Prof : AZIZ HALIBPage 363102 / 3103 (.).... : : C . Q . : A B BQ 0 . A A BQ=-Q . A :A BQ=Q=-Q i q t i q . i q :dqi =dt. C cu :cq=C.u . :CQ=C.U .CU Q CU . C F Q C .-3 -6-9 -121mF=10F 1 F=10F1nF=10F1pF=10 F Prof : AZIZ HALIBPage 373102 / 3103 ABU . :1 2 3Q=Q =Q=Q . :AB 1 2 2U =U +U+U | | |\ .=AB 1 2 21 2 31 2 31 2 3qU = U+U+UQ Q Q= + +C C C1 1 1=Q. + +C C CQC q 1 2 31 1 1 1= + +C C C C. : n qC nq ii=11 1=C C. . c ) . U . :1 1Q =C.U2 2Q=C .U 3 3Q=C .U . A B :t 1 2 3Q =Q +Q +Q( )t 1 2 31 2 3qQ=C.U+C .U+C .U=U. C +C+C=U.C =q 1 2 3C C +C +C . : n qC nq ii=1C = C . . RC RC C R .1 ) RC : t 0 u(t) =E . ( ) RC K .K RC E . Prof : AZIZ HALIBPage 383102 / 3103 . t =0 . a ) :R C+ u u=E R CCu =R.iu .C=qdqdui = i =C.dt dt C CC Cdu duRC. +u =E . +u =Edt dt : =RC . CCdu. +u =Edt :-tcu=Ae +B A B . B-tcu=Ae +B -tcdu=-Aedt :( )( )| | |\ .-t -t-t -t-t -t-t-RCAe +Ae +B=E1 E-Ae + Ae +B=RC RCA B E-Ae + Ae + =RC RC RC1 E- BAe -+ =RC RC t = A 0 :1-+ =0RC E-B=0 1 1 = =RC E=B . A cu=0 .-tc0u= Ae +B0 = Ae+BA=-B=-E :| | | | ||\ . \ .t t- - c cmaxu (t) =E1-e =U 1-e =cmaxU E ( ) t . cu=f(t) cu (t) cu (t) cu (t) E . | | |\ .t-cu (t) =E1-e CCduRC. +u =Edt.| | | |= + = ||\ . \ .t t- - CCduERC. +u RC. e E1-e Edt =RC .b ) R C+ u u=ERu =R.i Cq=C.u dqi =dt Cqu =CRdqu =R.dt :dq q dq qER. + =E + =dt C dt RC R CCduRC. +u =Edt| | |\ .t-cu (t) =E1-e = C Cqu q=C.uC | | |\ .t-q =E1-eC| | | | = ||\ . \ .t t- - maxq(t) =CE1-e q(t) Q 1-e =maxQ CE ( ) t .c ) Prof : AZIZ HALIBPage 393102 / 3103 . | | |\ .R CR Ct-t-+ u u =Eu =E- uR.i(t) =E- E1- eEi(t) = eR | | |\ .Ct-t t- - dqdui(t) = =C.dt dtd=C. E1- edt1 E=C.E. e = .e R d ) . RRuR= u =R.ii | || || |UR=I. | | | | || dqQ=I. T dq=i.dt i =dt ||| || || | ||| | CRQ I. T qC= = C= q=C.uU U u | | | | ||| || | | | ||| |||U I. TRC=R. C= . =TI U =RC . Cu=f(t) t =0 CU=E . Cu=0,63E . t = :( )| | | | ||\ . \ .--1ce-1u () =E1-e =E1-e = E=0,63Ee Cu=0,63E .2 ) RC : u(t) =E t 0 RC K . K cmaxU =E E . a ) R C+ u u=0 R CCu =R.iu .C=qdqdui = i =C.dt dtC CC Cdu duRC. +u =0 . +u =0dt dt CCdu. +u =0dt :-tcu=Ae +B B=0A=E 1 =RC. t-cu=E.e =RC . :- cu : : cu . t 5 cu E . =RC . t t 5 . cu t-cu=E.e . t = :--1cu () =E.e =E.e =0, 37E . 0, 37E . . cu=f(t) t =0 . R C+ u u=0 Ru =R.i dqi =dt Cqu =CRdqu =R.dt dq q dq qR. + =0 + =0dt C dt RC. CCduRC. +u =0dtt-cu=E.e .= C Cqu q=C.uC t-q =E.eC :t t- - maxq(t) =CE.e =Q .e . R CR Ct-t-+ u u =0u =-uR.i(t) =-EeEi(t) =- eR Ct-t t- - dqdui(t) = =C.dt dtd=C. Eedt1 E=C.E. e =- .e R 0 maxEI =I =R( t =0 ) .- i =f(t) : =cmaxU E c maxu () =0,63Uc maxu () =0, 37U=maxQ CE maxq(t) =0,63Qmaxq(t) =0,37QmaxEI =Rmaxi() =0,63Imaxi() =0, 37Io . 1 2 www.maths-physique.com