Question $(1)5$ Marks

In the circuit shown below, $e(t)=\sqrt[\phantom{2}]{2100}sin40t{v}^{1+\text{d}\text{o}\text{t}\text{s}}r$:dotsdotsdots.

a$)$ The total circuit impedance $(Z_T).$

b$)$ The total current in phasor domain $[$I$].$

c$)$ The total current in the time domain $i(t).$

d$)$ The power factor $(F_P)$ of the circuit.

e$)$ The total power $(P_T)$ absorbed in the circuit.

Question $(2)5$ Marks

In the circuit shown below, using the format approach, write the Mesh equations and Nodal equations.

Question $(3)5$ Marks

In the circuit shown below, $e(t)=\sqrt[\phantom{2}]{260}sint$ volt, find out:

a$)$ The Thevenin's equivalent circuit.

b$)$ The value of $Z_L$ to receive maximum power $(P_{\text{L}\text{m}\text{a}\text{x}})$ from the source

Question $(4)5$ Marks

The line voltage of a power distribution system is $13\mathrm{.}2$ kV $.$ A connected transformer steps down the high$-$voltage wire to $120$ V rms and serves a house as shown below.

$($a$)$ Calculate the turns ratio of the transformer to get $120$ V $.$

$($b$)$ Determine how much current a $100-$W lamp connected to the $120-V$ hot line draws from the highvoltage line.