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Find Voltage across 5Ω resistor using mesh Analysis.
written 2.5 years ago by gravatar for prajapatijaimin prajapatijaimin • 3.3k modified 2.5 years ago by gravatar for sagarkolekar sagarkolekar ★ 11k

Find Voltage across 5Ω resistor using mesh Analysis.

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electrical network analysis and system
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written 2.5 years ago by gravatar for prajapatijaimin prajapatijaimin • 3.3k

Solution:

$ \begin{aligned} \\ &X_M=K \sqrt{X_1 \cdot X_2}=K \sqrt{(5)(10)}\\\\ &\therefore=0.8 \sqrt{50}\\\\ &=5.65 \Omega\\\\ &\text { KVL to loop (1) }\\\\ &50-j 5 I_1+j 5.65 I_2-2\left(I_1-I_2\right)+j 4\left(I_1-I_2\right)\\\\ &-(2+j) I_1+(2+j 1.65) I_2=-50...(1)\\\\ &\text { KVL to loop (2) }\\\\ &-j 10 I_2+j 5.65 I_1-5 I_2+j 4\left(I_2-I_1\right)-2\left(I_2-I_1\right).\\\\ &(2+j 1.65) I_1-(7+j 6) I_2=0....(2)\\\\ &\text …

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