Study guide - Module 1 Name___________________________________ 1) Find the period of a periodic wave that has a frequency of 0.2 Hz. A) 50 seconds B) 5 milliseconds C) 0.5 seconds 1) D) 5 seconds 2) Find the frequency of a periodic wave that has a period of one hour. A) 0.278 mHz B) 27.8 mHz C) 278 mHz D) 2.78 mHz 2) 3) What is the phase relationship between voltage v and current i if v = 15 sin(γt + 30°) and i = 20 sin(γt - 10°)? 3) Figure 13.4 4) See Figure 13.4. Write the general voltage equation that describes this waveform. 5) At what frequency does a 10 μF capacitor have a reactance of 100 Ω? A) 159 Hz B) 15.9 kHz C) 1.59 kHz 6) Which one of the following polar values is equivalent to 30 + j40? A) 50 ∠53.1° B) 70 ∠36.9° C) 50 ∠36.9° 4) 5) D) 1.59 MHz 6) D) 70 ∠53.1° 7) Reduce the expression 5 ∠60° + 3 ∠-20°, leaving your answer in rectangular form. 7) 8) What is the total impedance ZT of a series network consisting of a 5 Ω resistor, an inductor having 10 Ω reactance, and a capacitor with 15 Ω reactance? A) 5 Ω - j25 Ω B) 5 Ω - j5 Ω C) 5 Ω + j5 Ω D) 5 Ω + j25 Ω 1 8) Figure 15.2 9) In a series ciruit, R = 50 Ω and XL = 20 Ω. Find ZT and θT. A) 53.85 Ω ∠-68.2° B) 53.85 Ω ∠+68.2° C) 53.85 Ω ∠+21.8° D) 53.85 Ω ∠-21.8° 9) Figure 15.3 10) See Figure 15.3. What is ZT in polar form? A) 5 Ω ∠10° B) 11.2 Ω ∠63.43° 10) C) 10 Ω ∠5° 11) What is the susceptance of a 100 μF capacitor at 1000 Hz? A) 0.63 S B) 10-4 S C) 104 S D) 11.2 Ω ∠26.6° 11) D) 1.59 S Figure 15.4 12) See Figure 15.4. Determine ZT, expressed in rectangular form. A) 64.3 Ω + j76.6 Ω B) 100 Ω + j50 Ω C) 100 Ω + j30 Ω D) 86.6 Ω + j50 Ω 13) What is the capacitive reactance of a 0.47 microfarads capacitor at 4300 Hz? 2 12) 13) 14) What is the total impedance of a 250 mH coil in series with a 4.7 microfarad capacitor at a signal frequency of 1000 Hz? A) 1.54∠90 ohms B) 1.57k∠15 ohms C) 1.8k∠135 ohms D) 35∠0 ohms 3 14) Answer Key Testname: MODULE1_SG 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) D A v leads i by 40° 20 sin(785.4t + 45°) A A 5.32 + j3.3 B C D A D 79 ohms A 4