OCR A-Level Physics B H557
Planning
Implementing
Analysis
Evaluation
Practical Skills
Use of Apparatus and Techniques
Fundamental Data Analysis
Imaging and Signalling
Sensing
Mechanical Properties of Materials
Waves and Quantum Behaviour
Space, Time and Motion
Creating Models
Out Into Space
Our Place in the Universe
Matter: Very Simple
Matter: Hot or Cold
Electromagnetism
Charge and Field
Probing Deep Into Matter
Ionising Radiation and Risk
Creating Models
Charging a capacitor
- 3 things to know
- Components 01, 02 and 03
Overview
Recall questions on Q = Q₀(1 − exp(−t/RC)) and V = V₀(1 − exp(−t/RC)), the 63% stored after one time constant, why the charging current falls and I = I₀exp(−t/RC), current–time graphs for charging and discharging, time constant and potential difference calculations, the resistor and capacitor potential differences, series resistance, and stored energy.
What you need to know
Answer each one before you reveal it.
What fraction of the final charge is on a capacitor after one time constant of charging?
Why does the charging current fall as the capacitor charges?
Questions from this subtopic
Each one with the model answer underneath.
- 1
What equation gives the charge on a capacitor being charged through a resistor?
Model answer
The charge is Q = Q₀(1 − exp(−t/RC)), where Q₀ is the final charge.
- 2
Describe the shape of a graph of potential difference against time as a capacitor charges.
Model answer
It rises steeply from zero, curves over and approaches the supply potential difference asymptotically.
- 3
What fraction of the final charge is on a capacitor after one time constant of charging?
Model answer
About 0.63, since 1 − e⁻¹ = 0.63, so 63% of the final charge is stored.
- 4
Why does the charging current fall as the capacitor charges?
Model answer
The growing potential difference across the capacitor opposes the supply, so the potential difference across the resistor and hence the current both fall.
- 5
What is the expression for the current during the charging of a capacitor?
Model answer
The current is I = I₀exp(−t/RC), with I₀ = V₀/R at the instant charging begins.
- 6
Describe the shape of the current–time graph for a charging capacitor.
Model answer
It starts at its maximum value and decays exponentially towards zero.
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