ECE201_21_Jung

# ECE201_21_Jung - Announcements ECE 201 Lecture 21...

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Unformatted text preview: Announcements ECE 201 Lecture 21 Discontinuity and Waveform Generation • Last Lecture #20: – Response classification and Linearity • This Lecture #21: – Discontinuity and Waveform generation Important Formula of 1 st Order Circuits The currents and voltages in a 1st order circuit are of the form Initial value at time t Final value of x Time constant When x is i L or v C , there is no jump at time t For other currents or voltage, a jump (or discontinuity ) is possible Response Classification • Zero input response: response of a circuit to the initial condition when the input from independent sources is zero. • Zero state response: response of a circuit to the input from independent sources when the initial condition is set to zero. • Full response = zero input response + zero state response Valid for any current & voltage An example of Discontinuity 3 (0 ) ( 18) 6 3 6 C v V- = - × = - + (0 ) (0 ) C C v v +- = V in (t) 6 k Ω 3 k Ω 0.5 mF 2 k Ω i in (t) i C (t) Find i in (t) for t >0 Let’s find υ C (t) first → find i C (t) This holds true for v (t) ( or i (t)) , but not for other quantities such a i (t) , v (t), or i (t) in general.in general....
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ECE201_21_Jung - Announcements ECE 201 Lecture 21...

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