Electricity & Magnetism

Capacitor with Dielectric

Capacitance of parallel plate capacitor with dielectric material.

Variables

C
Capacitance
Capacitance with dielectric
F
κ
Dielectric constant
Relative permittivity
unitless
ε₀
Permittivity
8.85×10⁻¹²
F/m
A
Plate area
Area of each plate
d
Separation
Distance between plates
m

Derivation

Dielectric increases capacitance by factor κ. C = κC₀ = κε₀A/d.

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