1. A sinusoidal alternating quantity has a frequency f = 100 Hz. Determine the period T e pulsation .

2. A sinusoidal voltage has the following analytical expression v (t) = 127.8 * sin (942.78 * t).

Determine the effective value Veff and the frequency.

3. An inductor with L = 30 mH is powered by a sinusoidal voltage with Veff = 15 V at the frequency

f = 60 Hz. Determine the rms value of the current Ieff and the exchanged reactive power QL

by the inductor.

4. A series RC bipole with R = 50  and C = 10 F is crossed by a sinusoidal current Ieff = 2.0 A

at frequency f = 100 Hz. Determine the module and phase of the impedance Z.

5. A single-phase power line has RL = 0.4 , XL = 0.5  and powered by a sinusoidal voltage Vi

= 230 V. Determine the percentage voltage drop V%, the active power P and the reactive power QL

supplied to a load that absorbs a current I = 30 A with cos = 0.75.​

What best describes a sonar wave? transverse and electromagnetic transverse and mechanical longitudinal and electromagnetic longitudinal and mechanical

Atwo-stage air compressor operates at steady state, compression 10m^3/min of air from 100 kpa and 300k to 1200 kpa. an intercooler between the two stages cools the air to 300k at a constant pressure of 350 kpa. the compression processes are isentropic. a) calculate the power required to run the compressor, in kw b) compare the result to the power required for isentropic compression from the same inlet state to the same final pressure.

In the future, people will only enjoy one sport: electrodisc. in this sport, you gain points when you cause metallic discs hovering on a field to exchange charge. you are an electrodisc player playing the popular four disc variant. the disks have charges of qa = −8.0 µc, qb = −2.0 µc, qc = +5.0 µc, and qd = +12.0 µc. (1) you bring two disks together and then separate them. you measure the resulting charge of these two disks and find that it is +5.0 µc per disk. which two disks did you bring together? (a) a and b (b) a and c (c)a and d (d)b and c(e) b and d (f) c and d. (2) you bring three disks together and then separate them. you measure the resulting charge of these three disks and find that it is +3.0 µc per disk. which three disks did you bring together? a, b, and c (a) a, b, and d (c) a, c, and d (d) b, c, and d. (3) given the resulting charge of each disk measured in (b) is +3.0 µc, how many electrons would you need to add to a disk of this charge to electrically neutralize it? electrons