Àwọn Àtòjọ-ìṣàmúlò-ètò

Chart the charge or discharge curve of an RC circuit with time constant and energy.

Àwọn Ìṣàmúlò-ètò

Ìjánu-ìṣàmúlò-ètò

Àwọn Ìṣàmúlò-ètò

µF

Àwọn ìṣàmúlò-ètò

Àkóónú àkójútó

Full charge (C) —

Ìgbà ìpamọ́ —

Àwọn àwọn ààtò àkókò —

Voltage nínú àkókò (V) —

Settling time 5τ (s) —

Àwọn Àtòjọ-ẹ̀yàn àwọn ìṣàmúlò-ètò

Ńlà àwọn àwọn ààtò àtòjọ-ẹ̀yàn yìí?

Àkóónú ìṣàmúlò-ètò yìí

Capacitor charge is the electric charge a capacitor holds in the field between its plates, Q = C × V in coulombs, and the energy stored is E = ½ × C × V² in joules, so doubling the voltage quadruples the stored energy. When you charge a capacitor through a series resistor, the voltage does not jump instantly — it rises along the curve V(t) = V × (1 − e^(−t/τ)); discharging, it falls along V(t) = V × e^(−t/τ). Both are governed by the time constant τ = R × C, the natural timescale of the RC circuit.

After one time constant the capacitor reaches about 63% of the supply voltage when charging (or falls to 37% when discharging); after 5τ it is within 1% of its final value and is treated as fully charged or discharged. For example, a 1,000 µF capacitor charged through a 1 kΩ resistor has τ = 1,000 × 10⁻⁶ × 1,000 = 1 second, so it is 63% charged after 1 s and essentially full after 5 s. At 5 V that same capacitor stores Q = 0.001 × 5 = 0.005 C and E = ½ × 0.001 × 25 = 0.0125 J.

Enter the supply voltage, capacitance and series resistance and the calculator returns the full charge, the stored energy, the time constant, the settling time (5τ), the voltage at a chosen instant, and the whole charge or discharge curve. These numbers are the everyday basis for RC timing circuits, power-supply smoothing, debounce delays, flash-photography energy storage and the turn-on delays in analogue electronics.

Àwọn Àtòjọ-ẹ̀yàn

Àwọn ààyè-iṣẹ́ àwọn ààyè-iṣẹ́

The time constant τ = R × C is the time to charge to about 63% of the supply voltage. After 5τ the capacitor is regarded as fully charged (>99%).

Ìgbà wo nínú àwọn ààyè-iṣẹ́ àwọn ààyè-iṣẹ́ náà?

Enerji ni E = ½ × C × V². A 1000 µF capacitor ni 5 V ile-iwosan ½ × 0.001 × 25 = 0.0125 joules.

Kini ìyatọ̀ laarin ìṣàmúlò-ètò náà àti ìṣàmúlò-ètò náà?

Charging rises toward the supply as V(1 − e^(−t/τ)); discharging falls from the starting voltage as V·e^(−t/τ). Both reach ~99% of the change after 5 time constants.

Ìgbà wo nínú àwọn ààtò àwọn ààtò àtòjọ-ẹ̀yàn náà?

Ìṣàmúlò-ètò náà ni Q = C × V nínú coulombs. A 1,000 µF capacitor nínú 5 V ní 0.001 × 5 = 0.005 C. Ìṣàmúlò-ètò nlà tabi vólẹ́ẹ̀tì tí o gà jù lọ nínú àwọn ààyè tí o ní.

Ìgbà wò nínú àwọn ààyè-iṣẹ́ àwọn ààyè-iṣẹ́

Ninu gbo, lẹhin awọn akoko mẹrin ti o pọju (5τ = 5RC) o wa ni inu ti 1% ti ifunni ati pe a ṣe itọju bi kikun. Pẹlu resistance 1 kΩ ati 1,000 µF capacitor τ jẹ 1 s, nitorinaa o jẹ pataki lati gba agbara lẹhin awọn aaya 5.

Ìpàdé wò nínú àwọn ìpéwọ̀n náà tí a bá dé sípò àwọn ìpéwọ̀n àkókò?

Charging reaches about 63% after 1τ, 86% after 2τ, 95% after 3τ, 98% after 4τ and 99% after 5τ. Discharging follows the mirror image: 37%, 14%, 5%, 2% and 1% remaining at the same points.

Kini idi ti o fi fi àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò pamọ́?

Àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn ìṣàmúlo

API — ló àwọn ìṣàmúlò-ètò yìí láti inú ìṣàmúlò-ètò

Fi àwọn ìṣàmúlò-ètò yìí kọ̀ǹpútà yìí láti jẹ́ ààyè-iṣẹ́ JSON tí a tí fi pamọ́ - kò ní bọ́tìnì kan tí a fẹ́. Fi àwọn fálù ààyè-iṣẹ́ sílẹ̀ sí bí àwọn àwọn ìṣàmúlò-ètò àti JSON. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Ka àwọn àkọlé API kíkún →

Àwọn Ààyè Ìjánu-ìṣàmúlò-ètò

GET https://calculator.free/api/v1/capacitor-charge/

curl

curl "https://calculator.free/api/v1/capacitor-charge/?mode=charge&voltage=5&capacitance=1000&resistance=1000"

JavaScript `fetch()`

const r = await fetch(
  "https://calculator.free/api/v1/capacitor-charge/?" + new URLSearchParams({
    "mode": "charge",
    "voltage": "5",
    "capacitance": "1000",
    "resistance": "1000"
  }));
const data = await r.json();
console.log(data.results);

Results are estimates for general guidance only, not financial, medical or tax advice.

Àkóónú ìṣàmúlò-ètò yìí

Àwọn Àtòjọ-ẹ̀yàn

Àwọn Ìṣàmúlò-ètò Ìṣàmúlò-ètò

Àwọn Ààyè Ìjánu-ìṣàmúlò-ètò

curl

JavaScript fetch()

JavaScript `fetch()`