The formula

A capacitor charging or discharging through a resistor follows the time constant τ = R × C (seconds, with ohms and farads). After one τ it reaches about 63% of the final voltage; after five τ it's over 99% - effectively fully charged. The same pair also makes a simple filter with a cutoff frequency of f = 1 ÷ (2π × R × C).

Type values the way they're printed: 10k, 100n, 47u, 2.2u.

Worked example

10 kΩ with 100 µF gives τ = 10,000 × 0.0001 = 1 second: about 63% after 1 s and fully charged after 5 s. As a filter, 10 kΩ and 100 nF cut off at about 159 Hz.

In repair work

RC timing sets power-on delays, soft-start, reset circuits, relay and speaker-protection delays and oscillator frequencies. If an amplifier's speaker relay clicks in too late or never, or a supply starts slowly, a dried-out electrolytic capacitor in the timing network is a prime suspect - its capacitance falls, and so does the delay. Replacement capacitors are in our parts catalogue.

Questions

How long does a capacitor take to charge fully?
About five time constants (5 × R × C) to reach over 99% of the supply voltage.
How do I enter microfarads?
Type 47u (or 47µ) for 47 µF, 100n for 100 nF, 22p for 22 pF.

Repairing something?

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