Calculation Definition and 1000 Threads

I've already tried to calculate the potential with respect to the 3 segments and then apply superposition (V1+V2+V3). However, I was not very successful. My error I think is in the calculation of the radii, mainly of the line segment that is on the z axis. Can anybody help me? I need some light...

Hi all, I am currently reading through this paper: https://iopscience.iop.org/article/10.1088/1367-2630/10/4/045030 and would like to reproduce their results for N=5. My roadblock is with (9), which models the classical motion of the system. Now symbolically finding the eigenstates of the matrix...

Hey all, I am currently trying to find the Eigensystem of the following 5x5 matrix in Mathematica. Unfortunately, doing so takes an insanely long time (I cannot even call Eigensystem[p][[1,1]] in a reasonable amount of time). Does anyone have any advice? Also I cannot simply redefine new...

Observe that ## 2\chi 99561=[3(523+\chi)]^{2}=9(523+\chi)^{2} ##. This means ## 9\mid [9(523+\chi)^{2}]\implies 9\mid 2\chi 99561 ##. Thus ## 9\mid (2+\chi+9+9+5+6+1)\implies 9\mid (32+\chi) ##. Therefore, ## \chi=4 ##.

Inductance of antenna coils of different shapes can be estimated. Some examples are: A circular coil with single turn. N turn multilayer circular coil. Spiral coil. N turn squae loop coil. etc. For plannar design (spiral, rectangular, etc) I have used this reference (from pag. 9 onwards)...

hello i would like to get some help with this problem. At first it try to calculate the impulse by the area but i found it too difficult Then i try to solve it by the forumla J= F(t-t0), but the problem is that i don't know what F is so i try to solve it like this F10) = 8 F(33) = -13 so EF =...

Hi, this is my first time here. I'm and E&E student currently working on a project. I'm trying to calculate the overall displacement of my device given the X and Y displacement of the object and also the yaw heading of the device. The direction of the heading is the direction where the X axis...

Friends, hello everyone! Please help with this calculation. The mass of Venus is 81.5% that of the earth, and its radius is 94.9% that of the earth. (a) Compute the acceleration due to gravity on the surface of Venus from these data. (b) If a rock weighs 75.0 N on earth, what would it weigh at...

I know how to solve the question but I am a bit confused about why there is a current of 3 A and a voltage of 110 V requirement for the refrigerator but the power plant only supplies 110 V. How can there be a voltage drop on the refrigerator load of 110 V, when there is also a voltage drop on...

I am confused at this calculation of the electric flux through a trapezoidal surface. The flux in should equal the flux out. The flux in equals -E*A1 where A1 is the area of the bottom of the trapezoid. The flux out equals E*A2 where A2 is the area of the top of the trapezoid. But the two fluxes...

one of the claimed successes of string theory is its ability to derive the correct Hawking-Bekenstein equations to calculate the quantum entropy of a black hole without any free paramenters, specifically Extremal black hole entropy using supersymmetry and maximal charge. I was wondering if...

= tangle equation = Inequality condition = partial trace formula. To find the tangle, we need the square concurrence value of ABC states as mentioned in a tangle equation. I am not able to find the value of square concurrence.

Hi, a question: Construct a resonant dipole to receive 12MHz. Answer; λ = c/f = (3x10^8) / (12 x10^6) = 25m The dipole length λ/2 = 12.5m The length of each side dipole is 12.5m/2 = 6.25m Im confused, isn’t it the answer is 12.5m? Why require to divide 12.5m/2 again to get the answer...

The title pretty much covers it. I'm having to calculate the field induced inside the human body by an antenna in the near field (essentially, a phone placed close to a user's head), and I'm drawing a blank on how to relate the field generated by the antenna to the field induced inside the...

I tried using the equation Q'*t= Q1+Q2. Where Q' is the energy of the reactor aka 200,000 kJ and t is the time. Take Q1 to be (1/2m*2257) and Q2 to be (1/2m*4.184*90). The 90 is the change in temperature for the phase change to occur from liquid water to gas, or boiling. Plugged everything in...

Hi! My team and i have been stuck in this school project for awhile. Been reading up a lot but can't find the answer. We have been designing and rotating platform that is able to rotate a load of 2000kg. So the rotating platform would something similar to those car turntables where there would...

*Pathria, Statistical mechanics pg 11,4ed* The text is long but it is straightforward. The question is at last about the equation given at end In order to find the number of microstates ##\Omega(N,V,E##) author writes " In other words, we have to determine the total number of (independent)...

I am performing extraction flash calculations for 4 component and 2 phase system. For anyone somewhat shaky with what extraction flash calculation is; extraction is performed, feed composition is known and we are calculating compositions of both phases at equilibrium, mole fraction of every...

