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τ = RC; Vcharge(t) = Vin(1−exp(−t/τ)); Vdischarge(t) = Vin exp(−t/τ)
Calculate τ = RC, capacitor voltage and current versus time. Compare one and five time constants for ideal charging and discharging circuits.
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Use τ = RC; Vcharge = Vin(1−e^(−t/τ)); Vdischarge = Vin e^(−t/τ). Calculate τ = RC, capacitor voltage and current versus time. Compare one and five time constants for ideal charging and discharging circuits.
Sources: openstax.org [1]
τ = 1 ms; Vcharge ≈ 3.160603 V; Vdischarge ≈ 1.839397 V. This is a calculated example under the model stated above; it is not a measured component specification.
Ω, F, s, V, A. Convert prefixes before substituting values; keep the input and output units attached to every number.
Sources: openstax.org [1]
An ideal RC reaches about 99.326% of final voltage after 5τ; discharge retains about 0.674%. This is a useful approximation, not exactly 100% or 0%.
Sources: openstax.org [1]
The exponential approaches zero asymptotically. Choose a positive target voltage and verify the real voltage before handling a charged circuit.
Sources: openstax.org [1]
Use the equivalent resistance seen by the capacitor for the relevant circuit state. Source resistance and parallel loads may change it.
Sources: openstax.org [1]
Answers use the stated model and units. Examples are calculated values, not measurements or component ratings.
