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)
Linearising a relationship to find a constant
- 3 things to know
- All units
Overview
Recall questions on Linearising a relationship to find a constant.
What you need to know
Answer each one before you reveal it.
What does the gradient of a ln V against time graph represent for capacitor discharge?
How do you calculate the time constant τ from the gradient of a ln V against time graph?
Questions from this subtopic
Each one with the model answer underneath.
- 1
On a displacement–time graph, how is mean velocity represented graphically?
Model answer
By the gradient of a chord drawn between two points on the curve.
- 2
How can the value of g be extracted from a distance–time graph of a falling object?
Model answer
By analysing the curvature, or by using gradient analysis or curve fitting methods based on s = ½gt².
- 3
For capacitor discharge, what transformation must be applied to voltage readings before plotting to obtain a straight line?
Model answer
Take the natural logarithm of the voltage readings.
- 4
What does the gradient of a ln V against time graph represent for capacitor discharge?
Model answer
The negative reciprocal of the time constant (−1/τ).
- 5
How do you calculate the time constant τ from the gradient of a ln V against time graph?
Model answer
τ equals the negative reciprocal of the gradient: τ = −1/gradient.
- 6
Calculate the time constant when gradient = -0.17 s⁻¹.
Model answer
Time constant = −1 ÷ gradient = −1 ÷ (−0.17 s⁻¹) = 5.9 s.
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