Eduqas A-Level Physics A420QS
Basic Physics
Kinematics
Dynamics
Energy Concepts
Circular Motion
Vibrations
Kinetic Theory
Thermal Physics
Conduction of Electricity
Resistance
D.C. Circuits
Capacitance
Solids Under Stress
Electrostatic and Gravitational Fields of Force
Using Radiation to Investigate Stars
Orbits and the Wider Universe
The Nature of Waves
Wave Properties
Refraction of Light
Photons
Lasers
Nuclear Decay
Particles and Nuclear Structure
Nuclear Energy
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)
Resistance
Resistivity and the equation R = ρl/A
- 3 things to know
- Component 2
Overview
Resistivity of a material and typical value for the resistivity of copper at room temperature.
What you need to know
Answer each one before you reveal it.
Outline how the resistivity of a metal in the form of a wire is determined experimentally.
Why is the diameter of the wire measured at several places along it in a resistivity experiment?
Questions from this subtopic
Each one with the model answer underneath.
- 1
State the equation for the resistance of a uniform wire in terms of resistivity, defining every symbol and its unit.
Model answer
The equation is R = ρl/A, where R is the resistance in ohms (Ω), ρ is the resistivity in ohm metres (Ω m), l is the length in metres (m) and A is the cross-sectional area in square metres (m²).
- 2
Define the resistivity of a material.
Model answer
The resistivity of a material is the resistance of a sample of it of unit length and unit cross-sectional area, and it is given by ρ = RA/l.
- 3
Derive the unit of resistivity from R = ρl/A.
Model answer
Rearranging gives ρ = RA/l, so the unit is Ω × m² ÷ m. That simplifies to Ω m.
- 4
Why is resistivity a more useful quantity than resistance when comparing two materials?
Model answer
Resistance depends on the size and shape of the sample, whereas resistivity is a property of the material alone at a given temperature.
- 5
What is a typical value for the resistivity of copper at room temperature?
Model answer
Copper has a resistivity of about 1.7 × 10⁻⁸ Ω m at room temperature.
- 6
A copper cable of length 50 m has a cross-sectional area of 2.5 mm². Calculate its resistance, taking ρ = 1.7 × 10⁻⁸ Ω m.
Model answer
The resistance is R = (1.7 × 10⁻⁸ × 50) ÷ (2.5 × 10⁻⁶) = 0.34 Ω. Substituting back, ρ = RA/l = 0.34 × 2.5 × 10⁻⁶ ÷ 50 = 1.7 × 10⁻⁸ Ω m.
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