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Problem 4 Use loop analysis to set the system of equations to solve the circuit below....
In circuit analysis, the mesh current method is used to solve for currents in planar circuits....
In circuit analysis, the mesh current method is used to solve for currents in planar circuits. To solve for the currents, you might produce a set of linear equations such as: 30i1 – 25 + 5(iz – iz) + 10(ių – iz) – 90 = 0 2i2 – 96 + 5(iz - i1) + 4(iz – iz) +93 = 0 20iz + 4 + 4(iz – iz) + 10(i3 – 11) = 0 Rewrite these equations as a matrix equation...
MATLAB 2. Consider the following set of seven equations from a loop mesh circuit, with I...
MATLAB
2. Consider the following set of seven equations from a loop mesh circuit, with I representing current. Define a symbolic variable for each of the equations, and use MATLAB symbolic capability to solve for each unknown current. 311+ 412 + 213 - IA + Is + 716 + 17 211 - 212 + 313 - 414 + 515 + 216 + 817 I1 + 212 +313 + 14 +2I5 +416 +617 511 + 1012 + 413 +314 + 915...
Problem 3. (15 points) Consider the circuit shown below. The arrows show the assumed direction of...
Problem 3. (15 points) Consider the circuit shown below. The arrows show the assumed direction of the current flow 352 5Ω 2 S2 352 12 21 (i) Apply Kirchoff's junction rule and Kirchoff's loop rule to find the necessary set of equations required to solve for the currents, i. Write the equations in matrix form Clearly write out A and b. [Note: This is not the most efficient way to solve this problem. We are not trying to be efficient,...
4. Solve the system of linear equations for the set of points that satisfies all three...
4. Solve the system of linear equations for the set of points that satisfies all three equations. The preferred solution approach is to place the equations in augmented matrix form and provide notation on what you are doing for each step. 2x1 + 6x2 + x3 = 7 X1 + 2x2 - x3 = -1 5x7 + 7x2 - 4x3 = 9
نیا Problem 3. Use the circuit below to answer the following questions. w + Loop I...
نیا Problem 3. Use the circuit below to answer the following questions. w + Loop I Loop 1 ) R: 3 (Loop II Loop II 8. Write a junction equation for the circuit. (A) I,-1,-13 = 0 (B) I, +12-13 = 0 (C) 1,-1, + 13 = 0 (D) I, +12 +13 = 0 (E)-1; +12-13 = 0 9. Write a loop equation for the voltages around Loop I. Start with the voltage across the battery. (A) & +IR -...
Find the solution set of the system of linear equations represented by the augmented matrix. (If...
Find the solution set of the system of linear equations represented by the augmented matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set X3 = t and solve for X1 and X2 in terms of t.) 2 1-1 o] 1 -1 1 0 0 12 3
Use the method of substitution to solve the following system of equations. If the system is...
Use the method of substitution to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form. s 2x + 5y = –21 | 10x + 25y = – 105 Fill in the blank by performing the indicated elementary row operation(s). -4R2+R1
The voltage sources can’t be one right after the other. Construct and solve a compound circuit containing 3 voltage sources and at least 3 resistors. You can choose the values of all components. M...
The voltage sources can’t be one right after the other.
Construct and solve a compound circuit containing 3 voltage sources and at least 3 resistors. You can choose the values of all components. Make sure you have exactly3 different currents in your circuit. If you have more currents, you will have more unknowns. You don't really want to solve a system of 8 equations with 8 unknowns, do you? Work must include: (a) neatly drawn schematic diagram, (b) clearly identified...
Shown in the figure below is an electrical circuit containing three resistors and two batteries, 13...
Shown in the figure below is an electrical circuit containing three resistors and two batteries, 13 w R3 10 R₂ w 12 R w I Write down the Kirchhoff Junction equation and solve it for I, in terms of 12 and 13. Write the result here: 2 + 13 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise. 0 = X Write down the...
