
Electrical Circuits and Modified MasteringEngineering - With Access
10th Edition
ISBN: 9780133992793
Author: NILSSON
Publisher: PEARSON
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Chapter 9.8, Problem 12AP
To determine
Find the steady-state expression
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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
Chapter 9 Solutions
Electrical Circuits and Modified MasteringEngineering - With Access
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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