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Circuitos II SAIA

                                 Universidad Fermín Toro
                                Vicerrectorado Académico
                                  Facultad de Ingeniería
                              Escuela de Telecomunicaciones




                    INDUCTANCIA MUTUA




                                                         Autores
                                                         Corazón Monasterios

                                                         Tutor académico
                                                         Nancy Barboza

                                      Cabudare; Julio 2011
Realizado por: Corazón Monasterios                               Prof.: Nancy Barboza
Circuitos II SAIA

1.- Determinar I1, I2, V1 y V2 en el circuito de la figura.

                                     N1 N2

                         4




MALLA 1

                                                ⁄

                                                    ⁄

MALLA 2

                                                ⁄

                                                    ⁄

MALLA 3

                                               ⁄

DECIMOS QUE




ENTONCES




Esto es igual a



Realizado por: Corazón Monasterios                        Prof.: Nancy Barboza
Circuitos II SAIA

DECIMOS QUE:




ENTONCES




Esto es igual a



Ahora se sustituye                    en                     ⁄

                                                     ⁄

Ahora se sustituye                     en                        ⁄

                                                         ⁄

                                                        ⁄




                    ⁄                               ⁄

NOS QUEDA

                                                 ⁄
                                                ⁄


ENTOCES
                                                         ⁄


CON                       ⁄

Realizado por: Corazón Monasterios                                   Prof.: Nancy Barboza
Circuitos II SAIA

                                             ⁄


                                                 ⁄
                                       ⁄
                                                             ⁄

CON

                                                         ⁄

                                                     ⁄




Realizado por: Corazón Monasterios                               Prof.: Nancy Barboza
Circuitos II SAIA

2.- En el circuito mostrado, halle Io.




                                                4




MALLA 1

                                                             ⁄

                                                         ⁄

MALLA 2




RESOLVIENDO EL RESULTADO DE LAS MALLAS NOS DARA EL
RESULTADO DE Y

                                           .9       .

                                           .        .




Realizado por: Corazón Monasterios                               Prof.: Nancy Barboza
Circuitos II SAIA

3.- En el circuito mostrado, halle el valor              .




                                                             4




MALLA 1

(2 (J4 - J2)      - J4      = 12/0 – 24/30

(2+j2)       – J4      = -8.78 – 12j

MALLA 2

                                               ⁄

                                       ⁄

MALLA 3




RESOLVIENDO EL RESULTADO DE LAS MALLAS NOS DARA EL
RESULTADO DE ,      TOMANDO EN CUENTA QUE:

                                           .       . 9

                                           .

                                           .       . 9

Realizado por: Corazón Monasterios                           Prof.: Nancy Barboza
Circuitos II SAIA



            .        . 9

                                           .      .




Realizado por: Corazón Monasterios                       Prof.: Nancy Barboza
Circuitos II SAIA

4.- En el circuito mostrado, halle V0




                                                         4




MALLA 1

                               ⁄

                          ⁄

MALLA 2




RESOLVIENDO EL RESULTADO DE LAS MALLAS NOS DARA EL
RESULTADO DE Y    TOMANDO EN CUENTA QUE:

                                           . 9   9.

                                           .9    .

            .9       .

                                                 9.




Realizado por: Corazón Monasterios                           Prof.: Nancy Barboza
Circuitos II SAIA

5.- Determine I1, I2, V1 Y V2 en el circuito de la figura.

                              4                       N1 N2




MALLA 1

                                  ⁄

                          ⁄

MALLA 2




MALLA 3



TRANFORMADOR IDEAL

    =


  =




    =-



Realizado por: Corazón Monasterios                            Prof.: Nancy Barboza
Circuitos II SAIA

  =-




CON EL RESULTADO DE LAS MALLA Y DEL TRANSFORMADOR
IDEAL (ECUACIONES EN ROJO) PODEMOS OBTENER NUESTRO
RESULTADO




Realizado por: Corazón Monasterios                       Prof.: Nancy Barboza

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Circuitos II SAIA: Inductancia Mutua

  • 1. Circuitos II SAIA Universidad Fermín Toro Vicerrectorado Académico Facultad de Ingeniería Escuela de Telecomunicaciones INDUCTANCIA MUTUA Autores Corazón Monasterios Tutor académico Nancy Barboza Cabudare; Julio 2011 Realizado por: Corazón Monasterios Prof.: Nancy Barboza
  • 2. Circuitos II SAIA 1.- Determinar I1, I2, V1 y V2 en el circuito de la figura. N1 N2 4 MALLA 1 ⁄ ⁄ MALLA 2 ⁄ ⁄ MALLA 3 ⁄ DECIMOS QUE ENTONCES Esto es igual a Realizado por: Corazón Monasterios Prof.: Nancy Barboza
  • 3. Circuitos II SAIA DECIMOS QUE: ENTONCES Esto es igual a Ahora se sustituye en ⁄ ⁄ Ahora se sustituye en ⁄ ⁄ ⁄ ⁄ ⁄ NOS QUEDA ⁄ ⁄ ENTOCES ⁄ CON ⁄ Realizado por: Corazón Monasterios Prof.: Nancy Barboza
  • 4. Circuitos II SAIA ⁄ ⁄ ⁄ ⁄ CON ⁄ ⁄ Realizado por: Corazón Monasterios Prof.: Nancy Barboza
  • 5. Circuitos II SAIA 2.- En el circuito mostrado, halle Io. 4 MALLA 1 ⁄ ⁄ MALLA 2 RESOLVIENDO EL RESULTADO DE LAS MALLAS NOS DARA EL RESULTADO DE Y .9 . . . Realizado por: Corazón Monasterios Prof.: Nancy Barboza
  • 6. Circuitos II SAIA 3.- En el circuito mostrado, halle el valor . 4 MALLA 1 (2 (J4 - J2) - J4 = 12/0 – 24/30 (2+j2) – J4 = -8.78 – 12j MALLA 2 ⁄ ⁄ MALLA 3 RESOLVIENDO EL RESULTADO DE LAS MALLAS NOS DARA EL RESULTADO DE , TOMANDO EN CUENTA QUE: . . 9 . . . 9 Realizado por: Corazón Monasterios Prof.: Nancy Barboza
  • 7. Circuitos II SAIA . . 9 . . Realizado por: Corazón Monasterios Prof.: Nancy Barboza
  • 8. Circuitos II SAIA 4.- En el circuito mostrado, halle V0 4 MALLA 1 ⁄ ⁄ MALLA 2 RESOLVIENDO EL RESULTADO DE LAS MALLAS NOS DARA EL RESULTADO DE Y TOMANDO EN CUENTA QUE: . 9 9. .9 . .9 . 9. Realizado por: Corazón Monasterios Prof.: Nancy Barboza
  • 9. Circuitos II SAIA 5.- Determine I1, I2, V1 Y V2 en el circuito de la figura. 4 N1 N2 MALLA 1 ⁄ ⁄ MALLA 2 MALLA 3 TRANFORMADOR IDEAL = = =- Realizado por: Corazón Monasterios Prof.: Nancy Barboza
  • 10. Circuitos II SAIA =- CON EL RESULTADO DE LAS MALLA Y DEL TRANSFORMADOR IDEAL (ECUACIONES EN ROJO) PODEMOS OBTENER NUESTRO RESULTADO Realizado por: Corazón Monasterios Prof.: Nancy Barboza