QUESTION $2$

Using the Node$-$voltage Analysis method, determine $($a$)$ the current through the $5-$ resistor $($magnitude and direction$)$ and

$[18]$

$($b$)$ the voltage, $V_a,($with polarity$)$ in the network of Figure Q$2\mathrm{.}1.$

Start by first sketching$/$drawing the network, duly prepared for the 'smooth' application of Node$-$voltage analysis $(5\mathrm{.}0$ marks$),$ then by writing the node$-$voltage equations $(4\mathrm{.}0$ marks$)$ and then solving them for the desired unknown quantities $(9\mathrm{.}0$ marks$).$