Electricity & Magnetism
Parallel Plate Capacitor
Capacitance of parallel plate capacitor.
Variables
CF
Capacitance
Capacitance
In SI units: A²·s⁴/(kg·m²)
Allowed values: greater than 0
ε₀F/m
Permittivity
8.85×10⁻¹²
In SI units: A²·s⁴/(kg·m³)
Allowed values: greater than 0
Am²
Plate area
Area of each plate
Allowed values: greater than 0
dm
Separation
Distance between plates
Allowed values: greater than 0
Derivation
From E = σ/ε₀ and V = Ed.
Your notes
0/5000
Constants in this formula
Check value
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- ε₀ = 8.854 × 10⁻¹² F/m (Permittivity)
- A = 2 m² (Plate area)
- d = 3 m (Separation)
Result: C = 5.902667 × 10⁻¹² F
Other electricity & magnetism formulas with the same quantities
- Capacitor with Dielectric (Capacitance) shares Capacitance, Permittivity, Plate area, Separation
- RC Time Constant (Capacitance) shares Capacitance
- Energy Density (Electric Field) (Capacitance) shares Permittivity
- Gauss's Law (Electrostatics) shares Permittivity
- Capacitive Reactance (AC Circuits) shares Capacitance
- Resonant Frequency (LC) (AC Circuits) shares Capacitance
Where this formula is listed
- Electricity & Magnetism formulas, under Capacitance, alongside Capacitors in Series and Capacitors in Parallel.
- In the electricity & magnetism list it comes after Capacitance and before Capacitor Energy.
- Electricity & Magnetism formula sheet, one of 48 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Parallel Plate Capacitor formula?
Parallel Plate Capacitor is written C = ε₀(A/d). Capacitance of parallel plate capacitor. It belongs to Electricity & Magnetism, under Capacitance.
What are the units in C = ε₀(A/d)?
In SI units, C is capacitance, measured in A²·s⁴/(kg·m²); ε₀ is permittivity, measured in A²·s⁴/(kg·m³); A is plate area, measured in m²; d is separation, measured in m.
How is the Parallel Plate Capacitor formula derived?
From E = σ/ε₀ and V = Ed. The result is C = ε₀(A/d).
