$100 per kW-h, a thousand times more than what it costs for AC power from the wall socket, is a typical value. Otherwise, because the starting power of the pump can reach 5000W-7000W, it will cause insufficient power and can not start. It has units of Watts. Although power is cheap, it is not limitless. If you look at the voltage at its peak, it hits about +170 V, decreases through 0 to -170 V, and then rises back through 0 to +170 V again. So the average value of a sine wave is defined over a half-cycle, and not a full cycle period.The average value of the sine wave is the total area under the half-cycle curve divided by the distance of the curve.The average value of a sine wave is shown by the dotted line in Fig. This is because the voltage (emf) is following a sine wave oscillation. Here the peak to peak value is 8 V.In general, the average value of any function υ(t), with period T is given byThat means that the average value of a curve in the X- Y plane is the total area under the complete curve divided by the distance of the curve. Batteries and power supplies supply power to a circuit, and this power is used up by motors as well as by anything that has resistance.

Two values are commonly used – Root Mean Square (RMS) value and peak value. That means that the average value of a curve in the X- Y plane is the total area under the complete curve divided by the distance of the curve.

COPYRIGHT © 2014 TO 2020 EEEGUIDE.COM ALL RIGHTS RESERVED The values of the rated output voltage and current of an AC power source are specified in RMS values. The graph above shows voltage as a function of time, but it could just as well show current as a function of time: the current also oscillates at the same frequency. Electricity use continues to increase, so it is important to use energy more efficiently to offset consumption. The average is 2, but the rms average is 3.
The current that comes from a wall socket, on the other hand, is alternating current. Try this at home - figure out the monthly cost of using a particular appliance you use every day. The average value of a sine-shaped voltage or current is 0. 4.12 during the positive cycle, the instantaneous values are positive and during the negative cycle, the instantaneous values are negative. Using only half a cycle, as illustrated in fig 1.2.3 the average value (voltage or current) is always 0.637 of the peak value of the wave. In North America, the rms voltage is about 120 volts. Substituting values we get rms = 150/2.828 rms = 53 V So. This average value we use for the voltage from a wall socket is known as the root mean square, or rms, average. In North America, the rms voltage is about 120 volts. share | improve this question | follow | edited Oct 23 '13 at 23:36.

The electric company bills not for power but for energy, using units of kilowatt-hours. The power dissipated in a resistor goes into heating the resistor; this is know as Joule heating. How do I calculate the peak-to-peak voltage of a sine wave given RMS voltage? Average value sine wave. If your pump is 1000W, the minimum recommended inverter is 2000W and 3000W. The power supplied to a circuit by a battery is calculated using P = VI. This is the same as multiplying by 0.707, so the relationship between rms values and peak values for voltage and current is: To find the rms average, you square everything to get 1, 1, 9, and 25. 4.14. Doing this for a sine wave gets you an rms average that is the peak value of the sine wave divided by the square root of two. Power is the rate at which work is done.

1 W = 1 J/s This is not the real value of the average values of a sine, but the average of the absolute values of a sine.
Now you average those values, obtaining 36 / 4 = 9. 4.17(b). So RMS power is an inaccurate term, that has no logical justification. For a wall socket in North America, the voltage changes from positive to negative and back again 60 times each second. 4.15.The root mean square (rms) value of a sine wave is a measure of the heating effect of the wave. In general, the rms value of any function with period T has an effective value given byIf the function consists of a number of sinusoidal terms, that isThe peak factor of any waveform is defined as the ratio of the peak value of the wave to the rms value of the wave.From factor of a waveform is defined as the ratio of rms value to the average value of  the wave.From factor of a sinusoidal waveform can be found from the above relation. As the magnitude of the waveform is not constant, the Measuring the Sine Wave can be in different ways. 5,648 2 2 gold badges 24 24 silver badges 56 56 bronze badges.

Anything you plug into a wall socket runs at 120 V, so if you know that and the current you can figure out how much power it uses. The value of a DC volltage that will produce the same average power as a 150 V peak to peak of a sine wave is its rms value. Appliances that use energy most efficiently sometimes cost more but in the long run, when the energy savings are accounted for, they can end up being the cheaper alternative. But, often in literature, the value v pk *π/2 (≈0,637*v pk) is used. However, if the starting power of pumps is relatively large, the power frequency inverters with more than twice the power are usually purchased. Finally, take the square root to get 3. If the circuit has capacitors, which store charge, the current may not be constant, but it will still flow in one direction. Because the voltage varies sinusoidally, with as much positive as negative, doing a straight average would get you zero for the average voltage. At any given time, it has some instantaneous value. An example...if a 100 W light bulb is on for two hours each day, and energy costs $0.10 per kW-h, how much does it cost to run the bulb for a month? (You might think this value of 170 V should really be 110 - 120 volts. With alternating current, the current continually changes direction.