Electric Circuits (10th Edition)
10th Edition
ISBN: 9780133760033
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Chapter 4, Problem 4P
(a)
To determine
Find the sum of current at each essential node
(b)
To determine
Prove that any one of the equation in Part (a) is derived from the remaining three equations.
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Chapter 4 Solutions
Electric Circuits (10th Edition)
Ch. 4.2 - a) For the circuit shown, use the node-voltage...Ch. 4.2 - Use the node-voltage method to find v in the...Ch. 4.3 - Use the node-voltage method to find the power...Ch. 4.4 - Use the node-voltage method to find vo in the...Ch. 4.4 - Use the node-voltage method to find v in the...Ch. 4.4 - Use the node-voltage method to find v1 in the...Ch. 4.5 - Use the mesh-current method to find (a) the power...Ch. 4.6 - Determine the number of mesh-current equations...Ch. 4.6 - Use the mesh-current method to find vo in the...Ch. 4.7 - Use the mesh-current method to find the power...
Ch. 4.7 - Use the mesh-current method to find the mesh...Ch. 4.7 - Use the mesh-current method to find the power...Ch. 4.8 - Find the power delivered by the 2 A current source...Ch. 4.8 - Find the power delivered by the 4 A current source...Ch. 4.9 - Use a series of source transformations to find the...Ch. 4.10 - Find the Thévenin equivalent circuit with respect...Ch. 4.10 - Prob. 17APCh. 4.10 - Prob. 18APCh. 4.11 - Find the Thévenin equivalent circuit with respect...Ch. 4.11 - Find the Thévenin equivalent circuit with respect...Ch. 4.12 - Find the value of R that enables the circuit shown...Ch. 4.12 - Assume that the circuit in Assessment Problem 4.21...Ch. 4 - For the circuit shown in Fig. P4.1, state the...Ch. 4 - If only the essential nodes and branches are...Ch. 4 - Assume the voltage vs in the circuit in Fig. P4.3...Ch. 4 - A current leaving a node is defined as...Ch. 4 - How many separate parts does the circuit in Fig....Ch. 4 - Use the node-voltage method to find vo in the...Ch. 4 - Find the power developed by the 40 mA current...Ch. 4 - A 50 Ω resistor is connected in series with the 40...Ch. 4 - Use the node-voltage method to find how much power...Ch. 4 - Use the node-voltage method to show that the...Ch. 4 - Use the node-voltage method to find the branch...Ch. 4 - Use the node-voltage method to find v1 and v2 in...Ch. 4 - Use the node-voltage method to find v1 and v2 in...Ch. 4 - Use the node-voltage method to find v1, v2, and v3...Ch. 4 - The circuit shown in Fig. P4.14 is a dc model of a...Ch. 4 - Use the node-voltage method to find the total...Ch. 4 - Use the node-voltage method to find vo in the...Ch. 4 - Use the node-voltage method to calculate the power...Ch. 4 - Use the node-voltage method to find the total...Ch. 4 - Use the node voltage method to find vo for the...Ch. 4 - Find the node voltages v1, v2, and v3 in the...Ch. 4 - Use the node-voltage method to find υ0 and the...Ch. 4 - Use the node-voltage method to find the value of...Ch. 4 - Use the node-voltage method to find io in the...Ch. 4 - Use the node-voltage method to find the power...Ch. 4 - Use the node-voltage method to find vo in the...Ch. 4 - Use the node-voltage method to find the branch...Ch. 4 - Use the node-voltage method to find the value of...Ch. 4 - Assume you are a project engineer and one of your...Ch. 4 - Use the node-voltage method to find the power...Ch. 4 - Show that when Eqs. 4.13, 4.14, and 4.16 are...Ch. 4 - Use the mesh-current method to find the branch...Ch. 4 - Solve Problem 4.11 using the mesh-current...Ch. 4 - Solve Problem 4.14 using the mesh-current...Ch. 4 - Solve Problem 4.26 using the mesh-current...Ch. 4 - Use the mesh-current method to find the total...Ch. 4 - Solve Problem 4.25 using the mesh-current...Ch. 4 - Solve Problem 4.17 using the mesh-current...Ch. 4 - Use the mesh-current method to find the power...Ch. 4 - Use the mesh-current method to find the power...Ch. 4 - Use the mesh-current method to find υ0 in the...Ch. 4 - Use mesh-current method to find the power...Ch. 4 -
