Electricity & Magnetism

RC Time Constant

τ=RC\tau = RC

Time constant for RC circuit charging/discharging.

Variables

τ
Time constant
Characteristic time
s
R
Resistance
Circuit resistance
Ω
C
Capacitance
Circuit capacitance
F

Derivation

From differential equation: V(t) = V₀e^(-t/RC).

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Common questions

What is the RC Time Constant formula?

RC Time Constant is written τ= RC. Time constant for RC circuit charging/discharging. It belongs to Electricity & Magnetism, under Capacitance.

What are the units in τ= RC?

In SI units, τ is time constant, measured in s; R is resistance, measured in kg·m²/(A²·s³); C is capacitance, measured in A²·s⁴/(kg·m²).

How is the RC Time Constant formula derived?

From differential equation: V(t) = V₀e^(-t/RC). The result is τ= RC.