Calculator
Example Data Table
| Method | Input values | Formula | Expected result |
|---|---|---|---|
| Charge and voltage | Q = 10 µC, V = 5 V | C = Q / V | 2 µF |
| Plate geometry | A = 100 cm², d = 1 mm, εᵣ = 1 | C = ε₀εᵣA / d | 88.5419 pF |
| Reactance | f = 1000 Hz, Xc = 159.155 Ω | C = 1 / 2πfXc | 1 µF |
| Parallel network | 10 µF, 22 µF, 47 µF | Ceq = C1 + C2 + C3 | 79 µF |
Formula Used
Charge method: C = Q / V. Capacitance equals charge divided by voltage.
Plate method: C = ε₀ × εᵣ × A / d. Area increases capacitance. Distance reduces capacitance.
Energy method: C = 2E / V². Stored energy and voltage estimate capacitance.
Reactance method: C = 1 / (2πfXc). Frequency and reactance solve capacitance.
Time constant method: C = τ / R. RC delay divided by resistance gives capacitance.
Parallel network: Ceq = C1 + C2 + C3 + ...
Series network: 1 / Ceq = 1 / C1 + 1 / C2 + ...
How to Use This Calculator
- Select the calculation method that matches your known values.
- Enter voltage, charge, geometry, energy, reactance, resistance, or network values.
- Choose the correct units beside each input field.
- Select the output unit for the main capacitance result.
- Press the calculate button to show results above the form.
- Use CSV or PDF download buttons to save your result table.
Understanding Capacitor Capacitance
Capacitance shows how much electric charge a capacitor stores for each volt across its plates. A larger value means the part can hold more charge. Designers use this value when setting filters, timers, power smoothing circuits, motor starters, and sensor interfaces.
Main Calculation Methods
The basic charge method uses C equals Q divided by V. It is useful when charge and voltage are measured in a lab. A second method uses plate area, plate spacing, and dielectric constant. It helps with custom plate capacitors and educational design checks. The energy method uses stored joules and voltage. The reactance method uses frequency and capacitive reactance. The time constant method uses resistance and measured delay.
Why Units Matter
Good input units matter. Picofarads often describe radio circuits. Nanofarads are common in filters. Microfarads are common in power supplies. Farads appear in supercapacitors. The calculator converts these units before solving. This keeps the final result consistent.
Dielectric and Spacing Effects
Dielectric material also changes capacitance. Air has a relative permittivity close to one. Ceramic, plastic film, mica, and electrolytic materials raise the effective storage ability. Higher dielectric constant increases capacitance, when area and distance stay the same. Smaller spacing also increases capacitance. However, narrow spacing can reduce voltage rating and increase breakdown risk.
Series and Parallel Networks
Series and parallel networks behave differently. Parallel capacitors add directly, so total capacitance rises. Series capacitors reduce the equivalent capacitance, because each part shares the voltage. Series connections are often used for voltage sharing. Parallel connections are often used for ripple current and storage.
Practical Design Notes
A calculated value is only a starting point. Real capacitors have tolerance, leakage, equivalent series resistance, temperature drift, and voltage derating. These effects can matter in precision timing or high current circuits. Always compare the result with data sheet limits. Choose a voltage rating above the expected circuit voltage.
Recording Results
This tool supports several common design paths. Enter the known values, choose units, and select the method. The result table shows equivalent capacitance, converted output units, estimated charge, stored energy, reactance, and RC delay when inputs allow. Use the downloads to record calculations for reports, purchase notes, or circuit reviews.
For best accuracy, measure voltage under load, confirm actual component tolerance, and repeat critical calculations after selecting the final capacitor series and package type.
FAQs
What is capacitance?
Capacitance is the ability of a capacitor to store electric charge. It is measured in farads. Higher capacitance stores more charge at the same voltage.
Which method should I choose?
Choose the method that matches your known data. Use charge and voltage for lab data. Use geometry for plate design. Use reactance for AC circuits.
What does relative permittivity mean?
Relative permittivity describes how strongly a dielectric material increases capacitance compared with vacuum. Higher values usually create higher capacitance.
Why does spacing reduce capacitance?
Greater plate spacing weakens the electric field coupling between plates. This reduces stored charge for the same voltage, so capacitance becomes lower.
How do parallel capacitors combine?
Parallel capacitors add directly. A 10 µF capacitor and a 22 µF capacitor in parallel equal 32 µF, before tolerance effects.
How do series capacitors combine?
Series capacitors combine by reciprocal addition. The equivalent value is smaller than the smallest capacitor in that series chain.
Does voltage rating change capacitance?
The marked voltage rating does not define ideal capacitance. Real capacitance can change with applied voltage, especially in some ceramic capacitors.
Can I use this for supercapacitors?
Yes. Select farads as the output unit. Also check leakage, maximum voltage, balancing needs, ESR, and surge current from the data sheet.