Module 3: Series and parallel AC circuits

1. Assume $v(t)=7sin(\omega t+{30}^{\circ })$; Find the missing element and its impedance to obtain current $i(t)=0.451sin(\omega t+{105.069}^{\circ })$:

16 kΩ capacitor

16 kΩ inductor

7 kΩ inductor

7 kΩ capacitor

$R=4k\mathrm{\Omega }\text{ , }{X}_C=8k\mathrm{\Omega }$

2. Which one is the missing element to obtain total admittance $Y_T=1-j0.367k\mathrm{\Omega }$:

1 kΩ resistor

6 kΩ inductor

1 kΩ inductor

6 kΩ resistor

$R=1k\mathrm{\Omega }\text{ , }{X}_L=5k\mathrm{\Omega }$

3. Drag and drop the values to match the correct currents (in mA) if $v(t)=50sin(\omega t+{80}^{\circ })$:

• $I$
• $I_1$
• $I_2$

• 1.0 ∠46.3°
• 3.1 ∠154.7°
• 3.5 ∠−10.0°

$R=3k\mathrm{\Omega }\text{ , }{X}_L=10k\mathrm{\Omega }\text{ , }{X}_C=11k\mathrm{\Omega }$