The average value of a sinusoidal current is 100 A. Its r.m.s. value is ............ (1) 63-7 A (iii) 141.4 A (ii) 70.7 A (iv) 111 A
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- An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8 lagging from a 220-V,60-Hz, single-phase source. By placing a bank of capacitors in parallel with the load, the resultant power factor is to be raised to 0.95 lagging. Find the net capacitance of the capacitor bank in F that is required.(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.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.
- 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 voltage1. A 70-Vac source has the following waveform. Determine: a. Vpk b. Vpk-pk Vrms h. equation of the waveform (in time domain) i. the instantaneous voltage when t = 120 ms j. the angle (1st occurrence) aftert = 0 when the C. voltage is +80 V k. the time (2nd occurrence) after t = 0 when the voltage is -10 V d. Period e. Frequency f. Angular Velocity g. Phase Angle 180 V -50 msThe single phase AC sinusoidal voltage then the rms value of the voltage v is .........
- Shown 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…7 Find the average and effective values of voltage for sinusoidal waveform shown in Figure. Vm = 100 V 2x x14 9714 [Ans: 27.17 V, 47. 67 V]An alternating current varying sinusoidally with a freq. of 50 c/s. has a r.m.s. value of 35 A. Write down the equation for the instantaneous value and find this value at (i) 0.0035 sec. (ii) 0.0135 sec. after passing through a positive max. value.
- (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 frequency 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. (c) From the measurement process, the circuit generated two different outputs, V,(t) and V,(t) with the same peak voltage. The V,(t) lagging V,(t) by 100°. If V,(t) =150sin(1000t – 40°)V , determine the RMS value and phase angle of.What is the average of A. a sine function over one cycle? Justify this mathematically. B. the square of a sine function over one cycle? Justify this!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 ?.