Questions and Answers of Schaum S Outline Of Electric Circuits

Referring to Example 14.8, let v1 = u(t). Find i1,f, the forced response.Data from Example 14.8Given L1 = 0.2 H, L2 = 0.1 H, M = 0.1 H, and R = 10 Ω in the circuit of Fig. 14-17. Find i1 for v1 =
Obtain the equivalent inductance of the parallel-connected, coupled coils shown in Fig. 14-25. V₁ 0.3 H k = 0.7 Fig. 14-25 0.8 H
(a) Obtain the equivalent impedance at terminals AB of the coupled circuit shown in Fig. 14-42.(b) Reverse the winding sense of one coil and repeat. 502 j2 Ռ A j2 Ո . B 5 Ո j3 2
For the coupled circuit shown in Fig. 14-26, show that dots are not needed so long as the second loop is passive. 50/0° V 2 Ω I j5 Ω j4 Ω Fig. 14-26 · j10 Ω 5 Ω 12
In the coupled circuit shown in Fig. 14-43, find V2 for which I1 = 0. What voltage appears at the 8 Ω inductive reactance under this condition? 1000 V 5 2 j8.0 j2.0 j2 Q 20 1 +) v
For the coupled circuit shown in Fig. 14-27, find the ratio V2/V1 which results in zero current I1. V₁ ( ՄՏ Մ j8 2 j2 Ո • j2 2 Մ « 2 0 +1 V₂
Find the mutual reactance XM for the coupled circuit of Fig. 14-44, if the average power in the 5-Ω resistor is 45.24 W. 70.7/0° V www 4 2 j5 Ո jXM j10 2 5 Ո
In the circuit of Fig. 14-28, find the voltage across the 5 Ω reactance with the polarity shown. 50/45° V 3 Ω j4 2 j3 n j5 Ω Fig. 14-28 of -18 N
For the coupled circuit shown in Fig. 14-45, find the components of the current I2 resulting from each source V1 and V2. V, = 10/0° V (+ m 2 Ո j4 2 j2 2 j3 2 H —j8 2 Vz = 10/0° V
Obtain Thévenin and Norton equivalent circuits at terminals ab for the coupled circuit shown in Fig. 14-29. 10/0° V Ut j10 Ω 09/ j5 Ω 4 Ω Fig. 14-29 3 Ω
Determine the coupling coefficient k in the circuit shown in Fig. 14-46, if the power in the 10-Ω resistor is 32 W. 28.3/0° V +1 k j5 Ո j8 2 10 2
For the transformer circuit of Fig. 14-11(b), k = 0.96, R1 = 1.2 Ω, R2 = 0.3 Ω, X1 = 20 Ω, X2 = 5 Ω, ZL= 5.0∠36.87° Ω, and V2 = 100 ∠ 0° V. Obtain the coil emfs E1 and E2, and the
For the linear transformer of Problem 14.15, calculate the input impedance at the terminals where V1 is applied.Data from problem 14.15For the transformer circuit of Fig. 14-11(b), k = 0.96, R1 = 1.2
In (14a), replace a, X11, X22, and XM by their expressions in terms of X1, X2, and k, thereby obtaining (14b). M 22 · = Z₁ = (R₁₂ + jX₁₂₁) + a²_(jXµ/a) (R₂ + jX₂2 +Z₁) (jXμ/a) +
For the coupled circuit shown in Fig. 14-47, find the input impedance at terminals ab. D -04 3 Ω j3 Ω j4 Ω j5 Ω -j8 Ω
Find the input impedance at terminals ab of the coupled circuit shown in Fig. 14-48. a o bo 2 Ω j5 Ω · j2 Ω· 2 Ω j5 Ω
In Fig. 14-33, three identical transformers are primary wye-connected and secondary delta-connected. Ini N₁ N₁ N N₂ N₂ N₂ Fig. 14-33 Icz 162 ZL
Find the input impedance at terminals ab of the coupled circuit shown in Fig. 14-49. j4 Ω bo · j5 Ω j8 Ω 2 Ω www 4 Ω www -j3 Ω
