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Ejercicios Resueltos de Circuitos RC


        EJERCICOS RESUELTOS DE CIRCUITOS RC




I (t=10s) = 4, 06    A

I (t=10s) =4, 06 A




                                       [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC




t=RC

t= =RC



a)

q (t) =ℇ. C (1-     )

q (t= ) = (6v) (1, 5 *

q (t= ) =5.69            c


                                    [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC


q (t= ) =5.69µc



b)




I (t= ) =

I (t= ) =1.1        A

I (t= ) =1.1µA




c)

       P=Iℇ

       P= (1.1           A) (6v)

       P=6.6            Watts

       P=6.6µW



d)

       P=I (IR) =

       P=

       P=2.4            Watts

       P=2.4 µW




                                          [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC




e)



     U=




      U=      (




     U (t) =

                            I (t)

     U (t)=       .I (t)

     U (t= )=              * 1.1    A

     U (t= )=4.17           Watts

     U (t= ) =4.17µW




                                               [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC




a) C=        Q=C.V
             Q= 6      .100v
             Q=600
             Q=600µc



b) V=I.R
   I=
   I=0.2A

c) =RC=(500Ω)(6
    =3000
    =3
    =3ms




                                      [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC




     d)

            q (t)= Q

           q (t=6                  600     )

           q (t=6

          q (t=6



e)          U=

            U= (6             )(

            U=3

            U=30

           U=30 mJ



f)          U=

            U (t)=

                            V (t)=RI (t)

                            V (t)=R. (

                            V (t)=V.

             U (t)= C [V.


            U (t)=     C


            U (t)= .




                                                      [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC




a)

     q (t) =ℇ. C (1-      )

     q (t=0) =5v. 1.6*         *1

     q (t=0)=8*

     q (t=0)=8μc



b)
     q (99%)=             =7.92*1   7.92μc

     q(         = ℇ. C. (1-

     7.92*1        = 8*       (1-

                = (1 -


     0.99= (1 -




     t=Ln 0.01.

     t=73, 68 *

     t=73,68ms


                                              [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC




a)

          =


          =

              100*1

          =0.1*1

          =0.1mA



     b)

              =

              =

           =66.7*1

          =66.7µA




                             [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC


       c)

            V=I.R

            V=66.7*1

            V=40V




a)
     q (t) =ℇ. C (1-
     q (t) =               -

            =          -

            =          -

            =

            =

            =




                                      [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC




b)

     =



     =


     =             [


     =                          4v


     = [0, 96 *

     =1, 08*           J

     =1, 08 µ J



c)

     =       =


         =                 .t


         =                           ]


         =                 .

         = 5.33

         =2, 76            J

         =2,76 J




                                                [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC




d)

          =



          =


          = 4v

          =3, 83*      J

          =3, 83 µ J




     a)

          =


          =

          =0.25A


                                  [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC




b)

     =


     =

     =0.0625

     =62.5*1        A

     =62.5mA

c)




         =62.5*1        A.


         = 62.5*1       A.       )


     =62.5mA. (              )




                                            [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC




a)


     =


     =

     =41,67*1        A

     =41,67 µA

b)

     =


     =

     =27,78*1        A

     =27,78 µA



c)




          =27,78*1       A.

         = 27,78*1       A.       )


         = 27,78 µA. (        )




                                             [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC




a) ∑ ℇ=R I

36v-12v=0.5*1   Ω.

        =




=48µA

b) 36v-24v= (t).R

   12v=R. .

   12v=0.5*1    Ω.   .

   12v=24v.

      =




                                [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC




   t=0.693*1.25s

   t=0.866s




a) ∑ ℇ=R I

36v+12v=0.5*1   Ω.

        =




=96µA


                            [http://ejg-team.com/blog]
Ejercicios Resueltos de Circuitos RC




b) 36v-24v= (t).R

   12v=R. .

   12v=0.5*1   Ω.   .

   12v=48v.

