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.​