wide tolerances and vary with temperature. Specific improvements
  7. Use a data logger or high-impedance buffer to automate readings and reduce loading.
  8. Measure actual R and C with a calibrated meter and quote tolerances.
  9. Keep V0 constant and take denser early-time points for the 12 kΩ run.
  10. Extend measurement time for 100 kΩ until V ~ 0.9·V0 to see the asymptote clearly. Sources of information List any sources of information used e.g. books, websites, etc. CLEAPSS. 2024. Laboratory safety guidance for low voltage work and capacitors. CLEAPSS, UK. AQA. 2024. A level Physics Practical Handbook, Required Practical on capacitor discharge. Serway RA, Jewett JW. 2019. Physics for Scientists and Engineers, 10th edition. Cengage Learning.

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