$1\mathrm{.}3\mathrm{.}3$ The charge across each capacitor.

$(4)$

$(8080074)$

$[30]$

QUESTION $2$: DC MACHINES

$2\mathrm{.}1$ Name THREE applications of a DC series motor.

$(3)$

$2\mathrm{.}2$ State the function of each of the following relays in a manual faceplate starter for a DC motor:

$2\mathrm{.}2\mathrm{.}1$ No$-$volt relay $($NVR$)$

$2\mathrm{.}2\mathrm{.}2$ Overload relay $($OLR$)$

$(22)$

$2\mathrm{.}3$ A six$-$pole, $300$ V $,$ shunt$-$connected machine takes a current of $25$ A from the supply. The armature is lap$-$wound and has a resistance of $0,2.$ The shunt field resistance is $100$ and the useful flux per pole is $20$ mWb $.$

Calculate the number of armature conductors per slot if the armature has $75$ slots and rotates at $1300\frac{r}{m}in.$

$(8)$

$2\mathrm{.}4$ A $400$ V $,$ four$-$pole, wave$-$wound DC shunt motor has $470$ armature conductors. The shunt field resistance is $150.$

Calculate the torque developed by the motor if the useful flux per pole is $25$ mWb and the motor draws a current of $55$ A from the supply.

QUESTION $3$: AC THEORY

Refer to FIGURE $1$ below, and determine the magnitude of the current flowing through each branch. Leave your answer in a polar form.