Use the mesh-current method to solve for iΔ in...Ch. 4 - Solve Problem 4.10 using the mesh-current...Ch. 4 - Solve Problem 4.21 using the mesh-current...Ch. 4 - Use the mesh-current method to find the total...Ch. 4 - Use the mesh-current method to find how much power...Ch. 4 - Use the mesh-current method to determine which...Ch. 4 - Use the mesh-current method to find the total...Ch. 4 - Prob. 50PCh. 4 - Solve Problem 4.23 using the mesh-current...Ch. 4 - Use the mesh-current method to find the branch...Ch. 4 - Find the branch currents ia − ie for the circuit...Ch. 4 - Assume you have been asked to find the power...Ch. 4 - A 4 kΩ resistor is placed in parallel with the 10...Ch. 4 - Would you use the node-voltage or mesh- current...Ch. 4 - Prob. 57PCh. 4 - The variable de voltage source in the circuit in...Ch. 4 - Make a series of source transformations to find...Ch. 4 - Prob. 60PCh. 4 - Use source transformations to find the current io...Ch. 4 - Use a series of source transformations to find i0...Ch. 4 - Use source transformations to find vo in the...Ch. 4 - Prob. 64PCh. 4 - Find the Norton equivalent with respect to the...Ch. 4 - Prob. 66PCh. 4 - Find the Thévenin equivalent with respect to the...Ch. 4 - Prob. 68PCh. 4 - A Thévenin equivalent can also be determined from...Ch. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Prob. 72PCh. 4 - The Wheatstone bridge in the circuit shown in Fig....Ch. 4 - Prob. 74PCh. 4 - Find the Norton equivalent with respect to the...Ch. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Find the Thévenin equivalent with respect to the...Ch. 4 - Find the Thévenin equivalent with respect to the...Ch. 4 - Prob. 80PCh. 4 - Find the Norton equivalent with respect to the...Ch. 4 - The variable resistor in the circuit in Fig. P4.82...Ch. 4 - Prob. 83PCh. 4 - a) Calculate the power delivered for each value of...Ch. 4 - Find the value of the variable resistor Ro in the...Ch. 4 - A variable resistor R0 is connected across the...Ch. 4 - The variable resistor (R0) in the circuit in Fig....Ch. 4 - The variable resistor in the circuit in Fig. P4.91...Ch. 4 - The variable resistor (RL) in the circuit in Fig....Ch. 4 - The variable resistor (RO) in the circuit in Fig....Ch. 4 - In the circuit in Fig. P4.92, before the 5 mA...Ch. 4 - Use the principle of superposition to find the...Ch. 4 -
Use superposition to solve for and υ0 in the...Ch. 4 - Prob. 95PCh. 4 - Use the principle of superposition to find the...Ch. 4 - Prob. 97PCh. 4 - Use the principle of superposition to find the...Ch. 4 - Assume your supervisor has asked you to determine...Ch. 4 - Prob. 100PCh. 4 - Prob. 101PCh. 4 - Prob. 102PCh. 4 - Laboratory measurements or a dc voltage source...Ch. 4 - Prob. 104PCh. 4 - Prob. 105PCh. 4 - Repeat Problem 4.105 if Ig2 increases to 17 A and...Ch. 4 - Prob. 107PCh. 4 - Use the results given in Table 4.2 to predict the...
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- I need help checking if its correct -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 + R2arrow_forward10.2 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◦ Varrow_forwardApply 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) Warrow_forward
- 10.8 In the network of Fig. P10.8, Za = Zb = Zc = (25+ j5) W.Determine the line currents.arrow_forwardUsing D flip-flops, design a synchronous counter. The counter counts in the sequence 1,3,5,7, 1,7,5,3,1,3,5,7,.... when its enable input x is equal to 1; otherwise, the counter count 0. Present state Next state x=0 Next state x=1 Output SO 52 S1 1 S1 54 53 3 52 53 S2 56 51 0 $5 5 54 S4 53 0 55 58 57 7 56 56 55 0 57 S10 59 1 58 58 S7 0 59 S12 S11 7 $10 $10 59 0 $11 $14 $13 5 $12 S12 $11 0 513 $15 SO 3 S14 $14 S13 0 $15 515 SO 0 Explain how to get the table step by step with drawing the state diagram and finding the Karnaugh map.arrow_forwardFor the oscillator resonance circuit shown in Fig. (5), derive the oscillation frequency Feedback and open-loop gains. L₁ 5 mH (a) ell +10 V R₁ ww R3 S C2 HH 1 με 1000 pF 100 pF R₂ 1 με RA H (b) +9 V R4 CA 470 pF C₁ R3 HH 1 με R₁ ww L₁ 000 1.5 mH R₂ ww Hi 1 μF L2 m 10 mHarrow_forward
- Expert handwritten solution onlyarrow_forwardB. For the oscillator circuit shown in frequency, feedback and open-loop gains. +10 V name the circuit, derive and find the oscillation P.Av +9 V -000 4₁ 5 mH w R₁ C₂ HH 1 με w 100 pF R₂ T R CA www. 470 pF w ww www 1000 pF HH 1μF C₁ HH 1μF Ra ww HI 4₁ 000 1.5 mH H 4 AF 000 10 mHarrow_forwardI want to check if the current that I have from using the mesh analysis is correct? I1 = 0.214mA I2 = -0.429mAarrow_forward
- I want to find the current by using mesh analysis pleasearrow_forwardI want to find the current by using mesh analysis pleasearrow_forwardR₁ W +10 V R3 +9 V C₂ R₁ CA C₁ 470 pF HH 1000 pF HH 1 με C4 1 μF 1 uF C₁ R₂ R4 100 pF Find Open-loop Jain L₁ 5 mH (a) Av=S,B={" H R₁₂ ✓ ww (b) R₁ L₁ 000 1.5 mH R₂ H 1 uF 12 10 mHarrow_forward
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