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Boletín de problemas de electrónica
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Boletín de problemas 1 Tema 5Métodos sistemáticos de análisis de circuitos
NOTA: Los coeficientes de las ecuaciones resultantes de la apli-
cación de los métodos de nudos y mallas, se expresan mediante
números enteros primos entre sí. Sólo de esta manera se puntua-
rán como correctos.
1. En el circuito de la figura, donde se han definido las corrientes de malla,
las ecuaciones de malla son:
20 −10 I1 1 15 5 I1 1
a.- = a.- =
−5 15 I2 −1 10 30 I2 1
b.- La tensión VX = 1, 6 V b.- La tensión VX = 1, 5 V
c.- La corriente IX = −60 mA c.- La corriente IX = −12, 5 mA
VS1 = 2 V, VS2 = 4 V VS1 = 4 V, VS2 = 2 V
R1 = 20 Ω, R2 = 20 Ω, R3 = 40 Ω R1 = 40 Ω, R2 = 20 Ω, R3 = 40 Ω
1
, 2. En el circuito de la figura, donde se han definido las tensiones de nudo,
las ecuaciones de nudos son:
15 −5 VA 2 15 −5 VA 4
a.- = a.- =
−5 15 VB −4 −5 10 VC −2
b.- La tensión VX = −250 mV b.- La tensión VX = 80 mV
c.- La corriente IX = 7, 5 mA c.- La corriente IX = 12 mA
IS1 = 10 mA, IS2 = 20 mA IS1 = 20 mA, IS2 = 10 mA
R1 = 20 Ω, R2 = 40 Ω, R3 = 20 Ω R1 = 40 Ω, R2 = 20 Ω, R3 = 40 Ω
3. En el circuito de la figura, donde se han definido las corrientes de malla,
las ecuaciones de malla son:
1 0 I1 1 1 0 I1 3
a.- = a.- =
−10 15 I2 −2 5 15 I2 3
b.- La tensión VX = 23, 33 V b.- La tensión VX = 55 V
c.- La corriente IX = 533, 33 mA c.- La corriente IX = 800 mA
VS1 = 10 V, IS1 = 1 A VS1 = 15 V, IS1 = 3 A
R1 = 25 Ω, R2 = 50 Ω, R3 = 25 Ω R1 = 50 Ω, R2 = 25 Ω, R3 = 50 Ω
2
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