- Obtain v1 through v3 in the circuit of Fig. 2.81. + 1 - ww "2 24 V V3 +) 10 V 12 V +
- Given the circuit shown inFig. 16.75, determine the values for i(t) and v(t) for all t > 0. i(t) v(t) Ž 12 N 8Ω 2[1– u(t)] 2 H 18 F ell +?!
- Calculate the z parameters of the circuit inFig. 19.71 as functions of s. 20 2 20 H 10 2 V2/5 10 2
- The natural response of an RLC circuit is described by the differential equationfor which the initial conditions are v(0) = 350 V and dv(0)/dt = 0. Solve for v(t). dv dv 2dv+ v = 0 + v= 0 dt dr
- Design a parallel RLC circuit that has the characteristic equations2 + 100s + 106 = 0.
- The step response of an RLC circuit is given byGiven that i(0) = 18 A and di(0)/dt = 36 A/s, solve for i(t). di 2al + 5i = 30 dt dř
- A branch voltage in an RLC circuit is described byIf the initial conditions are v(0) = 0 = dv(0)/dt, find v(t). t'v+4dv + 8v= 120 df dt
- A series RLC circuit is described byFind the response when L = 0.5H, R = 4Î©, and C = 0.2 F. Let i(0ˆ’) = 7.5 A and [di(0ˆ’)/dt] = 0. di(t) , i(t) ďi(t) = 15 + R- dt dt
- The capacitor in the circuit ofFig. 16.39 is initially uncharged. Find v0(t) for t > 0. 4i 9.68(t) V (+ 1F Vo
- If is(t) = 7.5eˆ’2tu(t) A in the circuit shown inFig. 16.40, find the value of io(t). i,(t) is(t) 0.5 F 2Ω relle
- The switch inFig. 16.42 moves from position A to position B at t = 0 (please note that the switch must connect to point B before it breaks the connection at A, a make before break switch). Find
- Find i(t) for t > 0 in the circuit ofFig. 16.43. t = 0 10 Ω 60 Ω ww |(t) 1 mF 40 Ω 36 V (+ 2.5 H (+1
- In the circuit ofFig. 16.44, the switch moves (make before break switch) from position A to B at t = 0. Find v(t) for all t ‰¥ 0. t = 0 0.25 H 2.5 A (4 v(t) 0.04 F 10 2
- Find the voltage across the capacitor as a function of time for t > 0 for the circuit inFig. 16.45. Assume steady-state conditions exist at t = 0ˆ’. 5Ω t = 0 1Ω 0.25 Η 60 V (+ +1
- The switch in the circuit ofFig. 16.47 has been closed for a long time but is opened at t = 0. Determine i(t) for t > 0. i(t) 2Ω ν 40 V t = 0 -/4 1/2
- The switch inFig. 16.49 moves from position A to position B at t = 0 (please note that the switch must connect to point B before it breaks the connection at A, a make before break switch).
