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Question:

When a small AC motor is operating at rated load from a 115V, 60-cycle source, it takes 287 watts at a lagging?

When a small AC motor is operating at rated load from a 115V, 60-cycle source, it takes 287 watts at a lagging power factor of 0.6. a. Calculate the line current. b. What should be the capacitance of the capacitor connected in parallel with the motor that will make the power factor unity?. c. Determine the line current under this condition?

Answer:

Power, p = 287 watts, power factor 0.6(lagging 53.1°) volts, v = 115 volts, 1.) line current, IL = 287/115 = 2.5 Amps 53.1° lagging >==================< ANSWER 2.) Impedance, |z| = (115)^2/287 = 46.1 ohms, OR, z = 46.1(cos53.1° - j.sin53.1°), SO, Reactance, XL = -46.1*sin(53.1) = 36.86 ohms, For unity power factor, Capacitor C ?F is connected, SO, 1/2pi f C = 36.86, ===> C = 1/2pi*60*36.86 = 0.72 ?F >===============< ANSWER
This will not be the first-rate reply. I feel you may have two questions right here. You could have a 3/four hp motor a good way to draw 13Amp on a hundred and fifteen volts at 60 Hearts or Cycles and that can be also wired by using changing the way in which it is attached to attract 6.5 Amps at 230 volts on 60 Cycles. Different query is set wire measurement involving voltage drop over 500 feet of distance. Determine out Ohm's law although it should no longer be used for basic a.C. Motor and transformer circuits or a circuit containing any e.M.F or voltage as opposed to the impressed voltage. (re all ref. - functional main of electricity.) One mile of copper wire a quarter of and inch diameter presents about 1 ohm resistance. . You must also query what number of wires you ought to run to your cable; whether it is one white one black and one inexperienced safeguard ground or the entire former and a pink besides . Be conscious that the smaller the quantity of the wire, the bigger the size of the wire; that a number six wire is far thicker than a quantity sixteen and that the previous offers less resistance. Getting an electrician to put all of those details collectively and hook up your water pump will keep you in good stead along with your insurance organization even supposing you understand how to do the job yourself as well as keep you from burning out your motor.

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