QUESTION $1$

a$)$ State and explain Miller's theorem.

$(6$ marks$)$

b$)$ Three impedances of $(7\mathrm{.}07+$ j$7\mathrm{.}07)9,(120$ of j$160)$ are connected in parallel across a $250$ V supply. Calculate:

i$)$ The admittance of the combination.

$(7$ marks$)$

ii$)$ The total current of the circuit.

$(2$ marks$)$

iii$)$ The value of pure reactance which when connected across the supply, will bring the overall power factor to unity

iv$)$ The new value of the total current

$(3$ marks$)$

$(2$ marks$)$