For the ideal autotransformer shown in Fig. 14-34, find V2, Icb, and the input current I1. + - V₁= 150/0° V N₁ = 40 b N₂ = 80 a C Icb Fig. 14-34 Z₁ = 10/60° V₂
Obtain Thévenin and Norton equivalent circuits at terminals ab of the coupled circuit shown in Fig. 14-50. +1 10/0° V+ j5 n mimm 40 4 Ω j8n a b nim j80 40 +1 10/90° V
In Problem 14.18, find the apparent power delivered to the load by transformer action and that supplied by conduction.Data from problem 14.18For the ideal autotransformer shown in Fig. 14-34, find
For the ideal transformer shown in Fig. 14-51, find I1, given + 240/0° _V 120/0° _V 120/0° V 1.y 13 I? 01 I£3 [ . l
In the coupled circuit of Fig. 14-35, find the input admittance Y1 = I1/V1 and determine the current i1(t) for v1 = 2 √2 cos t. VI | H M = I H نشد 1 F Fig. 14-35 10
When the secondary of the linear transformer shown in Fig. 14-52 is open-circuited, the primary current is I1 = 4.0∠- 89.69° A. Find the coefficient of coupling k. V₁ = 480/0° V ± 0.64
Find the input impedance Z1 = V1/I1 in the coupled circuit of Fig. 14-36. 21 1 H M = H 202 14 H Fig. 14-36 H
For the ideal transformer shown in Fig. 14-53, find I1, given I2 = 50∠– 36.87° A and I3 = 16∠0° A. N₁ = 200 1₂ N₂ = 100 Ny = 25
Considering the autotransformer shown in Fig. 14-54 ideal, obtain the currents I1, Icb, and Idc. Ꭲ Ꭲ 5000 V / / 200/0° _V 1000 v · a Ich d 3f1 10/0° _A 5{45° _A Ide
Use PSpice to find V(3, 4) in the circuit of Fig. 15-23. 36 Ω R, 12 Ω. R2 R3 ww 74 Ω 2 105 v (t) v. 0 Fig. 15-23 R4 16.4 Ω 103.2 Ω R6 28.7 Ω 3 RS V (3.4)
The op amp in Fig. 5-12 is ideal and not saturated. Find(a) v2/v1;(b) The input resistance v1/i1; and(c) i1, i2, p1 (the power delivered by v1), and p2 (the power dissipated in the resistors),
Use PSpice to find the dc steady-state voltage across the 5-μF capacitor in Fig. 15-1(a). 16 3 ΚΩ M UY 9 5 μF
Write the source file for the circuit of Fig. 15-24 and find I in R4. 1 27 Ω · R₁ 47 Ω R₂ 200 v(t) v, Μ R3 4 Ω 3 20 A (4) 1, Fig. 15-24 R₁ 23 Ω
Find v2/v1 in the circuit shown in Fig. 5-16. VI 2 ΚΩ www B A ww 10 ΚΩ 15 ΚΩ Fig. 5-16 7 ΚΩ + 12 | 2 R2
Write the data statements for R, L, and C given in Fig. 15-2.The third statement for the capacitor connection specifies one node only. The missing node is always taken to be the reference node.
Find the three loop currents in the circuit of Fig. 15-25 using PSpice and compare your solution with the analytical approach. 202- 4 R₁ 50. R₂ 20 12 25 V (+)V₁ 0 R3 www 10 Ω 4 Ω. Fig.
Find vo as a function of v1 and v2 in the circuit of Fig. 5-20. VI U2 R₁ R3 B A UB VA RA Fig. 5-20 * R₂ Vo 1041
Write data statements for the sources of Fig. 15-3. Independent voltage source Independent current source 1 3. V₂ = 30 V + /bias = 2 A N
Using PSpice, find the value of Vs in Fig. 15-4 such that the voltage source does not supply any power. 500 Ω www 3 ΚΩ 4V www 1 ΚΩ 4) 3 mA (a) www 1.5 ΚΩ Fig.
