Question

QUESTION 8 Connect a 50 Q Resistor in series with a 22 uF Capacitor, driven by a (cosine) generator, pushing 12 VRMs at 60 Hz (a) compute the generator's angular frequency] b) determine the capacitor's reactance at this generator frequency [c) determine the total reactance connected to the generator] (d) determine the current from the generator.) [e) determine the Capacitor's RMS voltage.] [f) determine the capacitor's RMS voltage if the generator frequency doubles, but its voltage stays the same] 0.7576 O 0.002070 O 120.6 kg O 170.60 130.50 120.60 757.60

Answer 1

Given R=508 ckt, pinang f 12 VRMS I 60 HZ a (: 22,0F= 22x10 E VRMs = 12v - 60 Hz Angular frequency (es) = 27 f radys = 2x3.14 x 60 rad/s 376.8 models b.) Reactance of capacitor (xe) wee ) 6 376.8 x 22 x 10 A 120.63 C.) Total reactance (x)= Rt Xe sont 120.632 . 170.63% VRMS х d.) Cuosent (R.M.S) of generatoro ( Terms) => 18MSF 12 170,63 A 70.33 MA Maximum current (I) = √2 Iroms 51.414 X 70.33 MA ~ 99.45 mA voltage of of capacitor = IRMS XXe e = 70.33m x 120.6312 ~ 8.5 V 1.) When t'a of, then Xé = 7. So, RMS Widtage across capour too Xe/2 TR+ Xc/2) X VRMS = 6.56V = 6.6V.