For the network shown in Fig. P14.18, find o(t), t > 0,

Find the input impedance Z(s) in the network in Fig. P14.1. 2 H 1 F 2 2 1 Z(s) Figure P14.1

Find the input impedance Z(s) of the network in Fig. P14.2. 1 1 F 2 2 1 Z(s) 2 H Figure P14.2

Find the input impedance Z(s) of the network in Fig. P14.3 (a) when the terminals B-B are open circuited and (b) when the terminals B-B are short circuited. 1 2 2 H 1 F Z(s) A B A B Figure P14.3

Find o(t), t > 0, in the network in Fig. P14.4. + 2 2 4 1 1 H 1 F o 12u(t) A (t) Figure P14.4

Find o(t), t > 0, in the network in Fig. P14.5 using node equations. 2 et u(t) V + 1 H 1 2 F o(t) + Figure P14.5

Use Laplace transforms and nodal analysis to find i1(t) for t > 0 in the network shown in Fig. P14.6. Assume zero initial conditions. 12u(t) V6 1 H u(t) V i1 2 (t) + + 1 2 F Figure P14.6

Use Laplace transforms to find (t) for t > 0 in the network shown in Fig. P14.7. Assume zero initial conditions. 1 2 5u(t) V 1 F 10u(t) V + (t) + + Figure P14.7

For the network shown in Fig. P14.8, find o(t), t > 0. 1 1 1 2u(t) A e2t u(t) V 1 F 1 H o(t) + + Figure P14.8

For the network shown in Fig. P14.9, find io(t), t > 0. 1 F 1 4u(t) V 2 et + u(t) V + 1 H 1 io(t) Figure P14.9

Use nodal analysis to find o(t), t > 0, in the network in Fig. P14.10. 1 2 1 2u(t) A 4u(t) V 1 H 1 F o(t) + + Figure P14.10

Use nodal analysis to find io(t) in the network in Fig. P14.11. 1 H 1 F 2 2 + 2 4e t u(t) V 2u(t) A i o(t) Figure P14.11

Find o(t), t > 0, in the network shown in Fig. P14.12 using nodal analysis. 1 1 12u(t) V 1 6u(t) V 4et u(t) V 1 H 1 F o(t) + + + + Figure P14.12

Find o(t), t > 0, in the network in Fig. P14.13. 1 1 1 1 H 1 F o(t) x(t) + + 2u(t) A + 1u(t) A x(t) 2 Figure P14.13

Use Laplace transforms and mesh analysis to find o(t) for t > 0 in the network shown in Fig. P14.14. Assume zero initial conditions. o(t) 1 2 H (t) 12u(t) V + 1 4 1 2 F Figure P14.14

Solve Problem 14.14 using Laplace transforms and nodal analysis.

Use nodal analysis to find io(t) in the network in Fig. P14.16. 2i1 1 F 2u(t) A 1 (t) i1 i (t) o(t) 1 H Figure P14.16

Use loop equations to find i1(t) in the network in Fig. P14.17. 2 + 4u(t) V i 1(t) 1 F 1 A(t) 2 + A(t) Figure P14.17

For the network shown in Fig. P14.18, find o(t), t > 0, using mesh equations. 1 1 1 2 1 H 4u(t) V 2u(t) A 1 2 F o(t) + + Figure P14.18

Use mesh equations to find o(t), t > 0, in the network in Fig. P14.19. 1 2 1 2u(t) A 4u(t) V 1 H 1 F o(t) + + Figure P14.19

Use loop analysis to find o(t) for t > 0 in the network in Fig. P14.20. 1 1 1 1 F 1 H 6u(t) Aa 2u(t) A 4et u(t) A o(t) + Figure P14.20

For the network shown in Fig. 14.21, find o(t), t > 0, using node equations. 1 + 4u(t) V 2u(t) A 1 1 H 1 2 F o(t) + Figure P14.21

For the network shown in Fig. P14.22, find o(t), t > 0, using loop equations. 1 + 4u(t) V 2u(t) A 1 1 H 1 2 F o(t) + Figure P14.22

Use loop equations to find io(t), t > 0, in the network shown in Fig. P14.23. 1 1 2 1 F 1 H 2u(t) A io(t) et u(t) A Figure P14.23

Use mesh analysis to find o(t) for t > 0 in the network in Fig. P14.24. + 1 2 1 H 4u(t) V 1(t) 21(t) V o(t) + Figure P14.24

Use mesh analysis to find o(t), t > 0, in the network in Fig. P14.25. 1 F 1 1 H 1 4u(t) A i x(t) o(t) + ix(t) 2 Figure P14.25

Use superposition to solve Problem 14.11

Use superposition to find o(t), t > 0, in the network shown in Fig. P14.27. 1 1 1 H 4u(t) V 2u(t) A o(t) + + 1 2 F Figure P14.27

Use superposition to find o(t), t > 0, in the network in Fig. P14.28. 1 2 1 2u(t) A 4u(t) V 1 H 1 F o(t) + + Figure P14.28

Solve Problem 14.14 using Laplace transforms and source transformation.