Summary:: A 4.3 mH toroidal inductor has 100 identical equally spaced coils. If it carries an 11.6 A current, how much magnetic flux passes through each of its coils? Express your answers in milliwebers. 4.3 mH= (Wb/A) 100= N 11.6= I Φcoil= ? So from my observation of another question...

Hi guys, this is an exercise I have been tasked to solve for an assignment. First of explaining you what I have done to solve it using the shear equation, in order to find the maximum shear stress and the shear flow in the juncture, one big question: how is it legal to utilize the shear formula...

This is my first post of this topic so I hope it is in the correct place. I need some help to figure out the using of GAUSSIAN in order of calculate the dipole and quadrupole moment for the carbon monoxide molecule with different levels of theory (SCF and Post Hartree Fock methods). In...

Hello, everyone! I am calculating the time of substrates' heating in the vacuum chamber. It is a simple mathematical model to calculate roughly how much time does it take to heat polycor substrates in the vacuum chamber. At least all the tube heater`s power heats the substrates (this is...

Hi, I am trying to figure out how much weight is needed to counter balance a pole stand where an object(m kg) is hanging. I also want to know which is more effective way to place counterweight as shown in the picture below. I was wondering if the counterweight A, B, and C are equal. It seems...

My source for Ωk and H0 is https://www.cosmos.esa.int/documents/387566/387653/Planck_2018_results_L06.pdf , page 40, equation 47b. Ωk = 0.0007. Page 15 equation 13 has H0 = 67.27 km/(s Mpc). The formula I used is R = (c/H0) (1/Ωk)1/2 . ( I did have a reference for this, but I misplaced it, and I...

On page 180 they write the following passage: My question is how do I get ##F^M_{(0,0)}## from ##F^M_{(0,0)}(q^2)## for large ##q^2##. I tried using Mathematica's free input to get the series ##1/(1+x^2)^2=1-2x^2+3x^4+O(x^6)##, in our case ##x=\gamma/q##. But it doesn't seem to fit the result...

Apologies if this is the wrong forum. I have an application where I need to measure the bend angle of a tube and display the resulting angle on a screen. I am using a laser mounted in a fixed location which reports distance back to my controller, (scaled to millimeters.) I am measuring from 92...

Hello, Hope you had a merry Christmas, :wink: In order to deepen some knowledge on the notion of relative simultaneity, I studied a graph taken from a video, and the ages of the twins being very very rounded, I decided to make precise calculations using two methods different. I would like to...

$$Vstator_{peak} = 120√2 *√2 = 240 V$$ $$Istator_{peak} = i_{q} (current on q axis)= 20*√2 = 28.2842 A $$ $$ω{15} = Ω_{15} * p = 2π * 15 = 94.2477 rad/s$$ $$ω{15} = Ω_{15} * ψ_{pm}$$ Hence $$ψ_{pm} = e0/ω15 = 168.3V/94.2477 rad/s => ψ_{pm} = 1.79 Wb$$ $$M = 3/2 * p * ψ_{pm} * iq $$ Hence $$ M...

This isn't technically a homework problem, but I'm trying to check my understanding of the geometric phase by explicitly calculating the Berry connection for a simple 2x2 Hamiltonian that is not a textbook example of a spin-1/2 particle in a three dimensional magnetic field solved via a Bloch...

I would like to discuss in detail an interesting aspect dealing with general considerations and methods to calculate the Q factor of oscillating systems on the example of this regenerative receiver. Althought it is closely related to the discussion here discussion here (especially Baluncore's...

Homework Statement:: R1 = 2kOHms; R2 = 2kOHms; R3 = 3kOHms; R4 = 3kOHms; VS = 25V; IS = 10mA [5,5] a) Determine the power provided by the source dependent on current using method of the nodes [3.0] b) What is the value of electrical power dissipated in all resistors in the circuit? Relevant...

Hi all, I got an exercise to plot Bethe-Bloch function (ignore the "Compare..." part, it belongs to an exercise above), for alpha particle in Xenon. See the question below: I've been struggling to get a plot that makes sense. I checked my parameters and the units a million times already, but...

An exact gravitational plane wave solution to Einstein's field equation has the line metric $$\mathrm{d}s^2=-2\mathrm{d}u\mathrm{d}v+a^2(u)\mathrm{d}^2x+b^2(u)\mathrm{d}^2y.$$ I have calculated the non-vanishing Christoffel symbols and Ricci curvature components and used the vacuum Einstein...

