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The examples are shown in phasor notation, which means that a linear system of 2 equations can be developed from each equation. An example of developing and solving the linear equations is shown for the first vector loop equation, with numbers plugged in.
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$$ R_2+R_3-R_4-R_0=0 $$ $$ R_3-R_4 = R_0 - R_2 $$ $$ 7(cos(\theta_3)+jsin(\theta_3)) - 6(cos(\theta_4)+jsin(\theta_4)) = 10.5 - 2.5(cos(\theta_2) + j sin(\theta_2)) $$ |