Engineering Circuit Analysis
9th Edition
ISBN: 9780073545516
Author: Hayt, William H. (william Hart), Jr, Kemmerly, Jack E. (jack Ellsworth), Durbin, Steven M.
Publisher: Mcgraw-hill Education,
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Chapter 7, Problem 53E
To determine
Derive an expression for
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Example2:-
8. = e.A nia +2.1 =
Find the maximum steady-state power capability of a system consisting of a
generator equivalent reactance of 0.4pu connected to an infinite bus through a
series reactance of 1.0 p.u. The terminal voltage of the generator is held at1.10 p.u.
and the voltage of the infinite bus is 1.0 p.u.
B) A 60-Hz generator is supplying 60% of P max to an infinite bus through a reactive network.
A fault occurs which increases the reactance of the network between the generator internal
voltage and the infinite bus by 400%. When the fault is cleared, the maximum power that can
be delivered is 80% of the original maximum value. Determine the critical clearing angle for
the condition described.
In the circuit shown, let Vs-9, R₁-8, R2-2, and R3-4. Use Nodal analysis to determine the current lo. In
particular find:
V2=
10=
A
The relative tolerance for this problem is 5 %.
R₁
V₁
+
ww
R₂
Vs
V₂
21
x
R3
Chapter 7 Solutions
Engineering Circuit Analysis
Ch. 7.1 - Determine the current flowing through a 5 mF...Ch. 7.1 - Prob. 2PCh. 7.1 - Prob. 3PCh. 7.2 - 7.4 The current through a 200 mH inductor is shown...Ch. 7.2 - The current waveform of Fig. 7.14a has equal rise...Ch. 7.2 - Prob. 6PCh. 7.2 - Let L = 25 mH for the inductor of Fig. 7.10. (a)...Ch. 7.3 - Find Ceq for the network of Fig. 7.23. FIGURE...Ch. 7.4 - If vC(t) = 4 cos 105t V in the circuit in Fig....Ch. 7.5 - Derive an expression for vout in terms of vs for...
Ch. 7.6 - Prob. 11PCh. 7 - Making use of the passive sign convention,...Ch. 7 - Prob. 2ECh. 7 - (a) If the voltage waveform depicted in Fig. 7.42...Ch. 7 - A capacitor is constructed from two brass plates,...Ch. 7 - Prob. 5ECh. 7 - Prob. 6ECh. 7 - Design a capacitor whose capacitance can be varied...Ch. 7 - Design a capacitor whose capacitance can be varied...Ch. 7 - Prob. 9ECh. 7 - Assuming the passive sign convention, sketch the...Ch. 7 - Prob. 11ECh. 7 - Prob. 12ECh. 7 - Prob. 13ECh. 7 - Calculate the power dissipated in the 40 resistor...Ch. 7 - Prob. 15ECh. 7 - Design a 30 nH inductor using 28 AWG solid soft...Ch. 7 - Prob. 17ECh. 7 - Prob. 18ECh. 7 - Prob. 19ECh. 7 - Prob. 20ECh. 7 - Calculate vL and iL for each of the circuits...Ch. 7 - The current waveform shown in Fig. 7.14 has a rise...Ch. 7 - Determine the inductor voltage which results from...Ch. 7 - Prob. 24ECh. 7 - The voltage across a 2 H inductor is given by vL =...Ch. 7 - Calculate the energy stored in a 1 nH inductor if...Ch. 7 - Determine the amount of energy stored in a 33 mH...Ch. 7 - Making the assumption that the circuits in Fig....Ch. 7 - Calculate the voltage labeled vx in Fig. 7.52,...Ch. 7 - Prob. 30ECh. 7 - Prob. 31ECh. 7 - Determine an equivalent inductance for the network...Ch. 7 - Using as many 1 nH inductors as you like, design...Ch. 7 - Compute the equivalent capacitance Ceq as labeled...Ch. 7 - Prob. 35ECh. 7 - Prob. 36ECh. 7 - Reduce the circuit depicted in Fig. 7.59 to as few...Ch. 7 - Refer to the network shown in Fig. 7.60 and find...Ch. 7 - Prob. 39ECh. 7 - Prob. 40ECh. 7 - Prob. 41ECh. 7 - Prob. 42ECh. 7 - Prob. 43ECh. 7 - Prob. 44ECh. 7 - Prob. 45ECh. 7 - Prob. 46ECh. 7 - Prob. 47ECh. 7 - Let vs = 100e80t V with no initial energy stored...Ch. 7 - Prob. 49ECh. 7 - Prob. 50ECh. 7 - Interchange the location of R1 and Cf in the...Ch. 7 - For the integrating amplifier circuit of Fig....Ch. 7 - Prob. 53ECh. 7 - For the circuit shown in Fig. 7.73, assume no...Ch. 7 - A new piece of equipment designed to make crystals...Ch. 7 - An altitude sensor on a weather balloon provides a...Ch. 7 - One problem satellites face is exposure to...Ch. 7 - The output of a velocity sensor attached to a...Ch. 7 - A floating sensor in a certain fuel tank is...Ch. 7 - (a) If Is = 3 sin t A, draw the exact dual of the...Ch. 7 - Draw the exact dual of the simple circuit shown in...Ch. 7 - (a) Draw the exact dual of the simple circuit...Ch. 7 - (a) Draw the exact dual of the simple circuit...Ch. 7 - Prob. 64ECh. 7 - Prob. 65ECh. 7 - Prob. 66ECh. 7 - Prob. 67ECh. 7 - Prob. 68ECh. 7 - Prob. 69ECh. 7 - Prob. 70ECh. 7 - For the circuit of Fig. 7.28, (a) sketch vout over...Ch. 7 - (a) Sketch the output function vout of the...Ch. 7 - For the circuit of Fig. 7.72, (a) sketch vout over...
