Electricity & Magnetism
Capacitor with Dielectric
Capacitance of parallel plate capacitor with dielectric material.
Variables
CF
Capacitance
Capacitance with dielectric
κunitless
Dielectric constant
Relative permittivity
ε₀F/m
Permittivity
8.85×10⁻¹²
Am²
Plate area
Area of each plate
dm
Separation
Distance between plates
Derivation
Dielectric increases capacitance by factor κ. C = κC₀ = κε₀A/d.
Your notes
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Common questions
What is the Capacitor with Dielectric formula?
Capacitor with Dielectric is written C = κε₀A/d. Capacitance of parallel plate capacitor with dielectric material. It belongs to Electricity & Magnetism, under Capacitance.
What are the units in C = κε₀A/d?
In SI units, C is capacitance, measured in A²·s⁴/(kg·m²); κ is dielectric constant (dimensionless); 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 Capacitor with Dielectric formula derived?
Dielectric increases capacitance by factor κ. C = κC₀ = κε₀A/d. The result is C = κε₀A/d.