A-6. Write the equations for real, reactive, and apparent power in three-phase circuits, in terms of both line and phase quantities.
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Fundamentals of Energy Systems HW3 Q4
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- 60. An RLC series circuit connected to a 110-volt and 50-cycle AC source, contains the following series resistances and reactances: R1=10 ohm, R2= 15, XL1=20 ohms, XL2=25 ohms, XC= 40 ohms. Find the real power. a. 65.3899 b. 392.4372 c. 397.848 d. 588.6559Consider the circuit shown in Figure 1. V1 is a 7.2 kHz sine wave with an amplitude of 4 V.Figure 1: RC Circuit Schematic1. Determine the total impedance (Z) of the circuit.2. Using V1 as a zero-phase reference, calculate the values of the following:a) Amplitude and phase of current (I)b) Amplitude and phase of voltage across R1 (VR1)c) Amplitude and phase of voltage across C1 (VC1Impedances Z2 and Z3 in parallel are in series with impedance Z1 across a 100 V, 50 Hz ac supply. Z1 =6.25 + j1.25 ohm; Z2 = 5+ j0 ohm and Z3 = 5-jXc ohm. Determine the value of capacitance of Xc such that the total curent of the circuit will be in phase with the total voltage. When is then the circuit current and power.
- A single-phase source has a terminal voltage V=1200volts and a currentI=1530, which leaves the positive terminal of the source. Determine the real and reactive power and state whether the source is delivering or absorbing each.Task 3 A three phase, four wire star connected load consisting of: ZR: a resistor of 9500 in series with a 3H inductor ZB: a resistor of 1950 ZY: a resistor of 1950 in series with a 4µF capacitor Using the equipment available in the power lab (Room T017), connect the given load to a three-phase supply available in the lab and: 3.1. Determine the current of each line and the neutral current and measure the total power supplied by the source. 3.2. Analytically, calculate all currents and the total power and compare with those obtained in measurements. 3.3. Device a method and measure the waveform of the neutral current. Discuss the obtained waveform and the reason for any distortion in the waveform 3.4. Validate your calculations using computer simulationcan you doing this with detail explaination..thank you!
- The circuit shows an unbalanced electrical installation powered by a positive sequence symmetrical three-phase network of 380 V compound voltage. The loads are single phase. Load 1 absorbs an active power of 950 W with f.d.p. 0.5 inductive. Load 2 absorbs an active power of 1,140 W with f.d.p. Unit. Load 3 absorbs from the network an active power of 760 W with f.d.p. 0.5 capacitive. Taking the network voltage URN as the phase reference, calculate: a) complex expressions of the line currents IR. Is. and ITAn alternating voltage of 110 volts is applied to a circuit with resistance of 8.66 Ohms, inductance of 0.106 Henries, and capacitance of 75.8 microFarads. The frequency of the voltage is 50 Hz. Determine: a. The current in the circuit and its phase angle relative to the applied voltage. b. The voltage drop across each component of the circuit. c. The active and reactive power inputs to the circuit. d. Draw (Not hand-sketch) the equivalent power triangle. e. Is the RLC load of the circuit inductive or capacitive? Why?I need handwritten only otherwise i will dislike for sure and both parts otherwise skip I'll dislike