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Find I2 using mesh analysis.
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Answer: 

Assume current in loop 1 as $I_1$ in clockwise direction . The current  $I_1$leaves the dotted terminal of $j5 \Omega$ while current  $I_2$ enters the dotted terminal of $j10 \Omega$, so we apply dot rule 2.

The controlled sources $j2I_2$ is connected in series with $j5$ and source $j2I_1$is …

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