Rms Definition and 208 Threads

What's the difference between the two? RMS is divided by square root of 2?

Today I was thinking about the root mean square, and I figured out a definite relationship with the Pythagorean theorem. Specifically, the root mean square of the legs of a right triangle is equal to the "average leg," i.e. the leg of a square with the hypotenuse as it's diagonal. It appears to...

Dear Reader, Earlier I posted a topic on the uncertainty of a function that is F = os - ss , where os and ss are opposite-sign and same-sign, and are both binomial distributions. I want to know the uncertainty of my F, I have found a equation for the mean, and rms of my function which are...

obviously the root-means-square speed value is greater than the average value. Question is to why the root-mean-square speed is taken as a kind of average speed for gases but formula used in statistic in getting average number ? As when the number is squared, the final average value is...

Homework Statement Heat is added until the rms speed of a helium atom has increased 50%. Find new pressure. (Not all parameters given.) Homework Equations rms = (3kT/m)1/2 mass of molecule = mass of mole/NA Then, mass of helium molecule is 6.6x10-26kg The Attempt at a Solution...

Homework Statement Compute the rms speed of a nitrogen molecule of 35.0 celcius. Homework Equations V(rms) = sqrt((3RT)/M) The Attempt at a Solution I plugged in 8.31 for R and 308 K for T and 14.0 g/mol for M. I arrived at a solution of 23.4 m/s but this answer came back as...

Homework Statement I need to find the average and RMS voltages for the waves (See attached pictures) but I'm not sure exactly how to do it as I don't know how to get an equation for V(t) Homework Equations I Know: VRMS = \sqrt{\frac{1}{T}\int V(t)^2 dt} between 0 and T And for...

Homework Statement The inductance is 0 in the RLC Circuit. the rms voltage across the genreator and the resistor are 45, and 24V. Wats the voltage across the capacitor? Homework Equations Vrms= Vmax/ Sq rt 2 V c = IX c , The Attempt at a Solution V= I/R I= V/R 24/45= 8/15A...

What is the rms speed of helium atom at 2000?

Right, this may be really simple but I am seriously struggling with it! I have an array of data which shows a map of Sweden (the sea is masked out so all the values over the sea are set to 0). I need to calculate the root mean square of only the values not equal to 0 in my array, but I...

Homework Statement peak power consumed by microwave is 1180 W when operated at 120 Vrms. What rms current does that microwave draw? Homework Equations I'm not getting the correct answer, I think I am getting I and V confused with Irms and Vrms and Imax. The Attempt at a Solution...

I'm having a problem with that integration part. The average value of i^2 in one cycle = (sum of all i^2 in that period)/(that period). To derive (sum of all i^2 in that period) we use integration, but that gives the area, how can the area be a substitution for this?...they are different...

"the average load current,I(dc)" and "the rms load current,I(rms)"? What is the different between "the average load current,I(dc)" and "the rms load current,I(rms)"? I am very confuse with rms and dc >.< same with V(dc) ,V(rms),P(rms), P(dc) ... Help TT

I NEED TO GET A DERIVATION SO THAT I CAN MATHEMATICALLY UNDERSTAND WHY: The peak voltage or current is divided by square root 2 to get the root mean square value.please i need a simple derivation just to understand,i will be very greatful for ur consideration.thankyou.

Homework Statement comment on nature and meaning of results in terms of analysis of dynamic signals. (why do i see these results and what should we do to increase the accuracy of these two values)Homework Equations y=30+(2cos(6*pi*t)) both mean value and rms value come out to be very close...

Homework Statement I am confused. My thinking was if a voltage source is given in polar form with the magnitude and angle eg. (10 L0o)then it is Vpk and if only magnitude is given then it is Vrms. Is it right. I am really confused. Homework Equations The Attempt at a Solution I...

Given that the root mean square (RMS) of a sine function is as follows: RMS of (a*sin(\omega*r) = a / \sqrt{}2 Let a = 1/\omega Thus RMS of ((1/\omega)*sin(\omega*r)) = 1 / (\omega*\sqrt{}2) But for sinc(\omega*x), what is formula for the RMS?

Homework Statement I am comparing a normal DNA decamer molecule with one in which the two strands are only connected by the two base pairs on one of the ends. It was determined that the potential energies of both DNA molecules are negative, with values for the normal DNA much more negative...

