Chapter-23. Alternating Current Cireuits 5. The voltage across and the are shown

Question

Chapter-23. Alternating Current Cireuits 5. The voltage across and the are shown in the graph. current through a single cireuit element connected to an ac generator Sa Which one of the following statements concerning this cireuit element is true? 90 V A) The element is a resistor. B) The element is a capacitor. C) The element is an inductor. D) The element could be a resistor or an inductor. E) The element could be an inductor or a capacitor. 5A 15 s 5b. Determine the rms current through this circuit element A) 1.00 A B) 1.31 A C) 2.42 A D) 3.53 A E) 4.65 A 5c. Determine the reactance of this circuit element. A) 12 ) 18 C)24 D)38 5d. Determine the frequency of the generator A) 50 Hz B) 130 Hz C) 140 D) 150

Explanation / Answer

5 a)

C)

since the current lags voltage by 90 deg as seen from the graph

b)

imax = 5 A

rms current is given as

irms = imax/sqrt(2)

irms = 5/sqrt(2) = 3.53 A

c)

reactance = Vmax/imax = 90/5 = 18 ohm

d)

D

2T + T/4 = 0.015

9T/4 = 0.015

1/T = 150

f = 150 Hz

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