Home Back

Calculate Capacitor Charge Time

Capacitor Charge Time Formula:

\[ Time = R \times C \times \ln\left(\frac{Vs}{Vs - Vc}\right) \]

ohms (Ω)
farads (F)
volts (V)
volts (V)

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Capacitor Charge Time?

The capacitor charge time is the time required for a capacitor to charge to a specific voltage level through a resistor in an RC circuit. This is a fundamental concept in electronics that describes how capacitors behave in timing circuits.

2. How Does the Calculator Work?

The calculator uses the capacitor charge time formula:

\[ Time = R \times C \times \ln\left(\frac{Vs}{Vs - Vc}\right) \]

Where:

Explanation: The formula calculates the time required for a capacitor to charge to a specific voltage (Vc) when connected to a voltage source (Vs) through a resistor (R).

3. Importance of Charge Time Calculation

Details: Understanding capacitor charge time is essential for designing timing circuits, filters, power supplies, and many other electronic applications where precise timing is required.

4. Using the Calculator

Tips: Enter resistance in ohms, capacitance in farads (1μF = 0.000001F), supply voltage in volts, and desired capacitor voltage in volts. The capacitor voltage must be less than the supply voltage.

5. Frequently Asked Questions (FAQ)

Q1: What is the time constant (τ) of an RC circuit?
A: The time constant (τ = R×C) is the time required to charge the capacitor to about 63.2% of the supply voltage.

Q2: How long does it take to fully charge a capacitor?
A: In theory, a capacitor never fully charges, but in practice, it's considered fully charged after about 5 time constants (5τ), reaching 99.3% of the supply voltage.

Q3: What happens if Vc equals Vs?
A: The formula would require calculating ln(Vs/0) which is undefined (infinite). In reality, the capacitor asymptotically approaches the supply voltage but never reaches it.

Q4: Can I use this for discharging calculations?
A: Yes, the discharge formula is similar but uses ln(V0/Vc) where V0 is the initial voltage.

Q5: What are practical applications of this calculation?
A: Used in designing flash circuits, power-on reset circuits, timing circuits, debounce circuits, and analog filters.

Capacitor Charge Time Calculator© - All Rights Reserved 2025