11. A resistor, inductor, and capacitor are connected in series, each with an ef

Question

11. A resistor, inductor, and capacitor are connected in series, each with an effective (rms) voltage of 65 V, 140 V, and 80 V, respectively. What is the magnitude of the phase angle in this circuit? a. 22° b, 28 c. 37 d. 43 A 50- resistor, a 0.1-H inductor, and a 10-uF capacitor are connected in series to a 60-Hz source. The rms current in the circuit is 3 A. Find the rms voltage across the resistor, the inductor, and the capacitor. a. 150 V, 113 V, 796 V (all rms) b. 0.06 V, 80 V, 562 V (all rms) c. 150 V, 113 V, 562 V (all rms) d. 60 V, 80 V, 796 V (all rms) 12. 13. In an RLC series circuit the phase angle between the current and voltage is 30°. If the AC frequency doubles, what is the resulting phase angle? a. 30° b. more than 30 c. d. less than 30° Additional information is needed to reach a determination.

Explanation / Answer

Question 11) A resistor , inductor and capacitor are connected in series

Now considering the ratios

Vr : Vl : Vc = 65 : 140 : 80

So,

R : Xl : Xc = 65 : 140 : 80

Now , phase constant () = tan^-1(Xl - Xc/R)

= tan^-1(140 - 80/65)

= 43°

Therefore , answer) option d)43°

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