Homework Statement
The total magnetic field intensity at the location of Edmonton was 57652 nT on March 20, 2012, when I first wrote this question. Now, on Feb. 19, 2013, it is 57569 nT. The magnetic inclination is +75 degrees (i.e., it points downward at an angle of 75 degrees with respect to...
Homework Statement
Compute the flux of \overrightarrow{F}(x,y) = (-y,x) from left to right across the curve that is the image of the path \overrightarrow{\gamma} : [0, \pi /2] \rightarrow \mathbb{R}^2, t \mapsto (t\cos(t), t\sin(t)).
A (2-space) graph was actually given, and the problem...
Homework Statement
A point charge +Q is placed at the center of a cube. What is the electric flux through a face of the cube?
Homework Equations
Flux = Q/ε
The Attempt at a Solution
The answer is Q/(4ε), but I thought it should be Q/(6ε) which isn't even an option. I'm I crazy? Since there...
Homework Statement
gas impingement flux density is given by ∅=P/\sqrt{}2mkT
where m- mass of a molecule
show that
∅=3.513*1022P/\sqrt{}MT
where pressure in torr and M-molar mass of molecule
then ∅ in molecules per cm2 per second
Homework Equations
∅=3.513*1022P/\sqrt{}MT...
Given is vector field
\overrightarrow{C}(\overrightarrow{r})=r
calculate flux
\Phi =\int_{S} \overrightarrow{C}\cdot d\overrightarrow{A}
through sphere S with beginning in [0,0,0] and r=1
Homework Statement
In homogeneous magnetic field the magnetic flux density vector is B = (0, 5T)ez (ez is unit vector in z direction). There is a sphere of radius R = 2cm with its centre at the origin. Find the flux crossing that half of the
sphere surface for which z larger or equal to 0...
[b]1. The problem statement, all variables and given/known dat
Say I have a closed surface
is the flux across this closed surface only zero if the force originates from inside the surface?
What about if it originates outside the closed surface and can penetrate through the closed surface...
Homework Statement
Let F(x,y,z)= a^2 xi+(y/a)j +az^2k and let sigma be the sphere of radius 1, centered at the origin and oriented outward. Find all values of a such that the flux of F across sigma is 10.
Homework Equations
Stokes Theorem
Gauss's Theorem...
[b]1. The flux of a conserved quantity can be written
q(x) = -x2 (du/dx)-u
If the source term is f(x) = x, write the strong form of the conservation law.
I know the form of the strong form is : d/dx(c du/dx)+f(x)=0
I have no idea where to begin for this problem. The examples my professor gave...
1. A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius . The normal to the plane of the loop is parallel to a constant magnetic field of magnitude 0.75 T. What is the change in the magnetic flux that passes through the loop when...
Homework Statement
An infinite line of charge is along the entire x-axis has a constant value for λ. A hemisphere is centered at the origin and has a base circle of radius a. What is the electric flux throught the hemisphere
Homework Equations
Flux = Q enclosed / ε
The Attempt at a...
Hi guys,
I would like some help understanding how flux works. I think I am missing some basic knowledge hence I am unable to answer my homework question.
How would the flux change be calculated at the radiation belt of the earth? I am doing this for a low level electron (80keV) and...
Homework Statement
In a region of space there is an electirc field E that is in the z-direction and that has magnitude E=(964 N/(c*m))x. FInd the flux for this field through a square in the xy-plane at z=0 and with side length .350 m. One side of teh square is along the + x-axis and another...
Hey. So if I have a condenser, where the electric field between the plates is equivalent to 50kV/m, the electric flux density D= ε0*50kV/m.
If I insert a dielectic between the plates, the electric field will decrease to 10kV/m, and kappa (the relative permittivity) equals 5. So, will the flux...
Let's say there is a cube sitting in the first octant. Our F(x,y,z): <ax , by, cz> and Each face of the cube is oriented to outward pointing normal. Can I just calculate the the flux of one face and then multiply this by the number of faces to get the total flux? Will flux in a cube always be...
Homework Statement
A hemispherical surface with radius e in a region of uniform electric field E has its axis aligned parallel to the direction of the field. Calculate the flux through the surface?
Homework Equations
Flux = E A cos β
The Attempt at a Solution
Why can't we say...