Find v1 and v2 in Fig. 5-21. –06 V ww 1 ΚΩ + 3 ΚΩ +0.5 V υπ 1 ΚΩ Fig. 5-21 M ww 2 ΚΩ 2 ΚΩ ww + υ
Write the netlist for the circuit of Fig. 15-4(a) and run PSpice on it for dc analysis. 500 Ω Μ 3 ΚΩ 4V (4) 3 mA ΙΚΩ 1.5 ΚΩ
Perform a dc analysis on the circuit of Fig. 15-26 and find its Thévenin equivalent as seen from terminal AB. 3V (+) Vs 0 1002 www 2 1, (+)1 A Fig. 15-26 A +O V/₂ 108 B
Design a circuit with x(t) as input to generate output y(t) which satisfies the following equation:For x(t) = 1 V. y"(t) + 2y' (t) + 3y(t) = x(t) (27)
Write the data statements for the voltage-controlled sources of Fig. 15-5. 3 Voltage-controlled voltage source (VCVS) k₁V21 5 Voltage-controlled current source (VCCS) V21 k₂V21 2 ● 6 Control
Perform an ac analysis on the circuit of Fig. 15-27(a). Find the complex magnitude of V2 for f varying from 100 Hz to 10 kHz in 10 steps. 1 ΚΩ www 10/0° (a) 2 2 ΚΩ. 2 0 + V₂ | 1 μF
Find v2 in Problem 5.11 by replacing the circuit to the left of nodes A-B in Fig. 5-37 by its Thévenin equivalent.Data from problem 5.11In the circuit of Fig. 5-37 find vC (the voltage at node C),
Write data statements for the current-controlled sources in Fig. 15-6. 3 5 Current-controlled voltage source (CCVS) kzi + 4 Current-controlled current source (CCCS) kai 6 2
Perform dc and ac analysis on the circuit in Fig. 15-28. Find the complex magnitude of V2 for f varying from 100 Hz to 10 kHz in 100 steps. V, + 0 10/0° R₁ 1 ΚΩ R₂ 2 ΚΩ. 2 1 μF Fig.
Find vo in the circuit of Fig. 5-46. R₁ ww B A U₂ + R₂ ww Fig. 5-46 Vo
Write the netlist for the circuit of Fig. 15-7(a) and run PSpice on it for dc analysis. 12V/ www 1 ΚΩ 1001 *2 ΚΩ 1500 Ω
Plot resonance curves for the circuit of Fig. 15-29(a) for R = 2, 4, 6, 8, and 10 Ω. I 2 120⁰ mA ac (a) L 10 mH R C 1 μF
In Fig. 5-48 choose resistors for a differential gain of 106 so that vo = 106 (v2 − v1 ). 2₂0 + A B R₁ www R₁ Fig. 5-48 R₂ R₂ Vo
Find the value of Vs in the circuit in Fig. 15-8 such that the power dissipated in the 1-kΩ resistor is zero. Use the .DC command to sweep Vs from 1 to 6 V in steps of 1 V and use .PRINT to show
Use Spice to solve the indicated problems and examples.Resistors having high magnitude and accuracy are expensive. Show that in the circuit of Fig. 5-49 we can choose resistors of ordinary range so
Use the command .TF to find the Thévenin equivalent of the circuit seen at terminal AB in Fig. 15-10. V=12V | R₁ www ΙΚΩ R₂ 2 ΚΩ 2 W 0 V₂ R3 www ΓΚΩ R4 3 Ω .200 Ω 1082 A B
Use Spice to solve the indicated problems and examples.vs1 = vs2 = 1V.Design a circuit containing op amps to solve the following set of equations: y' + x = Usl = -0,2 2y + x'+ 3x =
Plot the voltages between the two nodes of Fig. 15-31 (a) in response to a 1-mA step current source for R = 100, 600, 1100, 1600, and 2100 Ω. 1 μF не +)! (a) I R
Given the circuit of Fig. 15-11(a), find Is, If, V2, and V6 for Vs = 0.5 to 2 V in 0.5-V steps. Assume the amplifier model of Fig. 15-11(b), with Rin = 100 kΩ, Cin. 10 pF, Rout= 10 ksΩ, and an
Use Spice to solve the indicated problems and examples.Average power delivered by a 1 mV voltage source to a 1 Ω resistor is 1 µW. Apply the 1 mV voltage source to the input of an amplifier with a
Find the Thévenin equivalent of Fig. 15-32 seen at the terminal AB. 2 V₁₁3 V 1 R4 ww 502 R3 ΤΩ R₁ 252 ΖΩ 3 R₂ $2 + 4 V 4 Fig. 15-32 R$ 702 5 1A(4), 0 A B
Find the transfer function V3/Vs in the ideal op amp circuit of Fig. 15-12(a). +1 1 ΚΩ www 12 V + (α) 2 ΚΩ 9+ V3 10
Use Spice to solve the indicated problems and examples.In Fig. 7-12 the 9-µF capacitor is connected to the circuit at t = 0. At this time, capacitor voltage is v0 = 17 V. Find vA, vB, vC, iAB, iAC,
Plot the frequency response VAB /Vac of the open-loop amplifier circuit of Fig. 15-33(a). Η εκδ 10 μV R₂ 10 ΚΩ Rin 106 Ω 2 0 Vini + Cin 1 to 101 pF (α) 3 Rout 10
Write data statements for the sources shown in Fig. 15-13. 1 3 Independent ac voltage source V, (t)=14 cos (@t+45°) Independent ac current source i, (t) = 2.3 cos (ot-105°) 2 4
In the series RLC circuit of Fig. 15-14 (a) vary the frequency of the source from 40 to 60 kHz in 200 steps. Find the magnitude and phase of current I using .PLOT and .PROBE. V₁ = cos wf R 32
Use Spice to solve the indicated problems and examples.Find the steady-state values of iL, vC1 , and vC2 in the circuit of Fig. 7-13(a).Figure 7-13 is(t) = (+ 3u(t-1) UC C₂ 3 ΚΩ v(t)=18u(t) Μ 2
Use Spice to solve the indicated problems and examples.In the two-mesh circuit shown in Fig. 8-31, the switch is closed at t = 0. Find i1 and i2, for t > 0. 50 V ( + 5Ω Μ 20 με Fig.