Hello people, In an AC circuit, how is RMS current and Mean current defined as? What is the practical meaning of RMS current? Thanks in advance.

i am having a bit of trouble with this question, and its not explained very clearly in our textbook... "what are the RMS speeds of helium an dargon in a gas at 1000 degrees C" any help would be greatly appreciated. physics is definitely not one of my strengths... =D cheers. KC

Hi, I have a thermodynamics problem which I tried to solve but have no idea whether my attempt has been succesful. Here is the problem: Initially the translational root mean squared speed of an atom of a monatomic ideal gas is 250 m/s. The pressure and volume of the gas are each doubled...

Hi! I have the following question: A capacitor is connected to a transformer(sine wave) with 5v of output voltage(RMS). What final voltage is applied to the capacitor plates? And should I consider the current applied to the capacitor equal to RMS value or double RMS value? Thanks.

Homework Statement If the air pressure is 72 cm-Hg (as measured with a barometer), the velocity of sound is 344.7013 m/s and the temperature is 22.6 C calculate the Vrms. Homework Equations velocity = Vrms*sqrt[(1.40*n*Na*m)/(3*density*Vol)] The Attempt at a Solution I am under...

In very simple terms, (1) How is RMS Velocity determined?

[SOLVED] calculate RMS current!? Homework Statement The maximum potential difference across certain heavy-duty appliances is 240 V. Assume that the total resistance of an appliance is 190 ohms. (a) Calculate the rms potential difference. 169.68V <--CORRECT but for (b) calculate the...

RMS Current...HeLp! Homework Statement The primary coil of a transformer is connected to a 130 V/60 Hz wall outlet. The secondary coil is connected to a lamp that dissipates 64 W. What is the rms current in the primary coil? Homework Equations The Attempt at a Solution I = P/V...

Homework Statement Determine the RMS value of fullwave rectified sine wave.Homework Equations RMS = \sqrt{({1}/{b-a})\int^{b}_{a}[(fx)]^{2}dx} The Attempt at a Solution Notes: The Period of a full wave rectified sine wave is pi. a=0 b=pi Let's do square root at the end. =1/pi...

Homework Statement The atmosphere is composed primarily of nitrogen N2 (78%), and oxygen O2 (21%). Find the rms speed of N2 and O2 at 293K Homework Equations Vrms=\sqrt{}((3RT)/M) The Attempt at a Solution Vrms, O2=\sqrt{}((3*8.31J*293K)/(32g/mol)) =15.11m/s When I looked at the...

Homework Statement Hi, so I am just starting an rms voltage question but I'm a small bit confused. The problem states: A transformer having 90 turns on the primary and 2250 turns on the secondary is connected to a 120V, 60Hz source. Calculate a) the rms voltage and b) the peak voltage at the...

Homework Statement The rms speed of a sample of gas is increased by 8 percent. (a) By how much does the gas's temperature change? (given in %) (b) By how much does the gas's temperature change, assuming its volume is held constant? (%) Homework Equations rms = \sqrt{3KT/M} The...

[b]1. Homework Statement [/ What is the greatest RMS voltage generated in a circuluar loop antenna which is 30.0 cm in radius (also located 14.0 km away) Homework Equations V=wA The Attempt at a Solution So the frequency is 170MHz. My question is how to deal with the root mean...

Homework Statement What is the RMS speed of Helium atoms when the temperature of the Helium gas is 247 K? (Possibly useful constants: the atomic mass of Helium is 4.00 AMU, the Atomic Mass Unit is: 1 AMU = 1.66×10-27 kg, Boltzmann's constant is: kB = 1.38×10-23 J/K.) What would be the RMS...

Hi and thanks for checking this out! :) Homework Statement The temperature and pressure in a star's atmosphere are 1.20E6 K and 0.0400 Pa. Calculate the rms speed of free electrons (mass = 9.11 10-31 kg) there. Homework Equations What am I doing wrong and why do they give the...

I have a question about RMS voltage. I know Vrms is Vpeak/sqrt(2) if the sine wave is centered around 0V, but what if the voltage has a DC offset? Shouldn't this mean the RMS voltage is more?

