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 28E
Making the assumption that the circuits in Fig. 7.51 have been connected for a very long time, determine the value for each current labeled ix.
(a)
(b)
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-E1 + VR1 + VR4 – E2 + VR3 = 0 -------> Loop 1 (a)
R1(I1) + R4(I1 – I2) + R3(I1) = E1 + E2 ------> Loop 1 (b)
R1(I1) + R4(I1) - R4(I2) + R3(I1) = E1 + E2 ------> Loop 1 (c)
(R1 + R3 + R4) (I1) - R4(I2) = E1 + E2 ------> Loop 1 (d)
Now that we have loop 1 equation will procced on finding the equation of I2 current loop. However, a reminder that because we are going in a clockwise direction, it goes against the direction of the current. As such we will get an equation for the matrix that will be:
E2 – VR4 – VR2 + E3 = 0 ------> Loop 2 (a)
-R4(I2 – I1) -R2(I2) = -E2 – E3 ------> Loop 2 (b)
-R4(I2) + R4(I1) - R2(I2) = -E2 – E3 -----> Loop 2 (c)
R4(I1) – (R4 + R2)(I2) = -E2 – E3 -----> Loop 2 (d)
These two equations will be implemented to the matrix formula I = inv(A) * b
R11 R12
(R1 + R3 + R4)
-R4
-R4
R4 + R2
10.2 For each of the following groups of sources, determineif the three sources constitute a balanced source, and if it is,determine if it has a positive or negative phase sequence.(a) va(t) = 169.7cos(377t +15◦) Vvb(t) = 169.7cos(377t −105◦) Vvc(t) = 169.7sin(377t −135◦) V(b) va(t) = 311cos(wt −12◦) Vvb(t) = 311cos(wt +108◦) Vvc(t) = 311cos(wt +228◦) V(c) V1 = 140 −140◦ VV2 = 114 −20◦ VV3 = 124 100◦ V
Apply single-phase equivalency to determine the linecurrents in the Y-D network shown in Fig. P10.13. The loadimpedances are Zab = Zbc = Zca = (25+ j5) W
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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