Plot the open-loop frequency response V6/Vd of the op amp model in Fig. 15-35 (a) for f varying from 1 Hz to 1 kHz. Model parameters are Rin = 100 kΩ, A = 105, Rp= 10 kΩ, Cp = 31.82 μF, and Rout
Write the three data statements which describe the coupled coils of Fig. 15-15. 10- 20- L₁ 2 H M = 1.5 H L2 3 H 4 -03
Use Spice to solve the indicated problems and examples.Compute the equivalent impedance Zeq and admittance Yeq for the four-branch circuit shown in Fig. 9-20. V j5 Ո (2) 52 j8.66 2 Fig. 9-20 (3) |
Find the closed-loop frequency response V3/Vac in Fig. 15-34 (a) for f varying from 1 kHz to 1 MHz, using the subcircuit model shown in Fig. 15-35(a). Model parameters are the same as in Problem
Plot the input impedance Zin = V1/I1 in the circuit of Fig. 15-16 (a) for f varying from 0.01 to 1 Hz. 1 add 1 A ac + C 1F 0 Z in = V₁/1₁ L₁ 2 H M = 2 H 3 Ω 2 www R 42 5 H L3 3 1 H
Use Spice to solve the indicated problems and examples.Obtain the voltage Vx in the network of Fig. 9-28 using the mesh current method. 10/0° 10/0°_v( + ΖΩ 5 Ω -12 Ω Ε 13 10 Ω www + V, Fig.
Find the frequency responses of V3/Vac and V5/Vac in Fig. 15-37(a) for f varying from 1 kHz to 100 kHz. Model the op amp as the subcircuit given in Problem 15.14.Fig. 15-37(a)Data From Problem
Use Probe to plot V in the circuit in Fig. 15-17 (a) for f varying from 1 to 3 kHz in 100 steps. Also, R from 500 Ω to 1 kΩ in steps of 100 Ω. O 1 mA ac 1 μF HE C 10 mH (a) 0 L R
Use Spice to solve the indicated problems and examples.In the network of Fig. 9-29, determine the voltage V which results in a zero current through the 2 + j3 Ω impedance. I₁ 402 U9 Fig.
Referring to the RC circuit of Fig. 15-22, choose the height of the initial pulse such that the voltage across the capacitor reaches 10 V in 0.5 ms. Verify your answer by plotting Vc for 0 The pulse
Use .TRAN and .PROBE to plot the voltage across the parallel RLC combination in Fig. 15-18(a) for R = 50 Ω and 150 Ω for 0 C 1 μF + V(0) = 0 (a) 0 10 mH i(0)-0.5 A R
A three-phase, 339.4-V, ABC system [Fig. 11-15(a)] has a ∆-connected load, with Obtain the phase and line currents and draw the phasor diagram. Z, 'ΑΒ 10/0° Ω Zgc = 10 30° Ω BC Zc = 15
Plot the voltage across the capacitor in the circuit in Fig. 15-38 (a) for R = 0.01 Ω and 4.01 Ω. The current source is a 1 mA square pulse which lasts 1256.64 μs as shown in the i - t
Use Spice to solve the indicated problems and examples.A three-phase, four-wire, 150-V, CBA system has a Y-connected load, with Z = 6/0° Ω Zg = 6/30° Ω Z = 5/45° Ω
A 1-V dc voltage source starts increasing exponentially at t = 5 ms, with a time constant of 5 ms and an asymptote of 2 V. After 15 ms, it starts decaying back to 1 V with a time constant of 2 ms.