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- 1. Choose all nodes that must be included, if any, to construct the supernode for Nodal analysis. OV1, V3 OV1, V2 ○ V2, V3 OV1, V2, V4 OV1, V2, V3 O V2, V3, V4 2. Write KCL equation (Nodal equation) at super-node. Write your expression in terms of node voltages V1, V2, V3 and V4 and of the form (G11 V1+G12 V2+G13 V3+G14 V4 = 11), then enter the corresponding values: At super-node KCL: 1/Q G11 1/0 G12 1/Ω G13 1/Q G14 A 3. Use the above equation, the circuit and and super-node inner expression to calculate V3 and then lo : V3= V 10 = R3 Vst + A V₁ + VS2 V₂ V3 w W R₁ R₂ R4 ww R5 V4 V$3arrow_forwardEnter the matrix values (numerical) to solve for voltages at nodes v1, and v2, for the circuit shown, using Nodal equations. In the matrix, row 1, and row 2, correspond to node v1, and node v2 current expressions, respectively. Let Is1=14, Is2=7, R₁=5, R₂-8, R3=2, and R4-5. [G11 G12] [Vi₁ The matrix values are shown here: = G21 G22 [V2] [41] [12] {Hint: As discussed in class and to avoid sign errors, assume nodal currents are locally defined at each node (leaving) and use node labeling as indicated in the circuit. } The relative tolerance for this problem is 5%. VI R2 ww Isl 12 NODE v1 G11 G12 RI 1/Q 1/0 A 4= NODE v2 G21- 1/Q G22 1/0 12 W A === www R3 R4 www Use Cramer's rule (matrix), substitution, or any other method to calculate the voltages: v1 = V v2= V Is2arrow_forwardOnly expert should attemptarrow_forward
- For the circuit shown below, let l₁ = 9, 1₂ = 14, 13= 12, R₁ = 3, R₂ = 8, and R3 = 5. Use nodal equations to determine V1, V2 and I, as follows: • Consider Node 1, obtain a nodal equation in terms of V₁ and V₂ voltages. Simplify your equation to the format 1V1 + b,V₂ = c, then enter the corresponding values of coefficients b₁ and c₁ 1. b₁ =( C₁ = • Now consider Node 2, obtain a second nodal equation in terms of V₁ and V2 voltages. Simplify your equation to the format -1V₁+b2V2=c2 then enter the corresponding values of coefficients b₂ and c₂ 2. (b₂ = value.) ,၄၇ = - 3. Use (1) and (2) to determine V₂ = 4. Determine V₁ 5. Determine | = i 12 V₁ R1 20 www R2 ww I The relative tolerance for this problem is 5%. R3 This is not a decimal or integer www i3arrow_forwardFor the circuit shown, let V1 = 19 V, Vs2 = 76 V, R₁ = 9, R2 = 9, and R3 = 7. Use Nodal analysis to determine the voltage V2 and the current lo, choose the closet values: V2- 4.788 10 = ○ 2.28 11.978 17.761 35.522 23.957 -9.146 8.32 10.173 A O-7.435 O-5.783 10.531 V sl ་ ་ ་ ན ་་་ ་ ་ ་ ་ ་ ་ ་ ་ +1 ww R₁ R₂ ww R3 Io +1 VS2arrow_forwardNO AI PLEASEarrow_forward
- NO AI PLEASEarrow_forwardProblem 4 Consider the following system. In the figure, y(t) denotes the displacement of the mass and u(t) denotes the force applied to the mass. b1 u(t) y(t) + b2 M 0000 0000 K1 K2 a) Find the differential equation model of the system. b) Find the state-space model for the system. Write x, A, B, C and D clearly in your answer.arrow_forwardNO AI PLEASEarrow_forward
- Not use ai pleasearrow_forwardShow workarrow_forwardProblem 1 (a) Suppose the Laplace transform of a causal signal x₁ (t) is given by S X₁(s) = 52 +2 Using the Laplace transform properties, find the Laplace transform of the following signal x2(t). x2(t) = e2t+1 x₁(t − 1) - tx₁(2t - 1) (b) Suppose an LTI system T whose impulse response is given by h(t) e 2t 1(t) t 1(t) +28(t) What is the transfer function of the system? (c) If the input x2 (t) is applied to the system T, what will be the output Y₂(s)? Note, you just need to provide Laplace transform of the output y₂(t). Simplification is not needed in any part of this question.arrow_forward
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