
Electric Circuits (10th Edition)
10th Edition
ISBN: 9780133760033
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Chapter 9, Problem 11P
a.
To determine
Convert the given sinusoidal function
b.
To determine
Convert the given sinusoidal function
c.
To determine
Convert the given sinusoidal function
d.
To determine
Convert the given sinusoidal function
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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 9 Solutions
Electric Circuits (10th Edition)
Ch. 9.3 - Prob. 1APCh. 9.3 - Prob. 2APCh. 9.4 - Prob. 3APCh. 9.4 - Prob. 4APCh. 9.5 - Four branches terminate at a common node. The...Ch. 9.6 - A 20 resistor is connected in parallel with a 5...Ch. 9.6 - The interconnection described in Assessment...Ch. 9.6 - Prob. 9APCh. 9.7 - Find the steady-state expression for vo (t) in the...Ch. 9.7 - Find the Thévenin equivalent with respect to...
Ch. 9.8 - Use the node-voltage method to find the...Ch. 9.9 - Use the mesh-current method to find the phasor...Ch. 9.10 - Prob. 14APCh. 9.11 - The source voltage in the phasor domain circuit in...Ch. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Consider the sinusoidal voltage
What is the...Ch. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - The rms value of the sinusoidal voltage supplied...Ch. 9 - Find the rms value of the half-wave rectified...Ch. 9 - Prob. 8PCh. 9 - Prob. 9PCh. 9 - Verify that Eq. 9.7 is the solution of Eq. 9.6....Ch. 9 - Use the concept of the phasor to combine the...Ch. 9 - Prob. 12PCh. 9 - A 50 kHz sinusoidal voltage has zero phase angle...Ch. 9 - The expressions for the steady-state voltage and...Ch. 9 - A 25 Ω resistor, a 50 mH inductor, and a 32 μF...Ch. 9 - A 25 Ω resistor and a 10mH inductor are connected...Ch. 9 - Three branches having impedances of , and ,...Ch. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Show that at a given frequency ω, the circuits in...Ch. 9 - Show that at a given frequency ω, the circuits in...Ch. 9 - Find the impedance Zab in the circuit seen in Fig....Ch. 9 - Find the admittance Yab in the circuit seen in...Ch. 9 - For the circuit shown in Fig. P9.24, find the...Ch. 9 - Prob. 25PCh. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 9 - Find the steady-state expression for io(t) in the...Ch. 9 - Prob. 29PCh. 9 - The circuit in Fig. P9.30 is operating in the...Ch. 9 - Prob. 31PCh. 9 - Find Ib and Z in the circuit shown in Fig. P9.35...Ch. 9 - Find the value of Z in the circuit seen in Fig....Ch. 9 - Prob. 34PCh. 9 - The circuit shown in Fig. P9.35 is operating in...Ch. 9 - The frequency of the sinusoidal voltage source in...Ch. 9 - The frequency of the source voltage in the circuit...Ch. 9 - The frequency of the sinusoidal voltage source in...Ch. 9 - Prob. 40PCh. 9 - The circuit shown in Fig. P9.40 is operating in...Ch. 9 - Find Zab for the circuit shown in Fig P9.42.
Ch. 9 - The sinusoidal voltage source in the circuit in...Ch. 9 - Prob. 44PCh. 9 - Use source transformations to find the Thévenin...Ch. 9 - Find the Norton equivalent circuit with respect to...Ch. 9 - The device in Fig. P9.47 is represented in the...Ch. 9 - Find the Thévenin equivalent circuit with respect...Ch. 9 - Find the Norton equivalent circuit with respect to...Ch. 9 - The circuit shown in Fig. P9.53 is operating at a...Ch. 9 - Find Zab in the circuit shown in Fig. P9.52 when...Ch. 9 - Prob. 53PCh. 9 - Use the node-voltage method to find V0 in the...Ch. 9 - Use the node-voltage method to find the phasor...Ch. 9 - PSPICEMULTISIM Use the node-voltage method to find...Ch. 9 - PSPICEMULTISIM Use the node-voltage method to find...Ch. 9 - Use the node-voltage method to find the phasor...Ch. 9 - Prob. 59PCh. 9 - Prob. 60PCh. 9 - Use the mesh-current method to find the...Ch. 9 - Prob. 62PCh. 9 - Prob. 63PCh. 9 - Use the mesh-current method to find the...Ch. 9 - Prob. 65PCh. 9 - Use the concept of current division to find the...Ch. 9 - For the circuit in Fig. P9.67, suppose
What...Ch. 9 - For the circuit in Fig. P9.68, suppose
What...Ch. 9 - Prob. 69PCh. 9 - The 0.5 μF capacitor in the circuit seen in Fig....Ch. 9 - The op amp in the circuit in Fig. P9.69 is...Ch. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Prob. 74PCh. 9 - Prob. 75PCh. 9 - Prob. 76PCh. 9 - The sinusoidal voltage source in the circuit seen...Ch. 9 - A series combination of a 60 Ω resistor and a 50...Ch. 9 - Prob. 79PCh. 9 - Prob. 80PCh. 9 - Prob. 81PCh. 9 - Prob. 82PCh. 9 - Prob. 84PCh. 9 - Prob. 85PCh. 9 - Prob. 87PCh. 9 - Prob. 88PCh. 9 - Prob. 89PCh. 9 - Prob. 90P
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