Problem 3 Calculate the electrical currents i1, 12, 13, 14 in the circuit shown in Fig....

Transcribed Image Text:

Problem 3 Calculate the electrical currents i1, 12, 13, 14 in the circuit shown in Fig. 1, see lecture #7 for details. r3 [₂ 18 17 n Figure 1: A resistor network with two voltage sources, where V₁ = 15 V, V₂ = 55 V, r₁= 5 N, T₂ = 10 N, T3 = 3 , r4 = 6 N, T5 = 7, r6 = 9, r7 = 13 N, rg = 78 N. r₁+1₂+r4 -12 0 -TA The currents can be determined from the solution of the following system of linear equations (lec- ture#7) (Eq. (1)): -72 12 +13 +r5 -75 0 2 0 -75 75+77 +78 -77 -T4 0 -17 r4 +r6+r7 24 [T] 0 (1) [A] [b] • Use the Jacobi iteration method carrying out seven iterations¹. Lecture's and seminar's codes can be used. - If you use a calculator write all steps. If you use MATLAB®, print your code or the list of commands you used. Print results for every iteration including residuals for each equation. Use 'format short'. Any MATLAB® codes from lectures and seminars can be used to solve this problem. Problem 3 Calculate the electrical currents i1, 12, 13, 14 in the circuit shown in Fig. 1, see lecture #7 for details. r3 [₂ 18 17 n Figure 1: A resistor network with two voltage sources, where V₁ = 15 V, V₂ = 55 V, r₁= 5 N, T₂ = 10 N, T3 = 3 , r4 = 6 N, T5 = 7, r6 = 9, r7 = 13 N, rg = 78 N. r₁+1₂+r4 -12 0 -TA The currents can be determined from the solution of the following system of linear equations (lec- ture#7) (Eq. (1)): -72 12 +13 +r5 -75 0 2 0 -75 75+77 +78 -77 -T4 0 -17 r4 +r6+r7 24 [T] 0 (1) [A] [b] • Use the Jacobi iteration method carrying out seven iterations¹. Lecture's and seminar's codes can be used. - If you use a calculator write all steps. If you use MATLAB®, print your code or the list of commands you used. Print results for every iteration including residuals for each equation. Use 'format short'. Any MATLAB® codes from lectures and seminars can be used to solve this problem.

Answer rating: 100% (QA)

To solve for the electrical currents i1 i2 i3 i4 in the circuit we are given a system of linear equations that can be represented in matrix form Given ... View the full answer