R-L R-C

  1. .
  2. Electronics Workbench
  3. .

, R L .

,

u = u(t) - . , .. u = 0, i = Iept . p

image272.gif.

Lp + R=0 , pk, k - .

, R-L

image273.gif

(1)

t = 1/|p| = L/R - ; I - , ; i - , R L u.

, t , L R.


stp_2_1.gif

R-L E (. 1 )).

E R, .. i = const uL = Ldi/dt = 0, .. i = E/R .

(1)

image274.gif.

I . , .. , , .

image275.gif.

I ,

image276.gif.

(2)

uR uL

(3)

(1)-(3) , t = L/R E/R (. 1 )). uR . uL E , (. 1 )).

(3) ,

image278.gif.


stp_2_2.gif

R-L E, (. 2 )).

. (1)

image279.gif.

I . S i(0- ) = E/R, .. , i(0- ) =i(0+) = I = E/R .

(4)

(4) , E/R t = L/R (. 2 )). , - E, ( . 2)).

image281.gif,

, .


stp_2_3.gif

. R-L E (. 3).

, S R-L-V . i(0- ) = E/R = i(0+) = i(0)

Ri + RVi + uL = 0,

RV - .

uV = RV i(0) = ERV/R uV = (R+RV)i(0) = E(1+RV/R).

RV>>R , RV/R . . , . , .


stp_2_4.gif

R-L (. 4 )).

(1)

image273.gif.

(5)

i

image282.gif,

(6)

y - , j = arctg(w L/R) .

, (5) (6) I

image283.gif,

,

image284.gif.

(7)

, - , t = L/R (. 4 )). , .

Imsin(y - j ) y . y = j +(k+1/2)p (k = 0, 1, 2 ) (. 4 )) , Imax=Im[1+e- p t/(w t )]. e- p t/(w t )<1, . w t . w / t Imax 2.

y = j + kp (k = 0, 1, 2 ) . . . , , .


R C.

Ri + uC = u.

i = CduC/dt.

image285.gif.

uC = u + u. (u = 0) u = Uept. p

image286.gif

RCp + 1 = 0 , pk, k - .

uC = u + u= u + Ue- t/t ,

(8)

U - , ; t = 1/|p| = RC - .


stp_2_5.gif

R-C E (. 5 )).

, . U0 .

S E, .. duC/dt = 0 i = CduC/dt = 0, uC = u - Ri = E - Ri = E. (8)

uC = u + u= E + Ue- t/t .

(9)

uC(0- ) = U0 ( + . 5 ) ). (9) U

image287.gif,

image288.gif,

(10)

t = RC - .

image289.gif.

(11)

. 5 )-) R-C : 1) E > U0 > 0 ; 2) E < U0 U0 > 0; 3) U0 < 0 U0 E. E U0, . , E < U0, R , .. .


(. 1 )). S C R.

uC = u= Ue- t/t

, E. U

uC(0- ) = E = uC(0+) = U,

-

uC = Ee- t/t .

(12)

.

(13)


( 20 )

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