C20-activities - ACTIVITY 20-1 1 k ACTIVITY 20-1 1 k vin =...

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1 ACTIVITY 20-1 in v5 u ( t ) = 1 k Ω 1 F μ C v + First Order Circuit Switched DC Input 0 (t t )/ C CSS C0 CSS v( t ) v (v v ) e τ −− =+− C0 v0 V = CSS V = t C t ) 5 ( 1 e ) t 0 =− RC 1 msec == ACTIVITY 20-1 in u ( t ) = 1 k Ω 1 F C v + Ci n Find Differential Equation Relating v (t) to v ACTIVITY 20-1 in u ( t ) = 1 k Ω 1 F C v + CR i n vv v += R v +− R vi R = C dv iC dt = i C n dv vR C v dt CC in dv v v dt RC RC C 0) 0 + = ACTIVITY 20-1 in dv v v dt RC RC dv v 5u(t) dt RC RC LL ⎧⎫⎧⎫ ⎬⎨ ⎩⎭ in u ( t ) = () C V( s ) 51 sV (s) v (0 ) RC RC s −+ = C 0 s ) 5 sV (s) v RC sRC = Algebraic Equation ACTIVITY 20-1 C 0 s ) 5 sV (s) v RC sRC = 0 15 s ) s v RC sRC ⎛⎞ +=+ ⎜⎟ ⎝⎠ C0 C v 5RC s ) s s 1RC s 1RC =+ ++ ACTIVITY 20-1 C0 C v s ) 12 AA ss 1RC s 1 s0 A5 s1R C = = = + 2 1 s RC s =
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2 ACTIVITY 20-1 () C0 C v 55 V( s ) s s 1RC s 1RC =+ + ++ tRC CC 0 v( t ) 5 5 e v e −− =− + 0 t ) 5 (v 5 ) e C0 v0 ; R C τ == t C v (t) 5(1 e ) volts t 0 Same as Before ACTIVITY 20-2 1 Ω 4 Ω 2 H 1 F 10 C v + in t ) in v = { 5 V for t 0 5 V for t 0 +< −≥ C C Find I(s), V (s) You do Not have to find i(t), v (t) (e.g. if you like, use Maple or other methods)
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This note was uploaded on 10/21/2010 for the course ECSE 2010 taught by Professor Millard during the Spring '08 term at Rensselaer Polytechnic Institute.

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C20-activities - ACTIVITY 20-1 1 k ACTIVITY 20-1 1 k vin =...

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