Problem $1$:

Based on the circuit diagram below, draw a phasor diagram to scale using $20\frac{V}{c}m$ and $0\mathrm{.}4\frac{A}{c}m.$ If $V_1$ is represented by an arrow $1\mathrm{.}6$ cm long at an angle of $-90$ degrees and $V_2$ by a $2\mathrm{.}0$ cm long arrow an undesignated angle and $I_s$ by $1\mathrm{.}8$ cm long arrow at an angle of $-90$ degrees, find the impedance of the $($a$)$ inductor $($b$)$ capacitor $($c$)$ resistor. USE A PHASOR DIAGRAM