Capacitor Lifetime Calculator
Predict how long your capacitors will actually live using the 10 °C Arrhenius rule, ripple current acceleration and voltage derating. Input rated lifetime from the datasheet, ambient temperature, ripple ratio and voltage ratio — output hours and years.
Capacitor Lifetime Estimate
2^(ΔT/10) Arrhenius + ripple & voltage acceleration. Outputs hours and years.
T_eff = T_ambient + self-heat ≈ 42.5 °C
Rule of thumb: life halves for every 10 °C above rated. Running at 25 °C below rated temp roughly doubles life.
📌 Main formula.L = L₀ × 2^((T_rated − T_eff)/10) × (I_ratio)^-1.6 × (V_ratio)^-6 · T_eff ≈ T_ambient + self-heat from ripple (~rRatio² × 10 °C heuristic).
Derating Cheat Sheet — Four Questions To Size Capacitor For Your Life
Derating does not mean making the capacitor bigger — it means sizing it to the stress it will actually see. Answer four questions to pick the right capacitor for the lifetime you need. The calculator above quantifies each factor.
Q1 — Where will this capacitor live?
- Inside a sealed box with other ICs → ambient = 50 °C + self-heating
- Open board, natural convection → ambient = 30–40 °C
- Enclosed industrial cabinet → ambient = 45–60 °C
- Automotive under-hood → ambient = 85–105 °C
Q2 — How much ripple current will it see?
- < 10% of rated → no derating needed
- 10–50% of rated → mild derating, check ESR heating
- 50–80% of rated → significant heating, parallel caps or derate ambient temp
- > 80% of rated → switch to higher-rated part or add detuned reactor
Q3 — What voltage are you applying?
- < 50% of rated → safe, mild aging acceleration
- 50–80% of rated → standard, add 1.2× safety margin
- > 80% of rated → aggressive, risk of corona/electrolyte leakage, use 1.5× safety margin
Q4 — What lifetime do you need?
- 2000 h (consumer electronics) → any 105 °C part is fine
- 10000 h (appliance, lighting) → need long-life or operate at 70 °C effective
- 50000 h (industrial, automotive) → polymer or film, keep below 60 °C
- 100000 h+ (medical, aerospace) → derate voltage 50%, keep T effective < 55 °C
Typical Rated Lifetimes By Capacitor Family
Manufacturers define rated lifetime at their maximum rated temperature with rated ripple current applied continuously. Use these as your L₀ starting point — the calculator then accelerates or decelerates from there based on your actual operating conditions.
| Capacitor Family | Rated Temp | Rated Life | Note |
|---|---|---|---|
| Aluminum electrolytic (general purpose) | 105 °C | 2000 h | 105 °C / 2000 h industry default |
| Aluminum electrolytic (long-life) | 105 °C | 5000 h | Premium, used in power supplies |
| Aluminum electrolytic (125 °C) | 125 °C | 3000 h | Automotive-grade |
| Aluminum polymer | 105 °C | 2000 h | ESR drift < 10% over life |
| Tantalum (MnO₂) | 125 °C | 2000 h | Solid tantalum, lower derating |
| Film (polypropylene) | 85 °C | 50000 h | Very long life, used in PFC banks |
| Ceramic (MLCC) | 125 °C | 100000 h+ | Fatigue-limited, not temperature-limited |
| Supercapacitor | 65 °C | 10000 h | Voltage derating critical |
Lifetime Engineering FAQ
Why does capacitor life double for every 10 °C below rated?▼
It is the Arrhenius rule applied to electrochemical degradation. The rate of electrolyte evaporation, plate oxidation and self-healing increases exponentially with temperature, roughly doubling every 10 °C — the same physics as chemical reaction rates in general. Manufacturers calibrate their lifetime numbers to this rule: a 105 °C / 2000 h part delivers about 4000 h at 95 °C, 8000 h at 85 °C, and so on — until other failure modes (leakage current rise, capacitance drift) begin to dominate.
How does ripple current shorten capacitor life?▼
Ripple current flows through ESR and dissipates heat — P = I² × ESR. That heat raises the capacitor's internal temperature above ambient, and the 10 °C rule kicks in. Even if ambient is 25 °C, 2 A RMS through 100 mΩ ESR heats the capacitor roughly 10 °C above ambient, cutting life in half. Manufacturers derate ripple current by frequency: the rating at 10 kHz is higher than at 1 kHz because skin effect means less plate area participates at low frequencies.
