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Why take root mean square value?

Anonymous

∙ 14y ago

Updated: 10/27/2022

its the maxium value 0.707 RMS. Root mean square is conversion used to give you the DC equivalent Voltage, Current, and Power of an AC system. It converts AC ability to do work and represents it as a DC equivalent value.

Wiki User

∙ 14y ago

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Q: Why take root mean square value?

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Why is an AC voltmeter a second order instrument?

DC voltmeters take the average of a set of samples. AC voltmeters work out the RMS voltage (root-mean-square) of the signal which is defined as: VRMS = The square-root of the intergral over one period of v2(t)

Can you please explain what RMS value is?

RMS stands for Root Mean Square. It is a method of averaging where you take the squares of a bunch of samples, average them with an ordinary mean, and then take the square root. This gives greater weight to larger values. In the case of an ordinary sine wave, the RMS value is 0.707 times the peak value, 0.707 being 1/2 the square root of 2, and the peak value being one half the peak-to-peak value. For example, in the US, a "standard" 117VAC line voltage is actually an RMS voltage that corresponds to a peak voltage of 166VAC.RMS is a necessary unit because, often, the waveform is not sinusoidal, it is sawtooth, such as in a power supply. Using an ordinary VOM, calibrated for a sinusoidal AC scale in such a case, will give an inaccurate reading of ripple voltage. Most modern DMM's have a true-RMS mode which will work correctly by using sampling and analysis technology.RMS is also a necessary unit because RMS is a better indication of how much power a signal can impart to a load.Another answerRMS stands for Root Mean Square value.In electrical technology, where alternating current (AC) is used, RMS Voltage and RMS Current (Amps) must be used to calculate the average power supplied or consumed. See the link below on how to find the RMS.In fluid flow technology related to gases, velocity is calculated as an RMS value because it can be used to find the average velocity of an ideal gas.Yet Another AnswerBecause a AC current is continuously varying in both magnitude and direction, it's necessary to measure it in a meaningful way. The rms-value of an AC current is equivalent to the value of DC current necessary to do exactly the same amount of work. For example, a sinusoidal AC current which peaks at 100 A has an rms-value of 70.7 A, and does exactly the same amount of work as a DC current of 70.7 A.

Does RMS value exist in DC?

You have not provided enough information. For 12 volt peak to peak, purely AC signal, there will be no DC (hence purely AC). This means there is no offset - the AC signal peaks at 6 volts and -6 volts. The RMS value of this is VRMS = peak / sqrt(2) = 6 / 1.4.

What is the effect of transfer lag on difference proportional band?

To the best of my knowledge, it can be seen as the following: A first order system G(s)=K/(1+s(TL)) where TL is the transfer lag. Take the root of the denominator to be s = 1/TL, we can find out TL. Once you know TL you can discover the magnitude of its effect. It generally decreases response time! As TL increases the value of the root decreases. The closer this value to the imaginary axis in root locus theory, the more dominance it plays in the system! I may have talked around your answer but I hope I've helped

What are the qualifiers that an int can have at a time?

A signed int can take a value between -32768 to 32767 and an unsigned int can take a value 0 to 65535.

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Related Questions

What did rms stand for?

RMS is root mean square in physics. RMS is Railway Mail Sevice in postal net work rms ie root mean square is got first squaring the positive and negative values to make them all positive. Then mean is taken. After that we have to take square root of the mean square. So square Root of the Mean value of the Squares of the values. Hence the name

How do you solve integers and absolute value?

To solve equations with absolute values in them, square the absolute value and then take the square root. This works because the square of a negative number is positive, and the square root of that square is the abosolute value of the original number.

What is the geometric mean for 9 and 41?

Multiply the two numbers, then take the square root. For the geometric mean of 3 numbers, multiply all numbers, and take the cubic root, etc.Multiply the two numbers, then take the square root. For the geometric mean of 3 numbers, multiply all numbers, and take the cubic root, etc.Multiply the two numbers, then take the square root. For the geometric mean of 3 numbers, multiply all numbers, and take the cubic root, etc.Multiply the two numbers, then take the square root. For the geometric mean of 3 numbers, multiply all numbers, and take the cubic root, etc.

What is square root of x6?

To take the square root of any power, just reduce the exponent to one-half of each value.

What is the square root of 28th to the 10th power?

I take that to mean the square root of 28^10 and the answer is: 1.72104e+007

What is the length of one side of an square acre?

I suppose you mean, "a square that has a surface of one acre". An acre has 43,560 square feet; to get the length of a square of that area, take the square root of that. The result is about 208'9".I suppose you mean, "a square that has a surface of one acre". An acre has 43,560 square feet; to get the length of a square of that area, take the square root of that. The result is about 208'9".I suppose you mean, "a square that has a surface of one acre". An acre has 43,560 square feet; to get the length of a square of that area, take the square root of that. The result is about 208'9".I suppose you mean, "a square that has a surface of one acre". An acre has 43,560 square feet; to get the length of a square of that area, take the square root of that. The result is about 208'9".

How do you calculate the RMS of 440volts 220 volts 110 volts?

To calculate the RMS (Root Mean Square) of a set of values, you first square each value, calculate the mean of the squared values, and then take the square root of that mean. For the given values (440V, 220V, 110V), you would first square each value (440^2, 220^2, 110^2), then find the mean of these squared values [(440^2 + 220^2 + 110^2) / 3], and finally take the square root of that mean.

How do you calculate square root 2?

You can use logrithms.Take your log table.Look for the log value of 2.Now divide that value by 2(you should devide by 2 if you want square root,devide by 3 if you want cubic root).Now take the antilog value.It is equal to square root.

What does it mean if there are two square root symbols over a number?

Take the square root of the square root of the number (that is the fourth root of the number), for example: √√16 = √(√16) = √4 = 2 24 = 16 ⇒ 2 is the fourth root of 16.

What is the equation for standard deviation?

Standard deviation is equal to the square root of the variance. To arrive at this work out the mean, then subtract the mean and square the result of each number. Then work out the mean of those squared differences and take the square root of that.

What is RMS in electricity?

RMS stands for Root Mean Square. Power is calculated as V2/R where V is the voltage and R is the resistive component of a load, This is easy toi calculate for a DC voltage, but how to calculate it for a sinusoidal voltage? The answer is to take all the instantaneous voltages in the sine wave, square them, take the mean of the squares, then take the square root of the result. This is defined as the "heating effect voltage". For a sine wave, this is 0.707 of the peak voltage.

How do you find the length of a square?

If you mean the length around a square (perimeter), you can take the square root of the area, and multiply it by 4. If you want the length of one side of a square, it is just the square root of the area.

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