Core Links Engineering CalculatorsHPに戻るCompany home

ENGINEERING CALCULATORS

RC charging and discharging calculator

Engineering calculators (Beta)

Specify initial and final voltage to find time constant, voltage and current after elapsed time.

Inputs

Choose units and enter numbers. Full-width digits and fractions such as 1/8 or 1 3/8 are accepted. Changing a unit converts the entered value.

Results

Reference calculation only. Results do not certify suitability for an actual design or its safety.

Diagram

Inputs: select a blue symbol to edit Results: red-orange values and lines

Formula and applicability

τ=RC; V(t)=Vs+(V0−Vs)e^(−t/τ); I=(Vs−V)/R; t90=ln(10)τ.

Displayed values are rounded. Diagrams illustrate the calculation conditions. Initial material and fluid properties are examples; replace them with values for the actual material, temperature and conditions.

Reference
Using this information as a reference

Equations assume particular loads, supports and deformation ranges. Check inputs, units and the applicability of each equation. Diagrams explain conditions; they are not manufacturing drawings or proof of safety.

Material values are typical values or reference ranges, not certified product properties or ready-to-use design allowables. They vary with standards, product form, dimensions, temper and temperature. Check the specifications and inspection certificates for the actual product.

Displayed safety factors and checks apply only to the supplied inputs and calculation model. They do not automatically establish the safety of a complete design, including code compliance, service life, fatigue or joints. For actual design, manufacture and use, separately verify applicable regulations and standards, product specifications, and the necessary tests and engineering review.

この計算で求められること

初期電圧と最終電圧を指定し、時定数・経過後の電圧と電流を求めます。

入力・結果・適用条件を確認する

選択した形状・計算方法により、使う項目は変わります。実際の計算は上の図と入力欄で行えます。

主な入力

  • 直列の合成抵抗 R (Ω / kΩ / µΩ)
  • 静電容量 C (µF / nF / pF)
  • コンデンサーの初期電圧 V0 (V / kV / µV)
  • 接続先の一定電圧 Vs(放電は0) (V / kV / µV)
  • 接続してからの時間 t (s / min / µs)

得られる結果

  • 時間t後のコンデンサー電圧 (V)
  • 時間t後の電流(電源→Cが正) (A)
  • 時定数 τ (s)
  • 初期との差が90%変化する時間 (s)
  • 時間t後の蓄積エネルギー (J)

計算式の概要

τ=RC; V(t)=Vs+(V0−Vs)e^(−t/τ); I=(Vs−V)/R; t90=ln(10)τ.

理想コンデンサー・一定直列抵抗・理想直流電源の一次応答です。Rは電源抵抗を含む合計値。ESR、漏れ、誘電吸収、耐電圧、抵抗発熱、感電防止や実回路の安全性は判定しません。

現在選択中の方法には、操作欄の「計算式・適用条件」を使ってください。参考計算であり、設計全体の安全性を保証するものではありません。

関連する計算

What this calculator does

Specify initial and final voltage to find time constant, voltage and current after elapsed time.

Inputs, outputs and applicability

The selected model determines which of these inputs and outputs apply. Use the working diagram and input panel above to calculate.

Inputs

  • Total series resistance R (Ω / kΩ / µΩ)
  • Capacitance C (µF / nF / pF)
  • Initial capacitor voltage V0 (V / kV / µV)
  • Final source voltage Vs (0 for discharge) (V / kV / µV)
  • Elapsed time t (s / min / µs)

Calculated results

  • Capacitor voltage at t (V)
  • Current at t (source to capacitor positive) (A)
  • Time constant τ (s)
  • Time for 90% of initial-to-final change (s)
  • Stored energy at t (J)

Formula overview

τ=RC; V(t)=Vs+(V0−Vs)e^(−t/τ); I=(Vs−V)/R; t90=ln(10)τ.

First-order response with ideal capacitor, constant series resistance and ideal DC source. R includes source resistance. ESR, leakage, dielectric absorption, voltage ratings, resistor heating, shock prevention and circuit safety are not assessed.

The displayed formula and conditions in the working panel apply to the currently selected model. Reference calculation only; it does not certify a complete design.

Related tools