Capacitor Calculator — Free Capacitance, Charge & Energy Tool | AllInOneTools
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Capacitor Calculator

Calculate capacitance, charge, energy, reactance, and RC time constant. Interactive charge/discharge curve with series and parallel combinations and unit conversions.

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Capacitor Calculator: How to Calculate Capacitance, Charge, Energy, and Reactance

Capacitors are one of the three fundamental passive electronic components (along with resistors and inductors). They store energy in an electric field between two conductive plates separated by a dielectric material. From tiny 1pF ceramic capacitors in RF circuits to massive 10,000µF electrolytic capacitors in power supplies, understanding capacitor calculations is essential for any electronics work.

Core Capacitor Formulas

Charge: Q = C × V (coulombs)
Energy: E = ½ × C × V² (joules)
Reactance: Xc = 1 ÷ (2πfC) (ohms)
RC Time Constant: τ = R × C (seconds)
Parallel: C_total = C1 + C2 + C3...
Series: 1/C_total = 1/C1 + 1/C2 + 1/C3...
Worked Example — 100µF at 12V
Charge: Q = 100×10⁻⁶ × 12 = 1.2 mC (milliCoulombs)
Energy: E = 0.5 × 100×10⁻⁶ × 144 = 7.2 mJ (milliJoules)
Reactance at 60Hz: Xc = 1 ÷ (2π × 60 × 100×10⁻⁶) = 26.5 Ω
With 10kΩ resistor: τ = 10,000 × 100×10⁻⁶ = 1.0 second

Capacitor Types and Applications

TypeRangePolarizedBest For
Electrolytic (Al)0.1–10,000 µFYesPower supply filtering
Ceramic (MLCC)1 pF – 100 µFNoBypass, decoupling, RF
Film1 nF – 100 µFNoAudio, timing, precision
Tantalum0.1–1,000 µFYesCompact SMD, stable
Supercapacitor0.1–3,000 FYesEnergy storage, backup
Mica1 pF – 10 nFNoHigh-frequency, precision

RC Time Constant and Charge Curve

When a capacitor charges through a resistor, it follows an exponential curve. The time constant τ = R × C is the time to reach 63.2% of supply voltage. Key milestones: at 1τ = 63.2%, 2τ = 86.5%, 3τ = 95.0%, 4τ = 98.2%, 5τ = 99.3% (considered "fully charged"). The discharge curve is the mirror image — at 1τ, voltage drops to 36.8% of initial value.

Capacitor Unit Conversions

Capacitance spans an enormous range — from picofarads (10⁻¹² F) in radio circuits to thousands of farads in supercapacitors. The conversion chain: 1 F = 1,000 mF = 1,000,000 µF = 10⁹ nF = 10¹² pF. Most common values: electrolytic capacitors in µF (10–10,000), ceramic capacitors in nF or pF (10pF–100nF), and film capacitors in nF to µF range.

Frequently Asked Questions

How do you calculate capacitor charge and energy?
Charge: Q = C × V. Energy: E = ½CV². Example: 100µF at 12V: Q = 0.0001 × 12 = 1.2 mC, Energy = 0.5 × 0.0001 × 144 = 7.2 mJ. Larger capacitors and higher voltages store more energy quadratically (doubling voltage quadruples energy).
How do you calculate capacitive reactance?
Xc = 1 ÷ (2πfC). Example: 10µF at 60Hz = 265.3Ω. Higher frequency = lower reactance (capacitors pass high frequencies, block low). At DC (0 Hz), Xc is infinite — capacitor blocks DC completely.
What is RC time constant?
τ = R × C seconds. Time to reach 63.2% charge (or 36.8% discharge). After 5τ, capacitor is 99.3% charged (considered full). Example: 10kΩ + 100µF = 1 second. Full charge ≈ 5 seconds.
How do capacitors combine in series and parallel?
Parallel: C_total = C1 + C2 + C3 (capacitances add). Series: 1/C_total = 1/C1 + 1/C2 + 1/C3 (reciprocal sum). Note: this is opposite to resistors! Parallel increases capacitance; series decreases it but increases voltage rating.
How to convert F, µF, nF, pF?
1 F = 10⁶ µF = 10⁹ nF = 10¹² pF. Common: 1 µF = 1,000 nF = 1,000,000 pF. 1 nF = 1,000 pF = 0.001 µF. Electrolytic = µF range, ceramic = nF/pF range.
What capacitor for power supply filtering?
C = I ÷ (2 × f × Vripple). Example: 1A load, 60Hz, 1V ripple → 8,333µF → use 10,000µF electrolytic. Voltage rating ≥ 1.5× peak voltage. Add a small 0.1µF ceramic in parallel for high-frequency noise filtering.
What are the different capacitor types?
Electrolytic (µF, polarized, power filtering), Ceramic (pF-µF, non-polarized, bypass/decoupling), Film (nF-µF, precision, audio), Tantalum (µF, compact, stable), Supercap (Farads, energy storage). Ceramic is most common in electronics.