Given the following input parameters: Parameter Value Rs (Resistance through stator) 1.4 Ω Rr (Resistance through stator) 0.7 Ω Ls (stator inductance) = Lr (rotor inductance) 0.002 H xs = xr = 2*π*f*Ls 0.6283i Ω Lm(magnetic inductance) 0.01 H xm = 2*π*f*Lm 3.1415iΩ f (frequency)...

Hi everybody, I'm a mechanical engineer working on a phototherapy project, which includes choosing a LED light source that emits a spectral irradiance of 30 µW/cm^2/nm. however, most of the LEDs datasheets giving you the lumens at best. i was able to calculate the irradiance [µW/cm^2] from...

[Mentor Note -- thread moved to the schoolwork forums from the technical forums] Summary:: I would like to understand how to calculate the error of a measurement provided by a measuring chain Hello to everyone, I'm going to explain the problem I would like to understand better. Thank you for...

Hi! I am working on a design project. I already know all the loads (moment, force and gravity) on the shaft. I want to calculate the bearing requirements to help me choose the right bearing. All loads are very small, and the key requirement of the entire system is high accuracy. Can I assume...

Hi all, I will like to simulate diffracted spots at least two spots, on a camera. I will be glad if someone can help out with a code. below are the details required: camera pixel size = 4um (each pixel can be sub divided for better calculation), gap size = 100nm, camera length = 4000 x 4000...

Hi all, Currently I am working on a home-project, making a trike. Now just for fun and because I like to calculate things, I calculated the deflection of a frame with a load. The frame is shown in the picture below, I added the force for clarity. With my analytical calculation I found a...

The text gives the answer as 92ºC. The answer is arrived at by doing ##Q=Mgh=mc\Delta T##. But it is unclear to me if they are the same. I checked the coefficient of friction and it definitely seems to be considerable. Is the entire PE lost by the truck going to result in increasing the...

"We know only where she was at intervals of one minute from the table; we can get a rough idea that she was going 5000 ft/min during the 7th minute, but we do not know, at exactly the moment 7 minutes, whether she had been speeding up and the speed was 4900 ft/min at the beginning of the 6th...

Which is the mathematical procedure to obtain ##\delta r = \frac{GM}{3c^2}## from ##\nabla^2 V = R_{00} = 4\pi G\rho## where ##\nabla^2 V## is volume contraction of a spherical mass of density ##\rho## and ##R_{00}## is the 00 component of Ricci tensor ##R_{ij}##?

Hi, here is my attempt... Feel free to correct me if I am doing it wrong. v1 = .8 m3 p1 = 250 or 250000 n/m2 p2 = 7000 or 7000000 n/m2 Cp = 1010 Cv = 7321. isothermally p1v1 = p2v2 [Boyle equality law (isothermal process)] 250 000 * .8 = 7000000 * v2 7000000 * v2 = 250 000 * .8...

This Q was asked in a chat room: Find the number of pulls (draws from the distribution) required to have a 50% chance of getting a full set of event 5*s (*'s denote rarity in the game) from the Magic Tower Summon (of the Empires & Puzzles mobile game) which has 5x event 5*s each at a 0.2% drop...

Hey! 😊 I want to calculate the integral $$\int\frac{1}{(x+4)(x^2-8x+19)}\, dx$$ I have done the following : $$\frac{1}{(x+4)(x^2-8x+19)}=\frac{1}{67}\frac{1}{x+4}+\frac{1}{67}\frac{12-x}{x^2-8x+19}$$ and so we get \begin{align*}\int\frac{1}{(x+4)(x^2-8x+19)}\, dx&=\frac{1}{67}\int...

I am trying to calculate the flow rate of O2 from a known volume 25 in^3. The cylinder will fill up to a maximum pressure of 140 psi in 11.26 seconds. Any help to determine the flow rate will be appreciated. Do I use Bernoulli equation to find the flow rate?

I use the equation find that ## F = q v B sin(theta) ## F = 0.01*300*5*10^-5*0.5 F =75 N I don’t know why my solution is not correct?

Hi All, I must calculate the torque and for an agitator motor. An anchor type agitator/scraper, removing crust off the edge of a tank. My instinct is the max or startup torque will be = (Moment of Inertia) x (Angular Acceleration) + (Drag force of the submerged impeller)* Max radius +...

Hello. I am not familiar with spherical trigonometry while I am reading a solution in a GR problem book. It reads, I study spherical trigonometry on Wikipedia and some other sites, but I am still not sure how to calculate the angular excess. First, is angular excess equivalent to spherical...

This was the question, The above solution is the one that I got originally by the question setters, Below are my attempts (I don't know why is the size of image automatically reduced but hope that its clear enough to understand), As you can see that both these methods give different answers...