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- Between the terminals a and b in the figure, there is a load formed by connecting the resistor R0 and inductance L0 in series. The amplitude of the voltage Vs (t) is √2 150 volt phase angle Qs = 0 degree period T = 200π microseconds. Since R = 300ohm and C = 1 microfarad A) If the load phase angle QL = 30 degrees, find the values of R0 and L0 that enable the load to draw the maximum average power from the circuit. =? B) Calculate the average power on the load. =?An industrial installation has a power factor of 0.85 in backward. The demand is 150 KVA, and the operating voltage is 4800 V at 60 Hz. What should be done to bring the power factor to 0.95 in lagging? Indicate what you would connect and with what three-phase power. If the connection of the element to be added is in delta, indicate its reactance and the value of its capacitance or inductance. capacitance or inductance.In the circuit in the figure, there is a load consisting of the series connection of the resistor R0 and the inductance L0 between the terminals a and b. The amplitude of the voltage Vs (t)√2 is 150 volts, the phase angle is 0s = 0 degrees, the period is T = 200π microseconds. Since R = 300ohm and C = 1μF;a) Find the R0 and L0 values that enable the load to draw the maximum average power from the circuit.b) Calculate the complex power on the load.
- 1. A motor load consists of a resistance of 6 Ohms in series with an inductance of 12 mH. Assume 120Vac, 60 Hz supply. a. What is the complex impedance of the load? b. What is the ac current through this load? c. What is theta, the angle between voltage and current through this load? d. What is the power factor? e. What capacitance should be added in parallel with this load to correct the power factor to 1? f. What is the current from the supply when the power factor is corrected?In the circuit in the figure, there is a load consisting of the series connection of the resistor R0 and the inductance L0 between the terminals a and b. The amplitude of the VS (t) voltage is √2 150 volts, phase angle = 0 degrees, period T = 200π microseconds.Since R = 300 ohms and C = 1 microfarad a)Find the values of R0 and L0 that enable the load to draw maximum average power from the circuit when the load phase angle is constant at 45 degrees? b)Calculate the average power on the load?1. Write down a formula for the three-phase power factor, assuming perfectly sinusoidal and symmetrical conditions, using line-line voltage measurements. 2. Write down a formula that relates three-phase apparent power to active and reactive power. 3. Draw a graph that depict single-phase waveforms for a purely sinusoidal 50 Hz voltage and a lagging current.
- A residential four-wire system supplies power at220 V rms to the following single-phase appliances:On the first phase, there are ten 75-W bulbs. On thesecond phase, there is a 750-W vacuum cleaner with apower factor of 0.87. On the third phase, there are ten40-W fluorescent lamps with power factor of 0.64.Finda. The current in the netural wire.b. The real, reactive, and apparent power for eachphase.In the circuit in the figure, there is a load consisting of the series connection of the resistor R0 and the inductance L0 between the terminals a and b. The amplitude of the voltage Vs (t)√2 is 150 volts, the phase angle is θs = 0 degrees, the period is T = 200π microseconds. Since R = 300ohm and C = 1μF;a) Find the R0 and L0 values that enable the load to draw the maximum average power from the circuit.b) Calculate the complex power on the load.A residential four-wire system supplies power at 220 V rms to the following single-phase appliances: On the first phase, there are ten 60-W bulbs. On the second phase, there is a 1-kW vacuum cleaner with a power factor of 0.9. On the third phase, there are ten 23-W compact fluorescent lamps with power factor of 0.61. Find a. The current in the neutral wire. b. The real, reactive, and apparent power for each phase.
- In the circuit shown in the figure, there is a load between the terminals a and b, consisting of the series connection of the resistor R0 and the inductance L0. The amplitude of the voltage Vs (t) is two root hundred and fifty phase angle Qs = zero degree period T = 200 PI microseconds. Since R = 300 ohms C = 1 nano F. a) Find the values of R0 and L0 that enable the load to draw maximum average power from the circuit b) Calculate the complex power on the load.Determine the rms values of each of the following (a) v(t) = 100 sin(ωt) V Vrms = 70.7V (b) i(t) = 8 sin(377t) A Irms = 5.656V(c) v(t) = 40 sin(ωt + 40o) V Vrms = 28.28V (d) i(t) = 120 cos(ωt) mA Irms = 84.84A Can you double check if my answer is correct?Visible power of Z1 = |S1| = 16 kVA and at 0.8 back power factor; Visible power of Z2 = |S2| = 25 kVA and operates at unit power factor; Loads ZW = 5 + j26ohm/conductor is connected to the source by transmission line; VL = 3.8 kV Find the visible power of source,power factor and rms of source