Capacitor Charge and Time Constant Calculation, Formula, Example

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Capacitor Charge and Time Constant Calculator
Capacitor Charge and Time Constant Calculator

Capacitor Charge and Time Constant Calculator

This calculator is designed to compute for the value of the energy stored in a capacitor given its capacitance value and the voltage across it. The time constant can also be computed if a resistance value is given. Note that the input capacitance must be in microfarads (μF).

The time constant of a resistor-capacitor series combination is defined as the time it takes for the capacitor to deplete 36.8% (for a discharging circuit) of its charge or the time it takes to reach 63.2% (for a charging circuit) of its maximum charge capacity given that it has no initial charge. The time constant also defines the response of the circuit to a step (or constant) voltage input. Consequently, the cutoff frequency of the circuit is defined by the time constant.

Diagram:

Capacitor Charge and Time Constant Calculator
Capacitor Charge and Time Constant Calculator

Formula:

Where:

= Applied voltage to the capacitor (volts)

= Capacitance (farads)

= Resistance (ohms)

= Time constant (seconds)

Example:

Example 1

Let’s consider capacitance C as 1000 microfarad and voltage V as 10 volts.

Let’s apply formula

E=CV2/2

E= 1000*102 /2

E= 0.0500 joules

Example 2

Let’s consider capacitance C as 2000 microfarad and reactance R as 10000 ohms.

Let’s apply formula

τ=RC

 τ = 2000*10000

 τ = 20 seconds

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