1. (20 points total) We will solve the following system of linear equations and express the...
1. (20 points total) We will solve the following system of linear equations and express the problem and solution in various forms. 2x1 + 4x2 + x4 – 25 = 1 2.22 - 3.23 – 24 +2.25 = 1. (a) (2 point) How many free parameters are required to describe the solution set? (b) (5 points) Write the problem in the form of an augmented matrix and use Gauss-Jordan elimination to find the reduced echelon form of the matrix. (c)...
In circuit analysis, the mesh current method is used to solve for currents in planar circuits. To solve for the currents, you might produce a set of linear equations such as: 30i1 – 25 + 5(iz – iz) + 10(ių – iz) – 90 = 0 2i2 – 96 + 5(iz - i1) + 4(iz – iz) +93 = 0 20iz + 4 + 4(iz – iz) + 10(i3 – 11) = 0 Rewrite these equations as a matrix equation...
MATLAB
2. Consider the following set of seven equations from a loop mesh circuit, with I representing current. Define a symbolic variable for each of the equations, and use MATLAB symbolic capability to solve for each unknown current. 311+ 412 + 213 - IA + Is + 716 + 17 211 - 212 + 313 - 414 + 515 + 216 + 817 I1 + 212 +313 + 14 +2I5 +416 +617 511 + 1012 + 413 +314 + 915...
Problem 3. (15 points) Consider the circuit shown below. The arrows show the assumed direction of the current flow 352 5Ω 2 S2 352 12 21 (i) Apply Kirchoff's junction rule and Kirchoff's loop rule to find the necessary set of equations required to solve for the currents, i. Write the equations in matrix form Clearly write out A and b. [Note: This is not the most efficient way to solve this problem. We are not trying to be efficient,...
4. Solve the system of linear equations for the set of points that satisfies all three equations. The preferred solution approach is to place the equations in augmented matrix form and provide notation on what you are doing for each step. 2x1 + 6x2 + x3 = 7 X1 + 2x2 - x3 = -1 5x7 + 7x2 - 4x3 = 9
نیا Problem 3. Use the circuit below to answer the following questions. w + Loop I Loop 1 ) R: 3 (Loop II Loop II 8. Write a junction equation for the circuit. (A) I,-1,-13 = 0 (B) I, +12-13 = 0 (C) 1,-1, + 13 = 0 (D) I, +12 +13 = 0 (E)-1; +12-13 = 0 9. Write a loop equation for the voltages around Loop I. Start with the voltage across the battery. (A) & +IR -...
Find the solution set of the system of linear equations represented by the augmented matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set X3 = t and solve for X1 and X2 in terms of t.) 2 1-1 o] 1 -1 1 0 0 12 3
Use the method of substitution to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form. s 2x + 5y = –21 | 10x + 25y = – 105 Fill in the blank by performing the indicated elementary row operation(s). -4R2+R1
The voltage sources can’t be one right after the other.
Construct and solve a compound circuit containing 3 voltage sources and at least 3 resistors. You can choose the values of all components. Make sure you have exactly3 different currents in your circuit. If you have more currents, you will have more unknowns. You don't really want to solve a system of 8 equations with 8 unknowns, do you? Work must include: (a) neatly drawn schematic diagram, (b) clearly identified...
Shown in the figure below is an electrical circuit containing three resistors and two batteries, 13 w R3 10 R₂ w 12 R w I Write down the Kirchhoff Junction equation and solve it for I, in terms of 12 and 13. Write the result here: 2 + 13 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise. 0 = X Write down the...
1. (20 points total) We will solve the following system of linear equations and express the problem and solution in various forms. 2x1 + 4x2 + x4 – 25 = 1 2.22 - 3.23 – 24 +2.25 = 1. (a) (2 point) How many free parameters are required to describe the solution set? (b) (5 points) Write the problem in the form of an augmented matrix and use Gauss-Jordan elimination to find the reduced echelon form of the matrix. (c)...
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