- Find v(t) for t > 0 in the circuit inFig. 16.50. t= 0 1H v = 4 F 10 Ω 5Ω 6u(t) A 4.5 A
- For the circuit inFig. 16.51, find v(t) for t > 0. 4.8[1 – u(t)] A 0.04 F 1H ell 2Ω 4Ω +) 120u(t) V
- Calculate i(t) for t > 0 in the circuit inFig. 16.52. +ν- ㅎF 35[1-ut)] ν (+) 5Ω 1/14 αυ
- Find vo(t), for all t > 0, in the circuit ofFig. 16.53. 7u(t) V ) 3.5u(t) A 0.5 F+vo 1H
- Obtain v(t) and i(t) for t > 0 in the circuit inFig. 16.54. 5 H ll i(t) 24 V (+ 10u(t) v(t) 200 mF
- For the network inFig. 16.55, solve for i(t) for t > 0. 6Ω Li(t) t = 0 75 V (+ 25 V(+ LL -100 (+1)
- UsingFig. 16.56, design a problem to help other students understand how to use Thevenin€™s theorem (in the s-domain) to aid in circuit analysis.Use Thevenin€™s theorem to
- Solve for the mesh currents in the circuit ofFig. 16.57. You may leave your results in the s-domain. 1H 20u(t) V (+ H ( 12
- Find vo(t) in the circuit ofFig. 16.58. 1H all 25e u(t) V 2 F=vo(t) 4.5u(t) A vo(t) 4 2 +1
- Refer to the circuit inFig. 16.59. Calculate i(t) for t > 0. 7.5(1– u(t) A i(t) Н 10 2 10 2
- Determine v for t > 0 in the circuit inFig. 16.60. 250 mH ele 20u(t) A 4Ω 20u(t) V 500 mF +1
- The switch in the circuit ofFig. 16.61 is moved from position a to b (a make before break switch) at t = 0. Determine i(t) for t > 0. 0.02 F 14 Ω +) 15 V bo i(t) 2Ω 2 H ell t = 0 5 A (+1
- For the network inFig. 16.62, find i(t) for t > 0. 3Ω 1H η i(t) +) 20 V 40u(t) A 1Ω 40 mF (+1
- In the circuit ofFig. 16.63, find v(t) and i(t) for t > 0. Assume v(0) = 0 V and i(0) = 1.25 A. 5u(t) A + 0.5 F 1H ll
- Find the output voltage vo(t) in the circuit ofFig. 16.64. t= 0 10 Ω 1H3 10 mF 1.5 A () 52 Vo
- Given the circuit inFig. 16.65, find i(t) and v(t) for t > 0. i(t) 1H v(t) 1Ω 2Ω t = 0 180 V (+ 1/4 ll
- Determine i(t) for t > 0 in the circuit ofFig. 16.66. t = 0 Li(t) 5 H3 2% F 36 V (+ 5Ω
- For the circuit inFig. 16.67, find i(t) for t > 0. 10 2 Li(t) 10 mF 24u(t) A 120 V (+ 40 2 4 H ll
- Find v(t) for t > 0 in the circuit inFig. 16.68. t = 0
- Determine io(t) in the circuit inFig. 16.69. 2 H ele 5e-2'u(t) A 12
- Determine io(t) in the network shown inFig. 16.70. 20 + 40u(t) V (t 2 H -/4
- Find i0(t) for t > 0 in the circuit inFig. 16.72. 2Ω + Vo 1Ω 7.5e-2t u(t) V ( +) 4.5[1 – u(t)]V 0.5v. 1H
- For the circuit in Fig.16.73, find v(t) for t > 0. Assume that i(0) = 2 A. i(t) 10 HE v(t) 2 H 2i(t)
- In the circuit ofFig. 16.74, find i(t) for t > 0. 4Ω t = 0V 6Ω 25 F 120 V +1
- The switch inFig. 16.77 has been in position 1 for t < 0. At t = 0, it is moved from position 1 to the top of the capacitor at t = 0. Please note that the switch is a make before break
- Obtain i1and i2for t > 0 in the circuit ofFig. 16.78. | 12 20u(t) V (+ 2 H ell ell
- UsingFig. 16.81, design a problem to help other students better understand circuit analysis in the s-domain with circuits that have dependent sources.In the circuit of Fig. 16.81, let i(0) = 1 A,
- Find the response v(t) for t > 0 in the circuit inFig. 16.83. Let R = 8 Î©, L = 2 H, and C = 125 mF. v(t) 10u(t) A ell
- Find the voltage vo(t) in the circuit ofFig. 16.84 by means of the Laplace transform. 1H ell 0.5 F 3.5u(t) A Vo
- UsingFig. 16.85, design a problem to help other students better understand solving for node voltages by working in the s-domain.Find the node voltages v1 and v2 in the circuit of Fig.
- Consider the parallel RLC circuit ofFig. 16.86. Find v(t) and i(t) given that v(0) = 7.5 V and i(0) = ˆ’3 A. 6u(t) A ν 10 Ω 4 H 80 -18
- The switch inFig. 16.87 moves from position 1 to position 2 at t = 0. Find v(t), for all t > 0. t= 0 2, 15 V (+ 10 mF 0.25 H +1)
- For the RLC circuit shown inFig. 16.88, find the complete response if v(0) = 100 V when the switch is closed. t = 0 1H 6Ω wη 100 cos 4t V (+ ν -σ
- When the input to a system is a unit step function, the response is 120 cos 2tu(t). Obtain the transfer function of the system.
