Circuitos Ejecicios.docx

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PRUEBA DE ENTRADA LAB 3 1. En el siguiente circuito aplique anΓ‘lisis de nodos. (2pts)

a. Plantear la ecuaciΓ³n del nodo 1, usando los voltajes de nodo. 𝑉1 𝑉1 βˆ’ 𝑉2 𝑉1 βˆ’ 𝑉3 + + =0 1000 1000 100 b. Plantear la ecuaciΓ³n del nodo 2, usando los voltajes de nodo. 𝑉2 βˆ’π‘‰1 1000

+

𝑉2 680

+

𝑉2 βˆ’π‘‰3 1000

=0

c. Plantear la ecuaciΓ³n del nodo 3, usando los voltajes de nodo. 𝑉3 βˆ’ 15 𝑉3 βˆ’ 𝑉1 𝑉3 βˆ’ 𝑉2 + + =0 22 100 1000 d. El sistema de ecuaciones en los tres nodos 0 = 12𝑉1 βˆ’ 𝑉2 βˆ’ 10𝑉3 0 = βˆ’17𝑉1 + 59𝑉2 βˆ’ 17𝑉3 7500 = βˆ’110𝑉1 βˆ’ 11𝑉2 + 621𝑉3

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