Question

QUESTION 9 Connect a 50 0 Resistor in series with a 22 pF 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 impedance 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.] O 70.6 0 O 170.60 O 130.50 O 13.06 0 O 17038

Answer 1

@ Angular frequency, anf 215x60 = 1200 w=1200 rad/s (b Capacitor's reactanu, - Xe= Wc 1207TX 22X166 X = 120.633 r =) X = 120.6 Impedence: 2= √ R² + x² => 2 50 +120.6² 2 = 130.58 2 Jeans Vrs 2 V 12 Irms = 0.09189 Amp 130.58 (Vchome - Irms. Xe 0.091 69 x 120.6 = [ (Veams = 11.03 v D Xc = 2x we 2X1205x 22 x 106 ) = 60.3 2 Z= √50 50+ 60,3 - 76.33 2 Irmy = 12 78.33 = 0.15319 Amp (V. Jims = 0.15319 x 78'33 - (Ve)rms - 11,995 a 12v (Ve) my = 12 V