5- Find the half-cycle average values of the voltage across R1 and R2. All values shown are rms.
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- 2. Refer to the Figure 2. a) Determine the total impedance of the circuit in polar form. b) Determine the voltage v(t) and current i(t) sinusoidal forms. Sketch one cycle of the waveforms in the same x-axis. Clearly indicating the peak value and the period of each waveform and the phase difference (in milliseconds) between the two waveforms. c) Determine the values of resistance R and inductance L. d) Determine the phasors V,, VR and Vc. e) Sketch the phasor diagram showing Vs, Vr, Vr, Vc and I.A. The value of: A=5 ms C= 15 ms Peak to peak = 10 B D Figure 1 (a) From Figure 1 above, identify the frequency (f), value of time at A, B, C, D, period (T) and the RMS.Draw the waveform of voltage and current under the following conditions: A current which lags the voltage by 60°. A current which leads the voltage by 60°. A current which is in phase with the voltage
- 4) Determine the value of voltage across resistor and capacitor5) Convert in rms valuesShown in the figure below is an "RL" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 9.84 Volts and is running at a frequency of f = 8.585e+04 Hz. The resistor has a resistance of R = 2170 and the inductor has an inductance of L = 3.54e-03 Henries. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Determine the numerical value of Ztot = 2890.5 Determine the numerical value of $z= = 41 Determine the current through the circuit: • I(PEAK) = 4.81E-3 • I(RMS) = 3.404E-3 Determine the voltage across the resistor: • VR(PEAK) = 7.387 • VR(RMS) = 5.22 ✔✔ Amps ✔Amps Write the FORMULA for the phase of the total impedance of the circuit z... = | tan-1 2701 R x Volts X Volts Determine the voltage across the inductor: • VL(PEAK) = 9.184 • VL(RMS) = 6.49 ✔ Volts Volts L R²+ WL- ✔ degrees 2 If a second circuit were connected in parallel with the inductor, this circuit would be considered as: O a low-pass filter O a capacitive switcher…(b) An engineer is required to analyse a sinusoidal waveform for the voltage and current using oscilloscope. The voltage waveform produced Root Mean Square (RMS) value at 75 V with positive-going zero crossing at 30°. While the RMS value of current is 66.71 A with negative-going zero crossing at 0.349 rad. Assume the frequeney of both waveforms is 50 Hz. (i) Sketch the voltage and current waveform in the same axis by showing the important point. (ii) Determine instantaneous voltage when t = 8ms . (iii) Determine phase relationship between voltage and current waveform.
- b) Determine the voltage ?(?) and current ?(?) sinusoidal forms. Sketch one cycle of the waveforms in the same x-axis. Clearly indicating the peak value and the period of each waveform and the phase difference (in milliseconds) between the two waveforms. c) Determine the values of resistance R and inductance L. d) Determine the phasors ?L, ?r and ?c. e) Sketch the phasor diagram showing ?s, ?r, ?r, ?c and ?.A generator rated at 30MVA, 11kV has a reactance of 40%. Calculate its p.u. reactances for a base of 50MVA and 10kV. O 0.606 p.u. O 0.506 p.u. O 0.806 p.u. O 0.706 p.u.Quistion.4. a) A sinusoidal voltage is applied to the resistive circuit in figure.Q.4. a. Determine the following: i. Ims ii. Iavg iii. Ip iv. Ipp 10V 1.0 ΚΩ Figure.Q.4.a
- 8. Liquids with solid impurities a) Have higher dielectric strength b) Of large size have higher dielectric strength c) Have lower dielectric strength as compared to pure liquids d) None of the above 9. Peak to peak ripple is defined as a) the difference between average de voltage and peak value b) the difference between maximum and minimum de voltage c) the difference between maximum ac and average de voltages d) the difference between ac (rms) and average de voltages 10. In a Cockroft-Walton circuit, input voltage 100 kV load current 25 mA, supply frequency 100 Hz, each capacitor 10 nF. The optimum no. of stages for maximum output voltage is a) 1 b) 2 c) 10 d) 35A utility company plans to connect a total of 20uF of capacitance to a 7200 volt line. To make this connection four capacitors will be connected in series. What is the capacitance of each capacitor? Answer is 80uF. Now what is the minimum AC voltage rating of each capacitor?An alternating current varying sinusoidally with a frequency of 50 Hz has anrms value of 20 A.a) Determine the instantaneous value at 0.0025 seconds.b) Determine the instantaneous value, 0.0125 seconds after passingthrough a positive maximum value.c) At what time, measured from a positive maximum value, will theinstantaneous current be 14.14 A?