Use source exchange to solve Problem 14.11

Use source transformation to find o(t), t > 0, in the circuit in Fig. P14.31. 2 + 2u(t) V 2u(t) A 2 2 H 1 F o(t) + Figure P14.31

Solve Problem 14.14 using Laplace transforms and Thvenins theorem.

Use Thvenins theorem to solve Problem 14.16

Use Thvenins theorem to solve Problem 14.17

Use Thvenins theorem to find io(t), t > 0, in Fig. P14.35. 1 1 2 2 H 4u(t) V + 1 F io(t) et u(t) A Figure P14.35

Use Thvenins theorem to find o(t), t > 0, in the network in Fig. P14.36. 1 1 1 1 H 1 F 2u(t) A 1u(t) V + o(t) + Figure P14.36

Find o(t), t > 0, in the network in Fig. P14.37 using Thvenins theorem. 1 2 4u(t) V 1 H 2u(t) A o(t) + 1 2 F + Figure P14.37

Use Thvenins theorem to find o(t), t > 0, in Fig. P14.38. 1 1 2 1 H 1 F 2u(t) A 4u(t) V + o(t) + Figure P14.38

Use Thvenins theorem to determine io(t), t > 0, in the circuit shown in Fig. P14.39. 1 1 1 1 1 H 1 F io(t) 2u(t) A et u(t) A Figure P14.39

Use Thvenins theorem to find o(t), t > 0, in the network in Fig. P14.40. 1 2 H 2 2u(t) A 4u(t) V o(t) + 1 2 F + e2t u(t) A Figure P14.40

Use Thvenins theorem to find o(t), t > 0, in the network in Fig. P14.41. + 1 F 1 H 1 1 o(t) ix(t) ix(t) 4u(t) A 2 Figure P14.41

Use Thvenins theorem to find o(t), t > 0, in the network shown in Fig. P14.42. 1 1 1 H o(t) + A(t) 2A(t) 2u(t) A + + Figure P14.42

Use Thvenins theorem to find io(t), t > 0, in the network shown in Fig. P14.43. 10 10 10u(t) V 42(t) 2(t) 10 2 F + ix(t) ix(t) io(t) + + Figure P14.43

Find io(t), t > 0, in the network shown in Fig. P14.44. 4 3 2 1 F 1 12 V 2 H t = 0 io(t) + Figure P14.44

Find io(t), t > 0, in the network shown in Fig. P14.45. 2 1 3 12 V 2 H 1 14 V t = 0 io(t) + + Figure P14.45

Find io(t), t > 0, in the network in Fig. P14.46. 2 2 H 7 6 12 V t = 0 4 5 + io(t) Figure P14.46

Find o(t) for t > 0 in the network in Fig. P14.47. + 4 k + t = 0 3 k 6 V 2 k 100 F o(t) Figure P14.47

Find o(t) for t > 0 in the network shown in Fig. P14.48. + 3 k 200 F + 6 k 2 k o(t) 4 V 3 k t = 0 Figure P14.48

Find io(t) for t > 0 in the network shown in Fig. P14.49. 3 H 4 6 12 i o 6 A (t) t = 0 Figure P14.49

Find o(t) for t > 0 in the network shown in Fig. P14.50. o(t) + 4 H 2 6 1 24 V 2 + t = 0 Figure P14.50

Find o(t) for t > 0 in the network shown in Fig. P14.51. o(t) + 24 V 1 F 2 H t = 0 2 6 1 + 2 Figure P14.51

Find o(t), t > 0, in the network shown in Fig. P14.52. 4 15 V 4 4 2 H t = 0 o(t) + + Figure P14.52

Find i(t), t > 0, in the network shown in Fig. P14.53. 2 H i(t) + 5 20 V 30 V F 1 12 5 5 t = 0 + Figure P14.53

Find o(t), t > 0, in the network in Fig. P14.54. 6 A 6 2 3 4 4 H t = 0 o(t) + Figure P14.54

Find io(t), t > 0, in the network in Fig. P14.55. 12 k 4 k 6 k 100 F 3 k io(t) 16 V + 12 V + t = 0 Figure P14.55

Find o(t), t > 0, in the network shown in Fig. P14.56. o(t) 2 H + 12 V 1 F 4 1 2 t = 0 + 2 6 V t = 0 + Figure P14.56

Find o(t), for t > 0, in the network in Fig. P14.57. 4 k 2 k 6 k 12 k 12 V 4 V 600 F t = 0 o(t) + + + Figure P14.57

Find o(t) for t > 0 in the network in Fig. P14.58. 2 k 100 F 2 k 2 k 4 k 3 k 8 k 12 V 4 k 4 k 24 V t = 0 o(t) + + + Figure P14.58

Find o(t) for t > 0 in the network in Fig. P14.59. 2 6 8 + o(t) + 4 H 8 H 4 2 H 10u(t) V 1 2 F Figure P14.59

Find o(t) for t > 0 in the network in Fig. P14.60. o(t) + 1 F 1 2 H 2:1 Ideal 12u(t) V 8 + Figure P14.60

