Practical settling time

Tags

• Electronics
• physics
• Electronics formula
• physics formula
• Transients
• First-order transients

Detail

Variables

• $v(t),v_0,v_\infty$voltages (V)
• $i(t),i_0,i_\infty$currents (A)
• $\tau$time constant (s)
• $t$time (s)
• $R,C,L$Ω, F, H.

Conditions

• Piecewise-constant linear first-order circuit; τ>0.

Conventions

• V, A or s according to the left-hand side

Related formulas

• Related

  Value at one time constant

  $$x_{\mathrm{subida}}(\tau)=0.632x_\infty,\qquad x_{\mathrm{caída}}(\tau)=0.368x_0$$
  Open formulaOpen in section

• Related

  Capacitor initial condition

  $$v_C(0^+)=v_C(0^-)$$
  Open formulaOpen in section

• Related

  RC time constant

  $$\tau=RC$$
  Open formulaOpen in section

• Related

  RL time constant

  $$\tau=\frac{L}{R}$$
  Open formulaOpen in section