Chapter 5, Problem 5.2PT

7. resistance): The practical capacitor can be simplified as the model below (ESR: equivalent series 10 μF ESR W From a datasheet, it is known that a 10 µF aluminum electrolytic capacitor has an impedance of 2800 mOhm at the 100 kHz testing condition. (1) Calculate the ESR under the above testing condition; (2) Calculate the phase shift between the voltage and current at 100 Hz and 10k Hz sinusoidal excitation conditions.

5. A circuit has the following AC sources: y₁ = 5 cos(wt + 30°), y₂ = 4 cos(2wt + 120°), y3 = 3 cos(4wt - 60°), y4 = 6 cos(2wt - 120°), y = 2√2cos(wt - 60°): (1) Identify fundamental sources and harmonics. (2) Using phasor approach to simplify y₁ + y2 y3 y4 y5 as much as possible.

6. A practical 10 μH wire wounded inductor has a series parasitic resistance of 0.4 Ohm, as shown in the figure below. a 10 pH 0.4 Ω W° b If an AC current y₁ = 4cos (20πt + 60°) is supplied to this inductor, (1) calculate the voltage across the inductor terminals a and b. (2) express the inductor terminal voltage and current in the complex plane. (3) calculate the phase shift between inductor terminal voltage and current If an AC current y₂ = 4cos (2000лt + 60°) is supplied to this inductor, (4) calculate the voltage across the inductor terminals a and b. (5) express the inductor terminal voltage and current in the complex plane. (6) calculate the phase shift between inductor terminal voltage and current