Determine the initial and final values of the current i(t) in the network shown in Fig. P14.61. 2 H 24u(t) V 4 i(t) + 6 6 2 F Figure P14.61

Determine the initial and final values of the voltage o(t) in the network in Fig. P14.62. o(t) + 3 4 36u(t) V + 6 1 F Figure P14.62

Find o(t) for t > 0 in the network in Fig. P14.63. 1 1 + 1 1 H 4u(t) V 2 H 2 H o(t) + Figure P14.63

Find o(t) for t > 0 in the network in Fig. P14.64. o(t) + 1:2 Ideal 2 4 + 12u(t) V 4 1 F 1 4 F Figure P14.64

For the network shown in Fig. P14.65, determine the value of the output voltage as t . 2 1 2 1 H 1 2 F 12u(t) V o(t) + + Figure P14.65

Determine the initial and final values of the voltage o(t) in the network in Fig. P14.66. o(t) + 2 2 2 H 4u(t) A 1 F Figure P14.66

Given the network in Fig. P14.67, determine the value of the output voltage as t . 1 2 1 H 1 2 F o 6u(t) A (t) + Figure P14.67

Determine the output voltage o(t) in the network in Fig. P14.68a if the input is given by the source in Fig. P14.68b. (b) 6 0 1 t (s) i (t) (V) i (t) 1 2 3 (a) 1 1 F o(t) + + Figure P14.68

Determine the output voltage, o(t), in the circuit in Fig. P14.69a if the input is represented by the waveform shown in Fig. P14.69b. (b) (a) 1 0 1 t (s) i (t) (V) 1 1 1 1 1 F 1 H o (t) i (t) + + Figure P14.69

Determine the transfer function Io(s)Ii (s) for the network shown in Fig. P14.70. ii (t) 2 1 F 2 io(t) 1 H Figure P14.70

Find the transfer function Vo(s)Vi (s) for the network shown in Fig. P14.71. i (t) 1 2 1 3 1 F o(t) + + Figure P14.71

For the network in Fig. P14.72, choose the value of C for critical damping. o(t) + s(t) 6 H 1 F 1 C + Figure P14.72

The voltage response of the network to a unit step input is Vo(s) = 2(s + 1) ______________ s(s2 + 10s + 25) Is the response overdamped?

Find the output voltage, o(t), t > 0, in the network in Fig. P14.74a if the input is represented by the waveform shown in Fig. P14.74b. (b) (a) 12 0 1 t (s) io(t) (A) 1 1 1 2 1 H 6 o io(t) (t) + Figure P14.74

The voltage response of a network to a unit step input is Vo(s) = 2(s + 1) ______________ s(s2 + 12s + 37) . Is the response underdamped?

The transfer function of a network is given by the expression G(s) = 2(s + 10) __________ s2 + 6s + 9 . Determine the damping ratio, the undamped natural frequency, and the type of response that will be exhibited by the network.

The transfer function of the network is given by the expression G(s) = ____________ 100s s2 + 13s + 40 Determine the damping ratio, the undamped natural frequency, and the type of response that will be exhibited by the network.

The voltage response of a network to a unit step input is Vo(s) = _____________ 10 s(s2 + 8s + 18) Is the response critically damped?

The transfer function of the network is given by the expression G(s) = ____________ 100s s2 + 22s + 40 Determine the damping ratio, the undamped natural frequency, and the type of response that will be exhibited by the network.

Find the steady-state response io(t) in the network shown in Fig. P14.80. 1 H 4 cos t A 1 i o(t) i1(t) 1 F 2i1(t) Figure P14.80

Find the steady-state response o(t) in the network shown in Fig. P14.81. o(t) + 2 H 4 cos t V 2 1 3 1 F + Figure P14.81

Find the steady-state response o(t) in the network shown in Fig. P14.82. + 12 cos 2t V o(t) 2 + F 1 2 1 A(t) 2 + A(t) Figure P14.82

Determine the steady-state response o(t) for the network in Fig. P14.83. 1 2 1 2 H 4 cos 2t V 21(t) 1(t) o(t) + + Figure P14.83

Find the steady-state response io(t) for the network shown in Fig. P14.84. 4 cos 2t V i1(t) 2i1(t) 1 1 H 2 1 2 F io(t) + + Figure P14.84

Find the steady-state response o(t) for the circuit shown in Fig. P14.85. 10 cos t A 1 1 2 1 H 1 F o(t) + Figure P14.85

Find the steady-state response o(t) for the network in Fig. P14.86. 12 cos t V + 2 1 F 1 1 2 1 H o(t) + Figure P14.86

Find the steady-state response o(t), t > 0, in the network in Fig. P14.87. 4 cos 2t V 8 cos 2t V 1 1 1 H 1 1 F io(t) 2io(t) o(t) + + + + Figure P14.87

Determine the steady-state response io(t) for the network in Fig. P14.88. 12 cos 2t V i1(t) 2i1 2 1 H (t) 1 1 2 F io(t) + Figure P14.88

Find the steady-state response o(t), t > 0, in the network in Fig. P14.89. 4 cos t A 1 1 1 H 1 1 F o(t) + x(t) 2x(t) + Figure P14.89