Obtain all line currents and draw the phasor diagram. See Figure 11-16(a). A N B IN VAN VBN VCN IB (a) IA 6/0° N 6/30⁰ N 5/45° n Ic Fig. 11-16
Figure 11-17 (a) shows the same system as in Example 11.6 except that the neutral wire is no longer present. Obtain the line currents and find the displacement neutral voltage, VON.Data from Example
(a) Write the data statement for a pulse waveform which switches 10 times in one second between 1 V and 2 V, with a rise and fall time of 2 ms. The pulse stays at 2 V for 11 ms. The first pulse
(a) Write the mathematical expression and data statement for a dc voltage source of 1 V to which a 100-Hz sine wave with zero phase is added at t = 5 ms. The amplitude of the sine wave is 2 V and it
Find the voltage across a 1-μF capacitor, with zero initial charge, which is connected to a voltage source through a 1-kΩ resistor as shown in the circuit in Fig. 15-22(a). The voltage source is
A three-element series circuit contains R = 10 Ω, L = 5 mH, and C = 12.5 µF. Plot the magnitude and angle of Z as functions of ω for values of ω from 0.8 ω0 through 1.2 ω0.Figure 12.38
For the circuit shown in Fig. 12-47, (a) Obtain the voltage transfer function Hu(w) (b) Find the frequency at which the function is real. + V₁ ww R₁ R₂ Fig. 12-47 F V
Use Spice to solve the indicated problems and examples.(a) Find the transfer function H(s) = V2/V1 for the filter of Fig. 12-77 (a) and determine its type.(b) Assuming R = 159 Ω, C = 1 µF, and
Measurements on a practical inductor at 10 MHz give L = 8.0 µH and Qind = 40.(a) Find the ideal capacitance C for parallel resonance at 10 MHz and calculate the corresponding bandwidth
Find the exponential Fourier series for the half-wave-rectified sine wave shown in Fig. 17-57. Convert these coefficients into the trigonometric series coefficients, write the trigonometric series,
Find the exponential Fourier series for the square wave shown in Fig. 17-55 and plot the line spectrum. Convert the trigonometric series coefficients of Problem 17.22 into exponential series
Find the Z-parameters in the circuit of Fig. 13-31. For s = j. +91= V₁ 40 7/ 202 202 Fig. 13-31 40 +81.5 V₂
Use Spice to solve the indicated problems and examples.(a) Compute the voltage V for the coupled circuit shown in Fig. 14-24.(b) Repeat with the polarity of one coil reversed. 50/0° V +1 j5
Find the T-and Z-parameters of the network in Fig. 13-33. The impedances of the capacitors are given. V₁ ΤΩ www Uf- - Ω ΤΩ www HE - Ω7 Fig. 13-33 ΤΩ -jΩ + V2
In Fig. 14-33, three identical transformers are primary wye-connected and secondary delta-connected. Ial N₁ N₁ N₁ N₂ N₂ N₂ Fig. 14-33 Ia2 1c2 162 IL ZL
In Fig. 14-33, three identical transformers are primary wye-connected and secondary delta-connected. A single load impedance carries current I₁ = 30/0° A. Given Ib2 = 20/0° A Ia2 = I₂ = 10/0°
In the coupled circuit of Fig. 14-35, find the input admittance Y1 = I1/V1 and determine the current i1 (t) for v1 = 2√2 cos . υ 1Η M = 1 H HE · 2 Η XIF Fig. 14-35 ΤΩ
Find the input impedance Z1 = V1 /I1 in the coupled circuit of Fig. 14-36. For s = j. 1Η M = H ΖΩ ΤΗ Fig. 14-36 ΤΗ
Find the inverse Laplace transform of each of the following functions.(a)(b)(c)(d)(e)(f)(g) F(s) = S (s + 2)(s + 1)
Consider a series RL circuit, with R = 5 Ω and L = 2.5 mH. At t = 0, when the current in the circuit is 2 A, a source of 50 V is applied. The time-domain circuit is shown in Fig. 16-1. 50u(t)

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