Electricity & Magnetism

Parallel Plate Capacitor

C=ε0AdC = \varepsilon_0 \frac{A}{d}

Capacitance of parallel plate capacitor.

Variables

C
Capacitance
Capacitance
In SI units: A²·s⁴/(kg·m²)
Allowed values: greater than 0
F
ε₀
Permittivity
8.85×10⁻¹²
In SI units: A²·s⁴/(kg·m³)
Allowed values: greater than 0
F/m
A
Plate area
Area of each plate
Allowed values: greater than 0
m²
d
Separation
Distance between plates
Allowed values: greater than 0
m

Derivation

From E = σ/ε₀ and V = Ed.

Your notes

0/5000

Constants in this formula

ε₀
8.854 × 10⁻¹². Measured (CODATA 2018).
F/m

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

Where this formula is listed

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).