$[15$ marks$]$A given circuit operating at $\backslash (500\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash )$ is driven by a voltage $\backslash ($ V$\_\{$s$\}=200\backslash$angle $0^\{\backslash$circ$\}$ V $\backslash ),$ and has a driving point admittance $\backslash ($ Y$\_\{$D$\}=1\mathrm{.}25\backslash$angle $36^\{\backslash$circ$\}\backslash$mathrm$\{$m$\}\backslash$mho $\backslash )$

i$.$ State, with reason, whether the circuit impedance is capacitive or inductive

ii$.$ Draw the equivalent circuit impedance as a series combination of components and give their values

iii. Draw the circuit impedance as a parallel combination of components and give their values

iv$.$ Determine the r$.$m$.$s supply voltage

v$.$ Determine the effective current drawn from the source, and give its expression in sinusoidal form.

vi$.$ Determine, giving units, the circuit's

I. instantaneous power

II$.$ average power

III. complex power

IV$.$ apparent power

V$.$ real power

VI$.$ reactive power

VII. power factor