L14 first.pptx

# R dil r r il is dt l l volt current l flux volt

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Unformatted text preview: + iR is = iL + is = iL + v R 1 ⎡ diL ⎤ L R ⎢ dt ⎥ ⎣ ⎦ diL R R + iL = is dt L L The circuit diﬀeren;al equa;on in terms of iL Check Dimensions! R= diL R R + iL = is dt L L Volt current L= flux volt ⋅ time = current current L volt ⋅ time current = ⋅ = time R current volt Deﬁne: Note: L = τ R Circuit ;me constant! L =τ =s R 3 3/12/14 vR (t ) b) RC Circuit iR (t ) KVL: vs = vc + vR ic = iR R vs (t ) C vc (t ) ic (t ) vs = vc + ic R ⎡ dv ⎤ vs = vc + R ⎢C c ⎥ ⎣ dt ⎦ dvc 1 1 + vc = vs dt RC RC The circuit diﬀeren;al equa;on in terms of vc Check Dimensions! R= Volt current RC = Deﬁne: Note: dvc 1 1 + vc = vs dt RC RC C= ch arg e current ⋅ time = volt volt volt current ⋅ time ⋅ = time current volt RC = τ Circuit ;me constant! RC = τ = s 4 3/12/14 Step Response of ﬁrst order circuits Sudden application or variation of a DC sources. Initial energy stored within capacitor is deﬁned in terms of initia...
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## This document was uploaded on 03/16/2014 for the course EEL 3004C at University of Central Florida.

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