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Parallel-Plate Capacitance and Stored Energy — result sheet
Estimate the capacitance, charge, stored energy, and electric field of an ideal parallel-plate capacitor.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: C = κ ε₀ A / d; Q = CV; U = ½CV²; E = V/d, with ε₀ = 8.8541878128 × 10⁻¹² F/m.
For an ideal parallel-plate geometry, capacitance grows with plate area and dielectric permittivity and falls as plate separation increases. Once capacitance and voltage are known, the stored charge, electric energy, and uniform-field estimate follow from separate relationships.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- One plate area — m²; minimum 1.0E-6; maximum 1000000
- Plate separation — m; minimum 1.0E-9; maximum 1000
- Relative permittivity κ — minimum 1; maximum 100000
- Voltage across plates — V; minimum 0; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| One plate area | 0.25 |
| Plate separation | 0.001 |
| Relative permittivity κ | 1 |
| Voltage across plates | 12 |
2.2135 nF, 26.56 nC, and 159.4 nJ
Assumptions and limits
- The plates are large and parallel, with edge or fringing fields ignored.
- The entered relative permittivity is treated as a linear, uniform, frequency-independent factor.
- Voltage is a magnitude and the result does not check dielectric breakdown, leakage, heating, or component ratings.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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