Find the error between the "true" RMS value of v(t) and the RMS value obtained by using Parseval's theorem with the limiting value of N as 6. v(t) 1 0123 4 t
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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.Given the following find: The reactive power dissipated by the source is (in Vars) The apparent power dissipated by the source is (in VA)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.
- A sinusoidal 50 Hz voltage of 200 V (rms) supplies the following three circuits which are in parallel: (a) a coil of inductance 0.03 H and resistance of 3 ohms, (b) a capacitor of 400 microFarad in series witha resistance of 100 ohms and (c) a coil of inductance 0.02 H and resistance 7 ohms in series with a 300 microFarad capacitor. Find the total current supplied?What impedance vector (0- j15) Ohms represents:A. A pure resistance. C. A pure capacitance.B. A pure inductance. D. An inductance combined with a capacitance.Q5. For an exhibition project you are designing a circuit of signal processor which can be connected to 230V, 50 Hz supply have a 5.0 H inductor, 80 μ F capacitor and 40Ω resistor kept in series. How can you evaluate the rms current and average power delivered to the circuit? Based on your observation, evaluate the potential drop across capacitance and inductor. Comment about that r m s voltage found in this circuit is less than peak voltage? Justify it with your answer. If you remove the inductor and connect a bulb in series with a capacitor. What will happen to the brightness of bulb if it is connected to DC source and then to an AC source. Assess and find reason for your observations in each case.
- 5: An inductor is one of important device in electrical circuits. To study response of it in pure form,inductor 240 mH is connected to AC source of maximum voltage 280 V, with a frequency of 120 Hz.Predict the rms current passing through the circuit. Can you predict the change in rms current if thefrequency is increased to 5 kHz? Are there any similar properties for a transformer compared withinductor? Is it possible to operate inductor with DC source? Justify your answer.Find the rms value of the half-wave rectified sinusoidal voltageAn inductor, a capacitor, and a resistor are connected in parallel with a function generator. The inductor draws 100mA RMS, the capacitor draws 150mA RMS, and the resistor draws 200mA RMS. Find the magnitude of the total current.
- A certain impedance is given by 1012° N. Does the current lead or lag the voltage, and by how many degrees? Fill in the blanks. The current the voltage byA sinusoidal 50 Hz voltage of 200 V (rms) supplies the following three circuits which are inparallel: (a) a coil of inductance 0.03 H and resistance of 3 ohms, (b) a capacitor of 400 microFaradin series with a resistance of 100 ohms and (c) a coil of inductance 0.02 H and resistance 7 ohms inseries with a 300 microFarad capacitor. Find the total current supplied?Given a capacitive load absorbing 5 kW with a power factor of 0.85. The source connected to this load is an AC voltage supply with 120V RMS at a frequency of 50 Hz. Please find; A) Peak current (m) and RMS Current (ms) Values B) Draw peak voltage and current phasors on phasor diagram with everything labelled C) Find the value of an inductor that when connected in parallel will improve the power factor to 0.95.