Question

Figure 2 6.00 volts 10.0 volts wt 4) Figure 2 illustrates the component voltage phasors corresponding to one embodiment of the series AC RLC circuit of Figure 1. The magnitude of each phasor is shown in Figure 2. All of the phasors rotate CCW with the angular velocity of the source. The other given values are R-30.0 ohms and L-0.020 H. Compute numerical values for the following quantities: a) The expected RMS voltage reading of each of the voltmeters V1, V2, and V; b) The expected RMS voltage reading of a voltmeter connected in parallel with the source; c) The expected RMS current reading of an ammeter connected in series with the source; d) The phase angle between the voltage across the source relative to the current flowing from the source; e) The angular frequency of the source; and 1) The capacitance of C. 2.00 volts 5) An RLC series circuit (resistance - R, inductance - L, and capacitance - C) is connected to an AC source of potential (amplitude - Eo, angular frequency=0). The current flowing through the circuit has amplitude lo. Determine expressions R, L, C, Eo) for: a) the resonant angular frequency, 0, of the circuit; b) In when a = c; and c) the 2 angular frequencies (C0L000, CO ) that result in an amplitude of current equal to half that of part (b). Am-CR- OL is also known as the full-width at half maximum (FWHM) of the resonance peak. The relative FWHM is equal to the FWHM divided by wo. d) Show that the relative FWHM is given by:

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Answer 1

finen R=302, L=0.0204 [=? - VR = Groet, ve=20volt, V = 10valt V - [ (Vu-vo* - 6 1 19 - TVm= loval ☺ Vilemowo - Jouluvalt (V2) sms = b = 4.24 volt (\3 )ams = = 7-07 volt © Vims = Home = 7.07 vult 0 Im= VR = 1 = 0.2A Irms - Im = 0 7 2 20-14IA tond = Verv = 2-10 16 =.-93.13 XL = gifl {W=27f3 Y = Im XL - 10 = 30.2) Kefl 0-020) TW = 2500 rady) ve = ImXL = Im Te=0.44f