Determine the system apparent power
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Determine the system apparent power
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- You are an electrician working in an industrial plant. A 30-hp three-phase induction motor has a current draw of 36 amperes at full load. The motor is connected to a 480-volt line. A three-phase wattmeter indicates a true power of 22 kW. Determine the power factor of the motor and the amount of capacitance needed to correct the power factor to 95. Also determine the minimum voltage rating of the capacitors. The capacitors are to be connected in wye.A 3-phase, 60 Hz, 2200 V, induction motor develops 500 hp, 0.8 lagging pf and efficiency of 0.94. The power factor is raised to 0.90 lagging by connecting a bank of condensers in delta across the lines. If each of the capacitance unit is built up of four similar 550 V condensers, find the required capacitance of each condenser.A generating voltmeter is required to measure voltage between 15kV and 250kV. If the indicating meter reads a minimum current of 2uA and maximum of 35uA. Assume that the speed of driving synchronous motor is 1500rpm. Determine the capacitance of the generating voltmeter. A. 1,2 pF B. 6.5 pF C. 15,2pF D. 1 pF
- A 405V, 3-phase, delta-connected induction motor has an output of 13.5kW at a p.f. of 0.9and efficiency 82%. Calculate the readings on each of the two-watt meters connected to measure the input.A 440-V, 60-Hz,36.7 HP induction motor has power factor of 0.75 (lagging). Three Δ-connected capacitors are installed to improve the power factor to 0.95 (lagging). Calculate the kVA of the capacitor bank, and the capacitance of each capacitor (in microfarads)A 450nF capacitor, a 820 ohm resistor, and a function generator are all connected in parallel. The supply voltage is 60V RMS 1kHz. Calculate the power factor of the circuit.
- A 440-V, 60-Hz,36.7 HP induction motor has power factor of 0.75 (lagging). Three Δ-connected capacitors are installed to improve the power factor to 0.95 (lagging). Calculate the kVA ________________ of the capacitor bank, and the capacitance of each capacitor (in microfarads) __________________. (please answer with 3 decimal, and clear solution!)A relay coil is connected to a 230 V, 60Hz supply. If it has a resistance of 50Ω and an inductance of 0.4H, calculate the apparent power and the power factor.A 480-V rms, 60 Hz source supplies a load having a total impedance of 50 angle 60° ohms. Find the capacitance of a parallel capacitor that will correct the overall power factor to 0.9 lagging.
- A 120 V, 60 Hz, single-phase induction motors 1 and 2 are connected in parallel. Motor 1 takes a current of 4 A at 0.8 PF lagging and the total current taken from the supply is 10 A at 0.6 lagging. Calculate the current and the PF of motor 2.A coil having an inductance of 0.2H and a resistance of 10 ohm is connected across a 100V a.c. supply, calculate the phase difference between the supply voltage and the current when the frequency 470Hz; (Give your answer in degrees)A 96 kVA load operates at 0.79 lagging power factor when connected to a 230 V, 60Hz AC source. The power factor is to be improved to 0.93 lagging. The power factor is to be corrected by a capacitor bank. However, the capacitors are loosely connected and take 34 kW when connected to a 230V, 60Hz AC source. What is the kVAR rating of the capacitor bank?