Capacitor with Dielectric
Capacitance of parallel plate capacitor with dielectric material.
Variables
Derivation
Dielectric increases capacitance by factor κ. C = κC₀ = κε₀A/d.
Your notes
Constants in this formula
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- κ = 1.5 (Dielectric constant)
- ε₀ = 8.854 × 10⁻¹² F/m (Permittivity)
- A = 3 m² (Plate area)
- d = 4 m (Separation)
Result: C = 9.96075 × 10⁻¹² F
Other electricity & magnetism formulas with the same quantities
- Capacitor Energy (Capacitance) shares Capacitance
- 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 RC Time Constant and before Energy Density (Electric Field).
- 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 Capacitor with Dielectric formula?
Capacitor with Dielectric is written C = κε₀(A/d). Capacitance of parallel plate capacitor with dielectric material. It belongs to Electricity & Magnetism, under Capacitance.
What are the units in C = κε₀(A/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 = κε₀(A/d).