Lecture 6 Capacitor and Inductor

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Unformatted text preview: s of current:! ! ! ! !"!!! ! !" ! ! !!! !"! !" !! !! ! !! !! ! ! !! ! ! ! !!!!" ! ! !!!!" ! !!!!! ! !! !! ! ! Assuming voltage across capacitor at t = -∞ is 0 and v(0) is ! ! the conductor at t = 0 the voltage through !! ! !!" ! !!!"#! !!!"# ! !! !! ! !! ! !! !! ! ! !! ! !!" ! !!!"# ! !! ! !!"7 ! !!!"# ! ! ! !! !! !! !! !! ! !! ! !! !! !! ! !! !! Capacitor (Cont.) •  Current does not pass capacitor easily at low frequency (AC circuit) •  Current passes capacitor more easily at higher frequency (AC circuit) •  Capacitors connected in parallel resemble resistors in series 8 !! ! ! !" ! !" !! !" ! !" ! !! ! ! ! !" Capacitor (Cont.) ! •  Connected !parallel:in !! ! !! ! ! ! ! !" ! !" ! ! !"! !! !" !! ! !! !! ! ! !! ! ! !"# ! !"# ! ! !!!! ! !! !! ! •  Using Kirchhoff's current law, ! !! ! ! !! ! ! !! ! ! ! ! !! ! ! ! ! 9 !! !! !!!"# ! !!!!" ! !!!!" ! !!!!!!! !! !! !! ! !! ! ! !! ! ! !! ! ! ! ! !! ! ! !! ! Capacitor ! ! ! !! ! ! ! !! ! ! !! ! (Cont.) ! ! ! ! !" !!! ! ! Since !!!"# !! !! ! ! !"!!!!! ! ! !! ! ! ! ! !! ! ! !!" ! ! ! !! !!"# ! !" ! ! ! ! !"!!!!"!!!! !"!!!! !!!! ! !"! ! ! ! !"!!!!!!!! !"! Therefore, ! ! !! !"!! !! ! !! ! ! !! !! !! !! !! ! !!!"# ! !! !!"! ! !" !" ! ! !" !" ! !" !" !"!!!"!!!! !! ! ! !! !!! ! !"! !!!"!"!!!!! !! !"!!!! ! ! ! ! !" ! !!"!# !"!! !"!#!! ! !" !"! ! !! !"!!!!! !! ! ! !! !! ! !&quo...
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## This document was uploaded on 01/21/2014.

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