Homework Statement
Hello, the problem I am working on is:
Assume the magnitude of the electric field on each face of the cube of edge L = 1.05 m in the figure below is uniform and the directions of the fields on each face are as indicated. (Take E1 = 31.5 N/C and E2 = 26.5 N/C.)
(a) Find...
Homework Statement
There is a half space z>0 full with hydrogen gas with density n atoms / metres cube.
An incident wave plane with pulsation ω coming from z = -∞ arrives at the surface of incidence. This wave transports a flux of energy ∅0 at z=0.
We consider a elementary cylinder whose axe...
I have two parallel air coils attached to each other but separated by 3" of air. if I move a magnet past one coil it will induce a magnetic flux into it and that will create a voltage across it. Will that voltage transfer to the other coil thereby creating a magnetic pulse in the second coil...
Homework Statement
Twelve infinite long wires of uniform linear charge density (λ) are passing along the twelve edges of a cube. Find electric flux through any face of cube. (see attachment)Homework Equations
The Attempt at a Solution
I have actually solved the problem but I think there's a...
Homework Statement
An insulating sphere of radius R has positive charge uniformly distributed throughout its volume. The volume charge density (i.e., the charge per volume) is ρ.
What is the flux through a Gaussian spherical shell of radius R/2 that is totally contained inside the charged...
Homework Statement
a cylindrical solid of charge q, radius R, and length H. The Gaussian surface S is a cylindrical shell of radius r and length h, with r < R. Determine the net electric flux given that q = -48Q, R = 4L, H = 3L, r = 2L, and h = 2L (type the integer value, along with the sign...
Homework Statement
A particle with charge Q is located immediately above the center of the flat face of a hemisphere of radius R as shown in the figure below.
(a) What is the electric flux through the curved surface? (Use any variable or symbol stated above along with the following as...
Homework Statement
Consider a uniformly charged sphere (an insulating sphere of radius R,) and a spherical Gaussian surface with radius R/2 concentric to the sphere. What is the total flux flowing through the Gaussian surface?
Homework Equations
Vsphere= (4∏R^3)/3
Asphere= 4∏R^2
Gauss' Law...
Homework Statement
The elctric field in a certain region of space has components Ex = 6.0 N/C, Ey = 7.0 N/C, and Ez = 0. Find the electric flux though the surface x = 6y, 0 < x < 6.0 m, 0 < z < 1.0 m. What is the angle between the electric field and the unit vector normal to the...
Homework Statement
A small disc or radius R with surface normal
ˆ
k is placed a distance z from a point charge −q,( k hat pointing along the z-axis which goes through the charge and the center of the disk.)
Assuming that R ≪ z, derive an expression for the electric flux ΦE passing through...
An E field exists in a region of space and it can be described by:
\bar{E} = \hat{i}xy^2
Calculate the flux through a cube of size 1.0m, with one end extending into the positive x,y and z directions.
Find the charge enclosed.
I have no idea how to start this? can someone point me in...
Homework Statement
F(x,y,z) = x^3zi + y^3zj + xyk
across the surface x^2 + y^2 + z^2 = 9Homework Equations
See attached imageThe Attempt at a Solution
See attached image.
I'm fairly certain there's either something wrong with my initial integral, also I don't think I integrated correctly with...
Hello Everyone.
I am working on a DC-DC converter design which uses a transformer with an additional inductive element on the secondary side. The coil charges a large capacitor.
Since there is an additional inductive element on the secondary side the inductive element builds up a field...
Homework Statement
A uniform electric field of magnitude 6.5 \frac{N}{C} passes through a circle of radius 12 cm. What is the electric flux through the circle when its face is perpendicular to the field lines.
The Attempt at a Solution
The only problem with this question is picturing the...
Homework Statement
A laser provides pulses of EM radiation in vacuum lasting 7.47* 10-12 s. If the radiant flux
density is 2.65 * 1020 W/m2, determine the amplitude of the electric field (x *1011) of the beam. Units are required as listed in instructions.
Homework Equations
Irradiance =...
Homework Statement
1) A small disc of radius R with surface normal ##\hat{k}## is placed a distance z from a point charge −q. Assuming that R ≪ z, derive an expression for the electric flux ##\Phi_E## passing through the disc.
2) Twenty-seven drops of salt water with the same radius are each...
QUESTION
A star of bolometric luminosity L at a distance r will exhibit a bolometric energy flux F given by
F = L/4πr2
in the absence of obscurity.
