# [Parallel Plate Capacitor Calculator](https://blog.hirnschall.net/tools/parallel-plate-capacitor/)

author: [Sebastian Hirnschall](https://blog.hirnschall.net/about/)

meta description: Solve for capacitance, plate area, separation, or permittivity given the other three. Online calculator with formula explanation for each variable.

meta title: Parallel Plate Capacitor Calculator — Solve Any Variable

date published: 23.11.2024 (DD.MM.YYYY format)
date last modified: 03.04.2026 (DD.MM.YYYY format)

---

Calculator
----------

This calculator can solve for any of the four variables \( C \), \( A \), \( d \), or \( \varepsilon\_r \) when you provide the other three.

* Area of the plates (A):
* m²
  mm²
  cm²

* Distance between plates (d):
* m
  cm
  mm

* Dielectric constant (εr):

* Capacitance (C):
* F
  pF
  nF
  µF
  mF

* Dielectric constant (ε0):
* F/m

Please fill in exactly three variables.

Calculate



Parallel Plate Capacitor - Explanation
--------------------------------------

A parallel plate capacitor is a type of capacitor consisting of two conductive plates separated by a dielectric material. The capacitance \( C \) of such a capacitor is determined by the following formula:
\[
C = \frac{\varepsilon\_0 \varepsilon\_r A}{d}
\]
Where:

* \( C \) is the capacitance (in Farads, \(F\)),
* \( \varepsilon\_0 \) is the dielectric constant of vacuum (\( 8.854 \times 10^{-12} \, \text{F/m} \)),
* \( \varepsilon\_r \) is the relative dielectric constant of the material between the plates,
* \( A \) is the area of one of the plates (in square meters, \( m^2 \)), and
* \( d \) is the distance between the plates (in meters, \( m \)).

Purpose of the Calculator
-------------------------

This calculator can solve for any of the four variables \( C \), \( A \), \( d \), or \( \varepsilon\_r \) when you provide the other three. It uses the following rearranged formulas to solve for each missing variable.

* To solve for \( C \) (capacitance):
  \[
  C = \frac{\varepsilon\_0 \varepsilon\_r A}{d}
  \]
* To solve for \( A \) (area):
  \[
  A = \frac{C \cdot d}{\varepsilon\_0 \varepsilon\_r}
  \]
* To solve for \( d \) (distance):
  \[
  d = \frac{\varepsilon\_0 \varepsilon\_r A}{C}
  \]
* To solve for \( \varepsilon\_r \) (relative dielectric constant):
  \[
  \varepsilon\_r = \frac{C \cdot d}{A \cdot \varepsilon\_0}
  \]

More info
---------

Looking for more helpful tools and calculators? Explore a wide range of resources to simplify your engineering projects and calculations. Head over to our [tools section](https://blog.hirnschall.net/tools/) to find our free online calculators.  
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