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Transient Analysis

Transient Analysis. Transient: transition region between two steady state, e.g. edges of square wave. Very important in digital circuit: delay. Motivation. The Capacitor Effect. + + + + + +. - - - - - - -. Charging and discharging a capacitor. R. Battery ε. C.

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Transient Analysis

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  1. Transient Analysis • Transient: transition region between two steady state, e.g. edges of square wave. • Very important in digital circuit: delay.

  2. Motivation

  3. The Capacitor Effect

  4. + + + + + + - - - - - - - Charging and discharging a capacitor R Battery ε C This is true only for thus particular circuit! For complicate circuit, use Thevenin

  5. i v(t) e e/R 0.63e 0.63 e/R t t t=RC=t t=RC=t Charging a Capacitor Time constant (t): time needs to charge a capacitor to 63% of its full charge. The larger the RC, the longer it takes to charge a capacitor. The larger the R value, the smaller the current is in the circuit. The larger the C value, the more the charge the capacitor can hold

  6. i=0 i ++++ ++++ Vc=e Vc=e e e vC(t) ---- ---- t = 0 e t Discharging a Capacitor

  7. Example Remember Demo determined by RC const.

  8. (a) (b) (c) Concept Check: RC circuit Charging Capacitors Which configuration has the largest final charge on the capacitor? Which capacitor charges faster? Answers: (1) same; (2) (b)

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