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Find the voltage across the 15Ω resistor in the given network using mesh analysis.

Find the voltage:

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Solution:

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$ \begin{aligned} \\ &\text { Apply KVL to loop (1) }\\\\ &120 \lfloor a-20(a+b)-j 20(b)-j 15(a)=0\\\\ &-(20+j 15) a-(20+j 20) b=-120 \lfloor 0......(1)\\\\ &\text { Apply KVL to second loop }\\\\ &\begin{aligned} \\ &-j 10(a)-j 15(b)-15(a)+j 20(b)+j 15(a)=0 \\\\ &-(15-j 5) a+(j 5) b=0 \\ \end{aligned}\\\\ &\Delta=\left|\begin{array}{cc} \\ -(20+j …

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