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Problem #7 R, = 4 2 A R, = 3 2 R3 = 72 V, = 12V R,=22 R¸ = 5 2 V2 = 6 V G Assume all given values are known to three (3) significant figures. Express voltage in volts (V), current in amperes (A), and power in watts (W). Questions Utilize the node-voltage method for your solution. For consistency, let I1, I2, I3, I4, and Is be the branch currents through resistors R1, R2, R3, R4, and Rs respectively. a) Re-draw the schematic with arrows to show the branch currents that are either entering or leaving nodes A and B. Include the new drawing in your document. Note: It is your choice which direction you want to point the arrows. Once you have decided, be consistent when writing the circuit equations. B.

Problem #7 R, = 4 2 A R, = 3 2 R3 = 72 V, = 12V R,=22 R¸ = 5 2 V2 = 6 V G Assume all given values are known to three (3) significant figures. Express voltage in volts (V), current in amperes (A), and power in watts (W). Questions Utilize the node-voltage method for your solution. For consistency, let I1, I2, I3, I4, and Is be the branch currents through resistors R1, R2, R3, R4, and Rs respectively. a) Re-draw the schematic with arrows to show the branch currents that are either entering or leaving nodes A and B. Include the new drawing in your document. Note: It is your choice which direction you want to point the arrows. Once you have decided, be consistent when writing the circuit equations. B.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Please help with the 3 sub questions below.

d) Calculate the nodal voltages VA and VB 

h)Calculate the value of the current through resistor 4

j) In what direction is the branc current actually flowing through R3? Justify your answer.

Problem #7 R, = 4 N A R, = 3 N в R3 = 72 V, = 12V R, = 2 N R_ = 52 V2 = 6 V G Assume all given values are known to three (3) significant figures. Express voltage in volts (V), current in amperes (A), and power in watts (W). Questions Utilize the node-voltage method for your solution. For consistency, let I1, I2, I3, I4, and Iş be the branch currents through resistors R1, R2, R3, R4, and Rs respectively. a) Re-draw the schematic with arrows to show the branch currents that are either entering or leaving nodes A and B. Include the new drawing in your document. Note: It is your choice which direction you want to point the arrows. Once you have decided, be consistent when writing the circuit equations. b) Write the KCL equations at node A and at node B in terms of the branch currents I thru Is. c) Expand the KCL equations in terms of the unknown voltages VA and Vg and express your final set of simultaneous equations in matrix-vector format (i.e., Mx = b, where M is the matrix of linear coefficients, x is the vector of unknown variables, and b is the vector of constants). d) Calculate the nodal voltages V¼ and V8 (i.e., the voltages at nodes A and B w.r.t. ground) e) Calculate the value of the current through resistor R1. f) Calculate the value of the current through resistor R2. g) Calculate the value of the current through resistor R3. h) Calculate the value of the current through resistor R4. i) Calculate the value of the current through resistor Rs. j) In what direction is the branch current actually flowing through R3 (toward node A or away from A)? Justify your answer.
Transcribed Image Text:Problem #7 R, = 4 N A R, = 3 N в R3 = 72 V, = 12V R, = 2 N R_ = 52 V2 = 6 V G Assume all given values are known to three (3) significant figures. Express voltage in volts (V), current in amperes (A), and power in watts (W). Questions Utilize the node-voltage method for your solution. For consistency, let I1, I2, I3, I4, and Iş be the branch currents through resistors R1, R2, R3, R4, and Rs respectively. a) Re-draw the schematic with arrows to show the branch currents that are either entering or leaving nodes A and B. Include the new drawing in your document. Note: It is your choice which direction you want to point the arrows. Once you have decided, be consistent when writing the circuit equations. b) Write the KCL equations at node A and at node B in terms of the branch currents I thru Is. c) Expand the KCL equations in terms of the unknown voltages VA and Vg and express your final set of simultaneous equations in matrix-vector format (i.e., Mx = b, where M is the matrix of linear coefficients, x is the vector of unknown variables, and b is the vector of constants). d) Calculate the nodal voltages V¼ and V8 (i.e., the voltages at nodes A and B w.r.t. ground) e) Calculate the value of the current through resistor R1. f) Calculate the value of the current through resistor R2. g) Calculate the value of the current through resistor R3. h) Calculate the value of the current through resistor R4. i) Calculate the value of the current through resistor Rs. j) In what direction is the branch current actually flowing through R3 (toward node A or away from A)? Justify your answer.
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