Filosofia
Páginas: 3 (717 palabras)
Publicado: 29 de noviembre de 2012
Ejercicios # 06
CIRCUITOS ELÉCTRICOS I
1.
A source-free parallel RLC circuit contains an inductor for which the product ω0L is 10. If s1 = -6 s -1 and s2 = 8 s-1, find R , L , and C .RESPUESTA: 4.949 , 1.443 H, 14.43 mF.
2.
The capacitor current in the circuit of Fig. 9.28 is iC = 40e-100t-30e-200t mA. If C = 1 mF and v(0) = -0.5 V, find
(a) v(t); (b) iR(t); (c) i(t).RESPUESTA: a) 0.4e100t + 0.15 e200t V; b) 0.12e100t + 0.045 e200t A; c) 80e100t 15 e200t mA t > 0.
4.
Obtain an expression for iL(t) in the circuit of Fig. 9.30 that
valid for all t .
isRESPUESTA: 2u(t) + (2.25e2000t 0.25 e6000t )u(t) A.
5.
Find iL(t) for t ≥ 0 in the circuit shown in Fig. 9.31.
RESPUESTA: 2.025e50t 0.025 e450t A, t > 0.
6.
In the circuit ofFig. 9.29, let v(0) = -400 V and i(0) = 0.1 A. If L = 5
mH, C =10 nF, and the circuit is critically damped: (a) find R; (b) find
|i|max; (c) find imax.
RESPUESTA: a) 353.6 ; b) 0.1382 A; c) 0.1 A.ITESM, Campus Guadalajara
Departamento de Electrónica
Prof. Dr. José Luis Ponce D.
7.
(a) Referring to the circuit of Fig. 9.33, what value of L will result in a
transient response of theform v = Ae –4t + Be6t ? (b) Find A and B if iR
(0+) = 10 A and iC(0+) = 15 A.
RESPUESTA: a) 833.3 mH; b) 210 V, -190 V
8.
After being open for a long time, the switch in the
circuit of Fig.9.38 is closed at t = 0. For t > 0, find (a)
vC(t); (b) iSW(t).
RESPUESTA: a) e5000t (200 cos 104 t + 100 sen 104 t)
V, t > 0; b) 10 e5000t (10 cos 104 t 7.5 sen 104 t)
mA, t > 0.
9.a) Find v(t) for t > 0 for the circuit shown in Fig.
9.41. (b) Make a quick sketch of v(t) over the
time interval 0 < t < 0.1 s.
RESPUESTA: a) e20t (10 cos 200 t + 0.8 sen
200 t) V, t > 0.ITESM, Campus Guadalajara
Departamento de Electrónica
Prof. Dr. José Luis Ponce D.
10. Find iL(t) for t > 0 in the circuit of Fig. 9.42.
RESPUESTA: e4t (10 cos 2 t + 20 sen 2 t) A, t >0
11....
CIRCUITOS ELÉCTRICOS I
1.
A source-free parallel RLC circuit contains an inductor for which the product ω0L is 10. If s1 = -6 s -1 and s2 = 8 s-1, find R , L , and C .RESPUESTA: 4.949 , 1.443 H, 14.43 mF.
2.
The capacitor current in the circuit of Fig. 9.28 is iC = 40e-100t-30e-200t mA. If C = 1 mF and v(0) = -0.5 V, find
(a) v(t); (b) iR(t); (c) i(t).RESPUESTA: a) 0.4e100t + 0.15 e200t V; b) 0.12e100t + 0.045 e200t A; c) 80e100t 15 e200t mA t > 0.
4.
Obtain an expression for iL(t) in the circuit of Fig. 9.30 that
valid for all t .
isRESPUESTA: 2u(t) + (2.25e2000t 0.25 e6000t )u(t) A.
5.
Find iL(t) for t ≥ 0 in the circuit shown in Fig. 9.31.
RESPUESTA: 2.025e50t 0.025 e450t A, t > 0.
6.
In the circuit ofFig. 9.29, let v(0) = -400 V and i(0) = 0.1 A. If L = 5
mH, C =10 nF, and the circuit is critically damped: (a) find R; (b) find
|i|max; (c) find imax.
RESPUESTA: a) 353.6 ; b) 0.1382 A; c) 0.1 A.ITESM, Campus Guadalajara
Departamento de Electrónica
Prof. Dr. José Luis Ponce D.
7.
(a) Referring to the circuit of Fig. 9.33, what value of L will result in a
transient response of theform v = Ae –4t + Be6t ? (b) Find A and B if iR
(0+) = 10 A and iC(0+) = 15 A.
RESPUESTA: a) 833.3 mH; b) 210 V, -190 V
8.
After being open for a long time, the switch in the
circuit of Fig.9.38 is closed at t = 0. For t > 0, find (a)
vC(t); (b) iSW(t).
RESPUESTA: a) e5000t (200 cos 104 t + 100 sen 104 t)
V, t > 0; b) 10 e5000t (10 cos 104 t 7.5 sen 104 t)
mA, t > 0.
9.a) Find v(t) for t > 0 for the circuit shown in Fig.
9.41. (b) Make a quick sketch of v(t) over the
time interval 0 < t < 0.1 s.
RESPUESTA: a) e20t (10 cos 200 t + 0.8 sen
200 t) V, t > 0.ITESM, Campus Guadalajara
Departamento de Electrónica
Prof. Dr. José Luis Ponce D.
10. Find iL(t) for t > 0 in the circuit of Fig. 9.42.
RESPUESTA: e4t (10 cos 2 t + 20 sen 2 t) A, t >0
11....
Leer documento completo
Regístrate para leer el documento completo.