Homework Statement If the instantaneous current is given by I(t)=3+4sinwt, what is the value of rms current? The Attempt at a Solution I thought rms value was max val/1.414. The answer I got was \frac{7}{\sqrt{2}}. The answer given is \sqrt{17}. Why?

Homework Statement Determine the RMS value over a period 2π/w (I can only assume this means between 0 and 2π/w) of the equation: i = M.sin(wt + A) + N.sin(2wt + B) Homework Equations RMS is, I believe, the square root of 1 / b -a times the integral between b and a of the integrand...

Hiya, Im having trouble answering this question. If the density of nitrogen at STP (1.01 X 10^5 Pa and 0 degrees celsius) is 1.25kgm^-3, calculate the RMS speed of nitrogen at 227 degrees celsius. Could someone please point me in the right direction? Thank you. __________________

Homework Statement Determine the rms value of the voltage that is measured as a function of frequency at f = 3.22MHz. e(t) = 50sqrt(2)cos(wt). A 100MHz oscilliscope is being used to measure the voltage across nodes AA' as seen in the figure. The input impedence of the oscilliscope is a 1Mohm...

Homework Statement The voltage across a resistor is given by: v(t) = 5 + 3 \cos{(t + 10^o)} + \cos{(2 t + 30^o)} V Find the RMS value of the voltage Homework Equations For a periodic function, f(t), the rms value is given by: f_{rms} (t) = \sqrt{\frac{1}{T} \int_{0}^{T} f(t)^2 dt} Where T...

Homework Statement A wire of length \ell, radius r_1, and resistivity \rho is tightly wound in a single layer into the shape of a solenoid with circular cross section of radius r_2. Assume it is an ideal solenoid. A DC voltage V is placed across the ends of the solenoid. a. What is the...

The question is "starting from v(t) = Vm cos(wt+theta), show analytically that the RMS value of v(t) is v(t)=Vm/sqrt(2) for any w or theta." I'm not really sure how to begin this. Do I start by taking the integral?

Homework Statement An ideal gas is kept in a container of constant volume. The pressure of the gas is also kept constant. If the initial rms speed is 1800 m/s, what is the final rms speed? Homework Equations v(rms)=square root of [v(avg)]^2=square root of (3kT)/m The Attempt at a...

What the RMS voltage is of a triangle wave? I am supposed to derive it. I am coming up with \frac{2}{T}\sqrt{V_{m}

Four circuit elements—a capacitor, an inductor, a resistor, and an AC source—are connected together in various ways. First the capacitor is connected to the source, and the rms current is found to be 25.1 mA. The capacitor is disconnected and discharged, and then connected in series with the...

molecular motion is invisible in itself. when a small particle is suspended in a fluid, bombardment by molecules makes the particle jitter about at random.Robert Brown discovered this motion in 1827 while studying plant fertilization. Albert Winstein analyzed it in 1905 and Jean Perrin used it...

I've seen some coefficent such as \frac{1}{2\sqrt 3} for triangle waves. Who ordered that? How can I derieve it? It doesn't seem to be \sqrt{ \frac{1}{T} \int_0^T {V^2 dt} } because I found something like that for triangle wave: V_m 2\sqrt 2 f (am I wrong?? or I'm calculating the wrong thing??)

Hello every9one I'm stuck on finding the first part: A series RLC circuit is driven by an alternating source at a frequency of 380 Hz and an emf amplitude of 90.0 V. The resistance is 20.0 , the capacitance is 12.1 µF, and the inductance is 24.2 mH. What is the rms potential difference...

Are there any accepted values of an rms speed of hydrogen atoms in the observable universe? Can you use a similar method as the maxwell speed distribution of gases, only centered on the center of mass of the observable universe (within velocity space)?

I have been having difficulties with this problem and I was wondering if I could get some help with it. Q. What is the rms speed of nitrogen molecules contained in a 7.0 m3 volume at 4.20 atm if the total amount of nitrogen is 1600 mol? I figured I would have to use this equation to solve...

hi all if you have a cylinder with helium and argon in it, and the mixture is at equilibrium, with a temperature of 150 degrees celsius. what is the average kinetic energy of each gas molecule?, and what is the rms speed of each type of molecule? im aware of the theory behind this, but it...