- Design a problem to help other students better understand how to find outputs when given a transfer function and an input.A circuit is known to have its transfer function asFind its output when:(a)
- For the circuit inFig. 16.95, find H(s) = Vo(s)ˆ•Vs(s). Assume zero initial conditions. 1H elll 0.1 F =v. 4Ω kvs
- For the op-amp circuit inFig. 16.99, find the transfer function, T(s) = I(s)/Vs(s). Assume all initial conditions are zero. Li,(t) +, V(t) (+ ell
- Find the trigonometric Fourier series for 7.5 0
- UsingFig. 17.51, design a problem to help other students better understand how to determine the exponential Fourier series from a periodic wave shape.Obtain the exponential Fourier series of the
- Design a problem to help other students better understand obtaining the Fourier series from a periodic function.A periodic function is defined over its period asFind the Fourier series of h(t). (10
- Find the quadrature (cosine and sine) form of the Fourier series 37.5 cos ( 2nt cos(2, пл (2nt- f(t) = 7.5 + E + n=1 n° + 1
- Calculate the Fourier coefficients for the function inFig. 17.60. f(t) M. M. M. 12 -5 -4 -3 -2 -1 0 1 2 3 4 5 t
- UsingFig. 17.61, design a problem to help other students better understand finding the Fourier series of a periodic wave shape.Find the Fourier series of the function shown in Fig. 17.61. f(t). f(0)
- Obtain the trigonometric Fourier series for the voltage waveform shown inFig. 17.66. v(t) A 15 4 t -2 -1 3 -15
- Design a problem to help other students better understand how to find the rms voltage across and the rms current through an electrical element given a Fourier series for both the current and the
- Design a problem to help other students better understand how to find the exponential Fourier series of a given periodic function.Given the periodic functionf(t) = t2, 0 < t <
- UsingFig. 18.27, design a problem to help other students better understand the Fourier transform given a wave shape.What is the Fourier transform of the triangular pulse in Fig. 18.27? f(t) f(0) t1
- Find the Fourier transform of the waveform shown inFig. 18.29. g(t) -1 1
- Obtain the Fourier transform of the signal shown inFig. 18.30. h(t) 3 -1 1 4 -3 -
- Find the Fourier transform of the €œsine-wave pulse€ shown inFig. 18.36. f(t) 11 sin at 12
- Determine the Fourier transforms of these functions:(a) f(t) = 8∕t2(b) g(t) = 4∕(4 + t2)
- Obtain the z parameters for the network inFig. 19.65. 10 Ω 10 Ω 10 Ω ww- 10 2 10 Ω
- UsingFig. 19.68, design a problem to help other students better understand how to determine z parameters from an electrical circuit.Calculate the z parameters for the circuit in Fig.19.68. jXL --jXc
- Obtain the z parameters for the network inFig. 19.69 as functions of s. 10 2 10 H 10 2 10 2
- Compute the z parameters of the circuit inFig. 19.70. 10 Ω 10 Ω 10 I, +1
- Find the z parameters of the two-port inFig. 19.72. j4 2 -j2 2 j6 2 j8 Ω 10 Ω ell
- Determine the z and y parameters for the circuit inFig. 19.78. 8Ω 16 2 12 2
- Calculate the y parameters for the two-port inFig. 19.79. 0.5 S 0.5 S
- UsingFig. 19.80, design a problem to help other students better understand how to find y parameters in the s-domain.Find the y parameters of the two-port in Fig.19.80 in terms of s. R1 R2
- Find the y parameters for the circuit inFig. 19.81. 10 Ω 10 Ω
- UsingFig. 19.90, design a problem to help other students better understand how to find the h and g parameters for a circuit in the s-domain.Find the h and g parameters of the two-port network in
- UsingFig. 19.97, design a problem to help other students better understand how to find g parameters in an ac circuit.Find the g parameters for the circuit in Fig.19.97. -jXc jXL
- Find the ABCD parameters for the circuit inFig. 19.100. J10 Ω j10 Ω 10Ω 10 Ω rell -/10 kΩ
- Find the transmission parameters for the circuit inFig. 19.101. j20 2 20 2 ell -j100 k2 -j100 k2
- A transformer having 2,400 turns on the primary and 48 turns on the secondary is used as an impedance matching device. What is the reflected value of a 3-Ω load connected to the secondary?
