1. An alternating voltage is given by V=230sin314t.Calculate i)frequency,ii)maximum value,iii)average value,iv)RMS valu
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The alternating voltage is represented as:
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- Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor, and a 4 capacitor. (a) Draw the circuit diagram. (b) Compute the series impedance. (C) Determine the current I delivered by the source. Is the current lagging or leading the source voltage? What is the power factor of this circuit?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.Calculate the rms value of a sinusoidal current of maximum value of 20 A
- (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.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 Calculate average and RMS value of the voltage waveform given in Figure. 4V %3D t(ms)- 4V
- 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?1. A Sinusoidal current has an rms value of 5mA. Determine the following values. 1) Peak 2) Average 3) Peak to PeakDesign a circuit limit a 25 V rms sinusoidal voltage to a maximum positive amplitude of 18 V of using 12 V dc source.
- iii) A sine waveform with following specifications. RMS voltage 161.4V Time for ten cycles 0.02s Sketch the waveform.4) Determine the value of voltage across resistor and capacitor5) Convert in rms valuesAn alternating current varying sinusoidally with a frequency of 50Hz has an RMS value of 20A. a. Write down the equation for the instantaneous value b. find the value of (i) at 0.0025 second