The rms value of the voltage in a 60 cycle circuit is 115 volts. write the equation for the sinusoidal wave
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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?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…(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.
- 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!What are the Sinusoidal Oscillations? Explain its two important types with examples and diagramsb) 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 ?.
- An 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 secondHow do I find the phase of this sinc function?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 degrees
- A sinusoidal voltage has a value of 100 volts at 2.5 milliseconds and completes one cycle.It takes 20 milliseconds. Then find the maximum cost and the time to reach it for the first timeThe single phase AC sinusoidal voltage then the rms value of the voltage v is .........Design a circuit to limit a 20 V rms sinusoidal voltage to a maximum positive amplitude of 10 V and a maximum negative amplitude of using a single 14 V dc voltage source.