A. Assume that all stars have the same bolometric luminosity L and that stars are uniformly distributed in space with a number density n...
https://www.smartphysics.com/Content/Media/Images/EM/03/h3_lineD.png
In the image above, i was asked to find the electric field at point P. since the y-components cancel due to symmetry, i used he equation \Phi=\intE dA=Qenclosed/\epsilon .
I found q1 and q2 by multiplying (charge density x...
what is flux...?? is it a scalar or a vector and difference bet flux and flux density
i have read the articles where the flux (either in case of electric flux or magnetic )is described as the no of lines passing through a surface area ( open in case of magnetic characterized by boundary and...
Homework Statement
\vec{F}=(4x, 3y, 0)
Find the flux over the part of the sphere centered at (0, 0, 0) with radius 4 between the planes z=-1.19 and z=0.87.
The Attempt at a Solution
\hat{N}=(x, y, z)/4
\int\int_{S}(4x, 3y, 0)\bullet([(x, y, z)/4])dxdy
0.25\int\int_{S}(4x^2+3y^2)dxdy
The issue...
Gauss equations state that the flux of a gaussian surface is equal to the sum of all the electric field times the surface area.
Although he stated this in theory, how was he able to prove it possible. What measuring device do people use to prove that this theory is correct?
Homework Statement
An electric field given by \vec E = 4.0 \hat i - 3.0(y^2+2) \hat j pierces a 2.0 meter by 2.0 meter by 2.0 meter cube. What is the electric flux thru the top face?
Homework Equations
\phi = \int \vec E \cdot d \vec A
The Attempt at a Solution
I'm aware that you...
Am I understand correct that when an air coil pass through magnetic flux, it create current and emf? power = IV
If turns increase, do I get more power? why?
If power changes, then how to get out max power.
A friend of mine told me that in order for Back-EMF to be generated,
The flux lines has to be parallel. Is that true?
This question is based on a electromagnet - magnet set up. The flux lines must be parallel?
At least C-EMF can be generated but if the flux lines are perpendicular it will...
Hey everyone,
I am currently attempting to determing the leakage flux (for all intents and purposes) from a solenoid (DC current) with various core shapes and sizes. I have tried doing this using Comsol and Feko, but so far have been unable to. Does anyone have any knowledge of either of these...
Find the net electrical flux through a closed sphere of radius R in a uniform electric field
I know that the flux is going to be 0 since there is no charge enclosed, but how would I show this mathematically? The next half of the question asks about a cylinder with sides parallel to the electric...
a type II superconductor may not exhibit complete exclusion of magnetic field due to quantum vortices. It is my understanding that the magnetic field present will affect the number of vortices or fluxons present, but what is the relationship between magnetic field, and number of vortices in a...
Hi,
I have read a lot about Diffusion Equation and solving neutron flux problems in different mediums, planes and groups, but I can't grasp this topic. In other words, I don't know why they mention:
1. Infinite/finite medium
2. Homogeneous/non-Homogenous medium
3. One/two or multi-group...
Homework Statement
I've attached an image with the entire question.
Homework Equations
Attached an image with relevant equations. Can't use Gauss' Divergence
The Attempt at a Solution
In the attached image I've also included the start of my calculations, I just need to see if my...
Homework Statement
https://www.smartphysics.com/Content/Media/Images/EM/03/h3_lineD.png
Where, λ1 = -3.2 μC/cm, λ2 = 9.6 μC/cm, a = 8.5 cm and h = 11.4 cm. a/2 = 4.25 cm.
What is the total flux that passes through the surface of the cylinder?
Homework Equations
E = 2kλ/r
\Phi...
Hey Folks, I am a third year electrical engineering student and just want to clarify a concept involving electromagnetics/transformers.
When supplying magnetization current to a transformer (assume sinusoidal), this induces a time changing magnetic flux in the core. The time changing magnetic...
Hi everybody,
first time poster here. I am working on calculating the force of magnets in a 3 dimensional space. I have found a formula for the magnetic flux density at a distance z from the magnet face at this link http://www.magneticsolutions.com.au/magnet-formula.html, under Flux density at...
Homework Statement
A star as an apparent visual magnitude of 14 and an absolute visual magnitude of 14.7. I have worked out that its distance is 7 parsecs. The sun has an absolute visual magnitude of 4.8 and an effective temperature of 5800k. If the star has the same effective temperature of...