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