Find the RMS value of the waveform depicted below. Given A = 5, a = 2, b = 7, and T = 10 Hint: You will probably want to express the waveform as a piecewise function. A 0 t=a t=b a+b T 2T t
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- (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.The single phase AC sinusoidal voltage then the rms value of the voltage v is .........For the below sinusoidal voltage trace displayed by the CRO, the time/cm switch is on 0.2ms/cm and the volt/cm switch is on 1 V/cm. a) the frequency will be Hz b) the r.m.s value will be In CRO the beam can also be shifted vertically by applving a suitable DC voltage to the
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- 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]A complex voltage waveform which has an rms value of 240V contains 30% third harmonic and 10% fifth harmonic, both of the harmonics being initially in phase with each other. (a) Determine the rms value of the fundamental and each harmonic. (b)Write down an expression to represent the complex voltage waveform if the frequency of the fundamental is 31.83 Hz.Instruction: Provide the correct answer. 1. What is the relationship between the supply voltage and circuit current in purely capacitive circuits? 2. Vm = 100cos(377t + 75°) transform into sine form is a complex number that represents the amplitude and phase of a sinusoid. 3. 4. What is the phase relationship between a supply voltage and current through a purely inductive circuit? . 5. The rms value of the signal is also called the
- Determine the rms value for each of the waveforms below.Shown in the figure below is an "RC" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 11.58 Volts and is running at a frequency of f = 1.326e+04 Hz. resistor has a resistance of R = 3750 2 and the capacitor has an capacitance of C = 3.17e-09 Farads. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Write the FORMULA for the phase of the total impedance of the circuit tot = Determine the numerical value of Ztot = Determine the numerical value of Pztot= Determine the current through the circuit: • I(PEAK) = • I(RMS) = Determine the voltage across the resistor: Amps Amps S2 C degreesWhat 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!