Questions and Answers of Fundamentals Electric Circuits

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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