WJEC A-Level Physics 1420QS
Basic Physics
Kinematics
Dynamics
Energy Concepts
Solids Under Stress
Using Radiation to Investigate Stars
Particles and Nuclear Structure
Conduction of Electricity
Resistance
D.C. Circuits
The Nature of Waves
Wave Properties
Refraction of Light
Photons
Lasers
Circular Motion
Vibrations
Kinetic Theory
Thermal Physics
Nuclear Decay
Nuclear Energy
Capacitance
Electrostatic and Gravitational Fields of Force
Orbits and the Wider Universe
Magnetic Fields
Electromagnetic Induction
Option A: Alternating CurrentsOption A
Option B: Medical PhysicsOption B
Option C: The Physics of SportsOption C
Option D: Energy and the EnvironmentOption D
Mathematical Requirements (Appendix C)
Mathematical Requirements (Appendix C)
Choosing what to plot to find a constant
- 2 things to know
- All units
Overview
Recall questions on Choosing what to plot to find a constant.
What you need to know
Answer each one before you reveal it.
For capacitor discharge, what is the equation relating ln V to time, and what does the gradient represent?
Questions from this subtopic
Each one with the model answer underneath.
- 1
How can equations involving rates of change be solved using graphical methods?
Model answer
By plotting the data and finding gradients (for rates) or areas (for accumulated quantities) from the graph.
- 2
In projectile motion, what equation relates distance fallen to time, and what does the gradient of a distance versus time-squared graph represent?
Model answer
The equation is s = ½gt². The gradient of an s against t² graph equals ½g, so g can be determined by doubling the gradient.
- 3
Why is a logarithmic plot useful when analysing an exponential relationship?
Model answer
It converts the exponential relationship into a straight line, allowing constants to be determined from the gradient and intercept.
- 4
For capacitor discharge, what is the equation relating ln V to time, and what does the gradient represent?
Model answer
The equation is ln V = ln V₀ − t/τ. The gradient equals −1/τ, where τ is the time constant.
- 5
How can the time constant τ for capacitor discharge be obtained from a graph of ln V against time?
Model answer
By finding the gradient of the straight line and taking its negative reciprocal: τ = −1/gradient.
- 6
If a plot of ln y against x produces a straight line, what form does the relationship between y and x take?
Model answer
The relationship is exponential: y = Ae^(kx), where k is the gradient and ln A is the y-intercept.
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