College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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I am looking for some help with a Linear Algebra matrix problem involving circuit analysis for Loops A and B as shown in the figure (ignoring the outer loop).

Eventually I am to use an augmented matrix when when reduced yields the three currents, but I applied Kirchoff's Law and my work as attached seems to be incorrect and I'm not sure why.

If I get could get help in understanding how to clearly approach this problem that would be great.  Thank you.

30 to www m 4요. 5 ||- HAT gall Is = I Loop 농.3 Egn Egn. 2 Loop B: 23: E87.3: +I 2 13 ww 20. 2 I₂ 20 B Ia In It w + q I + 6 + 3 I=0 + 71₁ +6=0 402 q I. I 160 2 [I, Iz) +7I, th co QI, +2I2 ㅗFI +6=0 91₁ +21₂ +6=0 B 2 Is to I2 +2 + Y 20 2 I3 + 10 I2 +12-0 2(5+2) +103 +12=0 FT +25 HOI2 +12 20 + 12: I. + 6I2 +6 =0 흔, 높은 In = I, + I2 = 봄 - 13 - 2I2 +66 + b It 6 8I, -4I2 +0=0 ㅠㅠㅠ 2 I-2-0 I=I2 I. + G (2I,) +6=0 I, t 12 5 +6 20 13 I₁ +6=0 I b -묶 자동)=I2 -12 I₂' 13
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Transcribed Image Text:30 to www m 4요. 5 ||- HAT gall Is = I Loop 농.3 Egn Egn. 2 Loop B: 23: E87.3: +I 2 13 ww 20. 2 I₂ 20 B Ia In It w + q I + 6 + 3 I=0 + 71₁ +6=0 402 q I. I 160 2 [I, Iz) +7I, th co QI, +2I2 ㅗFI +6=0 91₁ +21₂ +6=0 B 2 Is to I2 +2 + Y 20 2 I3 + 10 I2 +12-0 2(5+2) +103 +12=0 FT +25 HOI2 +12 20 + 12: I. + 6I2 +6 =0 흔, 높은 In = I, + I2 = 봄 - 13 - 2I2 +66 + b It 6 8I, -4I2 +0=0 ㅠㅠㅠ 2 I-2-0 I=I2 I. + G (2I,) +6=0 I, t 12 5 +6 20 13 I₁ +6=0 I b -묶 자동)=I2 -12 I₂' 13
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