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Parallel Plate Capacitor: Plate separation Calculator

Parallel Plate Capacitor: Calculate plate separation from Capacitance, Absolute permittivity, Area. Check the formula, input units and worked result on this page.

Enter your values

F
Formula symbol: C. Required unit: F. Must be greater than zero.
F/m
Formula symbol: ε. Required unit: F/m. Must be greater than zero.
m²
Formula symbol: A. Required unit: m². Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. Permittivity is absolute ε, not a dimensionless relative coefficient. Separation is small compared with plate dimensions and dielectric is uniform; edge effects are excluded.
Example result
Plate separation
0.00075 m

The initial result uses the example values. Enter your own values and calculate again.

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How it works

Use parallel plate capacitor with the units stated beside the fields. This form solves for plate separation; enter the known quantities in Capacitance, Absolute permittivity, Area.

Inputs and units
Parallel Plate Capacitor: Plate separation Calculator · Inputs and units
InputExample valueWhat to enter
Capacitance1.5E-10 FFormula symbol: C. Required unit: F. Must be greater than zero.
Absolute permittivity7.5E-12 F/mFormula symbol: ε. Required unit: F/m. Must be greater than zero.
Area0.015 m²Formula symbol: A. Required unit: m². Must be greater than zero.
d = ((C / (1 × ε × A)))^(-1)

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Capacitance
1.5E-10 F
Absolute permittivity
7.5E-12 F/m
Area
0.015 m²

Complete example results

Plate separation
0.00075 m

Reading the result

The result solves for plate separation from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the plate separation result?

This model uses positive magnitudes. Permittivity is absolute ε, not a dimensionless relative coefficient. Separation is small compared with plate dimensions and dielectric is uniform; edge effects are excluded.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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