      =




   t=1,386.1, 25s

   t=1,733s




                               [http://ejg-team.com/blog]

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Ejercicios Resueltos de Circuitos RC

  • 1. Ejercicios Resueltos de Circuitos RC EJERCICOS RESUELTOS DE CIRCUITOS RC I (t=10s) = 4, 06 A I (t=10s) =4, 06 A [http://ejg-team.com/blog]
  • 2. Ejercicios Resueltos de Circuitos RC t=RC t= =RC a) q (t) =ℇ. C (1- ) q (t= ) = (6v) (1, 5 * q (t= ) =5.69 c [http://ejg-team.com/blog]
  • 3. Ejercicios Resueltos de Circuitos RC q (t= ) =5.69µc b) I (t= ) = I (t= ) =1.1 A I (t= ) =1.1µA c) P=Iℇ P= (1.1 A) (6v) P=6.6 Watts P=6.6µW d) P=I (IR) = P= P=2.4 Watts P=2.4 µW [http://ejg-team.com/blog]
  • 4. Ejercicios Resueltos de Circuitos RC e) U= U= ( U (t) = I (t) U (t)= .I (t) U (t= )= * 1.1 A U (t= )=4.17 Watts U (t= ) =4.17µW [http://ejg-team.com/blog]
  • 5. Ejercicios Resueltos de Circuitos RC a) C= Q=C.V Q= 6 .100v Q=600 Q=600µc b) V=I.R I= I=0.2A c) =RC=(500Ω)(6 =3000 =3 =3ms [http://ejg-team.com/blog]
  • 6. Ejercicios Resueltos de Circuitos RC d) q (t)= Q q (t=6 600 ) q (t=6 q (t=6 e) U= U= (6 )( U=3 U=30 U=30 mJ f) U= U (t)= V (t)=RI (t) V (t)=R. ( V (t)=V. U (t)= C [V. U (t)= C U (t)= . [http://ejg-team.com/blog]
  • 7. Ejercicios Resueltos de Circuitos RC a) q (t) =ℇ. C (1- ) q (t=0) =5v. 1.6* *1 q (t=0)=8* q (t=0)=8μc b) q (99%)= =7.92*1 7.92μc q( = ℇ. C. (1- 7.92*1 = 8* (1- = (1 - 0.99= (1 - t=Ln 0.01. t=73, 68 * t=73,68ms [http://ejg-team.com/blog]
  • 8. Ejercicios Resueltos de Circuitos RC a) = = 100*1 =0.1*1 =0.1mA b) = = =66.7*1 =66.7µA [http://ejg-team.com/blog]
  • 9. Ejercicios Resueltos de Circuitos RC c) V=I.R V=66.7*1 V=40V a) q (t) =ℇ. C (1- q (t) = - = - = - = = = [http://ejg-team.com/blog]
  • 10. Ejercicios Resueltos de Circuitos RC b) = = = [ = 4v = [0, 96 * =1, 08* J =1, 08 µ J c) = = = .t = ] = . = 5.33 =2, 76 J =2,76 J [http://ejg-team.com/blog]
  • 11. Ejercicios Resueltos de Circuitos RC d) = = = 4v =3, 83* J =3, 83 µ J a) = = =0.25A [http://ejg-team.com/blog]
  • 12. Ejercicios Resueltos de Circuitos RC b) = = =0.0625 =62.5*1 A =62.5mA c) =62.5*1 A. = 62.5*1 A. ) =62.5mA. ( ) [http://ejg-team.com/blog]
  • 13. Ejercicios Resueltos de Circuitos RC a) = = =41,67*1 A =41,67 µA b) = = =27,78*1 A =27,78 µA c) =27,78*1 A. = 27,78*1 A. ) = 27,78 µA. ( ) [http://ejg-team.com/blog]
  • 14. Ejercicios Resueltos de Circuitos RC a) ∑ ℇ=R I 36v-12v=0.5*1 Ω. = =48µA b) 36v-24v= (t).R 12v=R. . 12v=0.5*1 Ω. . 12v=24v. = [http://ejg-team.com/blog]
  • 15. Ejercicios Resueltos de Circuitos RC t=0.693*1.25s t=0.866s a) ∑ ℇ=R I 36v+12v=0.5*1 Ω. = =96µA [http://ejg-team.com/blog]
  • 16. Ejercicios Resueltos de Circuitos RC b) 36v-24v= (t).R 12v=R. . 12v=0.5*1 Ω. . 12v=48v. = t=1,386.1, 25s t=1,733s [http://ejg-team.com/blog]