Question $1(50$ marks$)$

Consider the AC circuit below where the amplitudes of all sources are measured in peak values.

$($a$)$ Find all the mesh currents in the circuit in clockwise direction.

$(40$ marks$)$

$($b$)$ Find the complex power of the voltage source.

$(10$ marks$)$

Question $2(10$ marks$)$

For the AC circuit in Figure. $1,$ find the average$/$real power of the $20$ resistor. $(10$ marks$)$