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

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Presentation transcript:

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 + + + + + + - - - - - - - Battery ε C This is true only for thus particular circuit! For complicate circuit, use Thevenin

Charging a Capacitor t t i v(t) e e/R 0.63 e/R 0.63e t=RC=t t=RC=t 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

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

Example Remember Demo determined by RC const.

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