OCR A-Level Physics A H556
Practical Skills in the Written Papers
The Practical Endorsement
Physical Quantities and Units
Making Measurements and Analysing Data
Nature of Quantities
Motion
Forces in Action
Work, Energy and Power
Materials
Newton’s Laws of Motion and Momentum
Charge and Current
Energy, Power and Resistance
Electrical Circuits
Waves
Quantum Physics
Thermal Physics
Oscillations
Gravitational Fields
Astrophysics and Cosmology
Capacitors
Electric Fields
Electromagnetism
Nuclear and Particle Physics
Electric Fields
Electric potential energy and capacitance of a sphere
- 3 things to know
- Papers 1, 2 and 3
Overview
Recall questions on electric potential energy of a charge near a point charge with calculations, deriving and calculating the capacitance of an isolated sphere, and the area under a force-distance graph.
What you need to know
Answer each one before you reveal it.
What is the starting equation for deriving the capacitance of an isolated sphere?
Which definition of capacitance is used when deriving the capacitance of an isolated sphere?
Questions from this subtopic
Each one with the model answer underneath.
- 1
State the relationship between electric potential energy, charge, and electric potential.
Model answer
Electric potential energy equals the product of the charge and the electric potential: Eₚ = qV.
- 2
Write the equation for the electric potential energy of a charge q at distance r from a point charge Q.
Model answer
Eₚ = Qq/(4πε₀r), where Eₚ is electric potential energy, Q and q are the charges, ε₀ is the permittivity of free space, and r is the separation.
- 3
What quantities are needed to calculate the electric potential energy of a charge near a point charge?
Model answer
Both charges (Q and q), the separation between them (r), and the permittivity of free space (ε₀).
- 4
Calculate the electric potential energy when charge Q = 4.0 × 10⁻⁹ C, charge q = 2.0 × 10⁻⁹ C, distance = 0.46 m.
Model answer
Electric potential energy = (4.0 × 10⁻⁹ × 2.0 × 10⁻⁹) ÷ (4π × 8.85 × 10⁻¹² × 0.46) = 1.56 × 10⁻⁷ J.
- 5
State the equation for the capacitance of an isolated conducting sphere.
Model answer
C = 4πε₀R, where C is capacitance, ε₀ is the permittivity of free space, and R is the radius of the sphere.
- 6
What is the starting equation for deriving the capacitance of an isolated sphere?
Model answer
V = Q/(4πε₀R), which gives the electric potential at the surface of the sphere.
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