- Let is= 5 cos (100t) A. Calculate the voltage across the capacitor, vc. Also calculate the value of the energy stored in the coupled coils at t = 2.5Ï€ ms. 100 mH 200 mH 200 mH 500 μF is
- Using source transformation, find i in the circuit ofFig. 10.94. 5 mF 20 Ω 25 cos(20t + 15°) (+ 20 2 ell
- Using nodal analysis, find io(t) in the circuit in Fig. 10.60. 0.25 F 2 H ell 1H ell cos 2t A 8 sin (2t + 30°) V( 0.5 F
- UsingFig. 10.51, design a problem to help other students better understand nodal analysis.Solve for Vo in Fig. 10.51, using nodal analysis. Vo -j5 N= j4 2 4/0° V (+
- Compute vo(t) in the circuit ofFig. 10.53. 0.25 F İx 1H ll 24 cos (4t + 45°) V 0.5i,
- Determine VxinFig. 10.55. х ll 20 Q 20 2 J10 Ω) 0.2V, 60/0° V ell
- UsingFig. 10.61, design a problem to help other students better understand nodal analysis.By nodal analysis, find io in the circuit in Fig. 10.61. 210 R2 R1 is ll
- Use mesh analysis to determine current Ioin the circuit ofFig. 10.79 below. lo j60 2 20 2 80 2 ll -j40 2 -j40 2 50/120° V 30/-30° V
- Determine Voand Ioin the circuit ofFig. 10.80 using mesh analysis. J4Ω uυ ν. 2Ω 3Vο. 2Ω 10/-30° A + >I
- Find vofor the circuit inFig. 10.86, assuming that is(t) = 2 sin (2t) + 3 cos (4t) A. i,(t) 10 Ω 5 HE Vo rell
- UsingFig. 10.87, design a problem to help other students better understand the superposition theorem. R2 jXL ll V2 -jXc R1 V, (+1
- Using the superposition principle, find ixin the circuit ofFig. 10.88. +) 20 cos(2t – 60°) V 10 cos(2t + 10°)A( 4 H -|00 all
- Use the superposition principle to obtain vxin the circuit ofFig. 10.89. Let vs= 50 sin 2t V and is= 12 cos(6t + 10°) A. 20 Ω 50 mF is Vx 20 Ω X. Vs (+1
- Use superposition to find i(t) in the circuit ofFig. 10.90. 20 Ω +) 3 sin 4t V 8 cos(10t + 30°) V ο 300 mH (+1
- Solve for vo(t) in the circuit ofFig. 10.91 using the superposition principle. 2H 6Ω ell 6 sin 2t A 글 F 18 cos 3t V (+ +) 15 V Vo
- UsingFig. 10.95, design a problem to help other students understand source transformation.Use source transformation to find vo in the circuit in Fig. 10.95. R1 all R2 Vo v(t) +1)
- Find the Thevenin and Norton equivalent circuits at terminals a€‘b for each of the circuits inFig. 10.98.a.b. j20 2 ll 10 Ω 25/30° V (+ -j10 2 -o b -j5 2 12 /0° A 8Ω j10 N ob
- UsingFig. 10.100, design a problem to help other students better understand Thevenin and Norton equivalent circuits.Find the Thevenin and Norton equivalent circuits for the circuit shown in Fig.
- For the circuit depicted inFig. 10.101, find the Thevenin equivalent circuit at terminals a€‘b. 10 Ω 30/90° V (+ +-j10 2 3/0° A

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