Question $4$

A single$-$phase a$.$c$.$ distributor $AB$ is fed from end A and has a total impedance of $(0\mathrm{.}2+j0\mathrm{.}3)$ ohm. At the far end, the voltage $V_B=240V$ and the current is $100$ A at a p$.$f$.$ of $0\mathrm{.}8$ lagging. At the mid$-$point M $,$ a current of $100$ A is tapped at a p$.$f$.$ of $0\mathrm{.}6$ lagging with reference to the voltage $V_M$ at the mid$-$point.

Calculate the supply voltage VA and phase angle between $V_A$ and $V_B.$

Answer