How does voltage affect capacitor life?▼
Higher voltage means higher electric field across the dielectric. Field strength accelerates ionic drift, corona discharge and self-healing events in solid dielectrics, and it raises leakage current exponentially. Aluminum electrolytic life scales roughly as V⁻⁶ — drop voltage to 80% of rated and life roughly triples. Tantalum and film capacitors show weaker dependency (V⁻³), ceramic MLCCs are fatigue-limited rather than voltage-limited for DC operation.
What does '2000 h at 105 °C' actually mean?▼
It means the capacitor will have fewer than 5% failures after 2000 hours of continuous operation at 105 °C case temperature and rated ripple current. If you run it at 55 °C, the 2^(ΔT/10) rule gives ΔT = 50, 2^5 = 32× acceleration factor, so expected life ≈ 2000 × 32 = 64 000 h ≈ 7.3 years. Note: 105 °C refers to the capacitor's own case temperature, not ambient — you must add self-heating from ripple current.
Do MLCCs follow the 10 °C rule?▼
Not really. Multi-layer ceramic capacitors age mostly from mechanical stress — temperature cycling causes the ceramic dielectric to crack, reducing capacitance over time. The rate of capacitance loss is roughly linear with number of temperature cycles, not exponential with absolute temperature. Most MLCC datasheets quote a maximum capacitance drift after 1000 temperature cycles, not a 'lifetime' number. Film capacitors age slowly too — 5% drift in 50 000 h at 85 °C is typical.
What is the Coffin-Manson law?▼
Originally a metals fatigue law that says cycles to failure ∝ (ΔT)^-n. Applied to capacitors, it becomes life ∝ I^-n where n ≈ 1.6 – 2.2 for aluminum electrolytics, relating ripple current derating to lifetime. It is empirical but well supported by accelerated testing. For our calculator we use n = 1.6 as a middle value — your datasheet may have a more specific value for their part.
Related Capacitor Calculators
Cylindrical & Spherical
Calculate capacitance of coaxial cylindrical and concentric ...
Speaker Crossover Cap
Compute series capacitor (tweeter high-pass) and parallel in...
DC Link Capacitor
Size DC bus capacitors for 3-phase inverters, VFDs and motor...
Capacitor Lifetime
Estimate capacitor life from rated lifetime (e.g. 105°C/2000...
ESR & Ripple Current
Compute equivalent series resistance from tanδ/DF/Q, dissipa...
PFC & Capacitor Bank
Size kvar compensation for industrial power factor correctio...
Cap Voltage Divider
Split voltage across 2–4 series capacitors instantly: Vn = Q...
Power Supply Cap
Size rectifier bulk, buck-converter output and hold-up capac...
LC Resonance
Get f₀ = 1/(2π√LC) for parallel or series LC tanks, plus Q f...
RC Filter Cap
Solve C = 1/(2πfR) for low-pass, high-pass, band-pass and no...
Coupling & Bypass
Size AC coupling, input/output, emitter and cathode bypass c...
Crystal Load Cap
Calculate C1 and C2 for a crystal oscillator: C = 2CL − Cstr...
Motor Capacitor Sizing
Size start and run capacitors for split-phase, cap-start, ca...
Capacitor Color Code
Decode 3-band, 4-band and 5-band capacitor color codes to pF...
Capacitive Reactance
Compute Xc in Ω/kΩ/MΩ from frequency and C, with parallel-R ...
Capacitor Charge
Calculate stored charge Q = CV in C, mC, µC, nC, pC from cap...
RC Time Constant
Get τ in seconds, ms, µs, ns from any R and C pair, plus the...
Capacitor Energy
Compute energy stored in any capacitor from E = ½CV² with li...
HVAC Capacitor Under Load
Test an HVAC run capacitor under load: enter amps, volts and...
Parallel Plate Capacitor
Compute capacitance from plate area, separation and dielectr...
Series & Parallel Capacitors
Combine up to 12 capacitors in series or parallel with per-c...
Capacitance Converter
Convert capacitance between pF, nF, µF, mF and F live, and t...