What is Electric flux: Definition and 283 Discussions
In electromagnetism, electric flux is the measure of the electric field through a given surface, although an electric field in itself cannot flow. It is a way of describing the electric field strength at any distance from the charge causing the field.
The electric field E can exert a force on an electric charge at any point in space. The electric field is the gradient of the potential.
I believe this does has a couple of Calculus aspects to it but I don't really know how I'd find the surface area of inside the bowl.
The answer sheet says the answer is 252 with a margin of error of +/- 1
For this problem,
The solution is,
However, why can the differential area not be:
I tried integrating and got,
Can someone please tell me what I have done wrong?
Thank you!
1) Why is the electric field 0 at the bottom of Gaussian surface? Isn't the electric field on both sides of the surface, pointing down and outwards like a plane of charge? see image.
2) Why does a charge distribution with cylindrical symmetry have to be infinitely long?
3) My book says a...
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...
1)Field Lines is supposed to represent the electric field around a charge ,now we can draw infinite field lines around a charge and sinc Electric flux is No of Field Lines /area ,does it become infinite ,the whole concept of field lines is quite in the Gray Area for me ,I can in theory mark...
$$\phi_E=\dfrac{Q_{\textrm{enclosed}}}{\varepsilon_0}\Rightarrow Q_{\textrm{enclosed}}=9,6\cdot 10^{-7}\, \textrm{C}$$
$$Q_{\textrm{enclosed}}=\sigma S=\sigma \pi R^2\Rightarrow \sigma =\dfrac{Q_{\textrm{enclosed}}}{\pi (0,1^2)}=3,04\cdot 10^{-5}\, \textrm{C}/\textrm{m}^2$$
I have a lot of...
My general understanding of electric flux density is 'electric flux per unit area'. This gives the SI unit N/C. But According the formula of electric flux density, D=eplison*E, the SI unit is C/m^2. How come the dimension in both cases not matching if both are true?
I have read three definitions of electric flux in textbook which is confusing me..
1. Electric flux is the number of electric lines passing through any area of a surface.
2. Electric flux is the number of electric lines passing through unit area per second held perpendicularly.
3. Electric flux...
Hi guys i have some concept issues about flux. My book says flux is proportional to the number of lines passing through that area. so my question is: first i am thinking that a 2D circle which has a 2r diameter and it is enclosing a 2q charge so its flux should be 2q/Epsilon.then i am thinking a...
I have tried to understand the solution given in the book which is as pasted below. The solution uses Gauss's Law but makes no mention of which Gaussian surface is used. The diagram that I have used to understand this problem is also given at the end. From the diagram, faces OADG, OABE and OEFG...
I noticed that in some textbooks (Physics - Tipler) the electric flux formula is different than in other textbooks (Engineering Electromagnetics -W. Hayt)
Which one should we use?
Phi= int(E.da) through a surface S
is a measure of “number of field lines” passing through S. I put this in quotes because of course we can only draw a representative sample of field lines. The total number would be infinite. But for a given sampling rate the flux is proportional to the number...
In this page you can see it’s written: E must be perpendicular to the surface. If it were not then the charges would move due to a component along the surface.
I am assuming the field is generated due to the charges on the surface.
I have a doubt. Is the author saying if it were not...
In the 7th edition of the book "Elements of Electromagnetics by Matthew N. O. Sadiku"
On page 190 the author goes on to say:
"We now consider the case in which the dielectric region contains free charge.
If ##\rho_v## is the volume density of free charge, the total volume charge density...
When I look at this question, I can see two possible values of electric flux depending on how I take the normal area vector for either ends ##A \text{ and } A^{'}##.
What is wrong with my logic below where I am ending up with two possible answers? The book mentions that only ##2E\Delta{S}## is...
Gauss law relates between E at some point on guassian surface with the net charge enclosed by that surface. Using gauss law is like being able to tell what (ie charge)is inside a gift box by just looking at the wrapper(electric field). There are two types of problem. Sometimes we know the charge...
taking origin at the centre of the square.
##d\phi = \vec E.\vec{da}##
$$d\phi = \frac {kqa}{(x^2 + y^2 + a^2)^{3/2}} da$$
$$\phi = \int_{-a/2}^{a/2}\int_{-a/2}^{a/2}\frac{kqa}{(x^2+y^2+a^2)^{3/2}}(dx)(dy)$$
on evaluating this double integral i get $$\phi = (q/\pi{\varepsilon}_0...
Let's say I place a positive point charge inside a hollow conducting sphere. If we take a Gaussian surface through the material of the conductor, we know the field inside the material of the conductor is 0, which implies that there is a -ve charge on the inner wall to make the net enclosed...
Hi! My main problem is that I don't understand what the problem is telling me. What does it mean that the surface is a flast disc bounded by the circle? Is the Gauss surface the disc? Does that mean that inside the circle in the figure, there is a disc?
Can you give me some guidance on how to...
Homework Statement
A 2cm x 3cm rectangle lies in the xy plane. What is the electric flux through the rectangle if
Electric field= (100i +50k) N/C
Homework Equations
Φe=E⋅Acosθ (Electric Flux Equation)
The Attempt at a Solution
My question is to find the magnitude of the electric field we...
Homework Statement
Griffiths' Introduction to Electrodynamics problem 2.10,
Homework Equations
Gauss' Law, ##\int_{S} \textbf{E}\cdot \textbf{dS} = \frac{Q_{\text{enc}}}{\epsilon_0}##[/B]The Attempt at a Solution
It seems reasonable that the flux through the shaded surface and the front...
Say you have a hollow cylinder, whose one side is open. Now, you pace a positive charge ##Q## at the centre of this open end (such that it is just inside the cylinder). How much should be the flux coming out from the closed end?
I just thought of this problem. In order to use Gauss' Law, we...
1.
A uniform linear charge density of 4.0 nC/m is distributed along the entire x axis. Consider a spherical (radius = 5.0 cm) surface centered on the origin. Determine the electric flux through this surface. Homework Equations
L=2rπ
φ=Q/ε
λ=Q/L
The Attempt at a Solution
I found the charge by...
Homework Statement
[/B]
An uncharged nonconductive hollow sphere of radius 10.0 cm surrounds a 20.0 µC charge located at the origin of a cartesian coordinate system. A drill with a radius of 1.00 mm is aligned along the z axis, and a hole is drilled in the sphere. Calculate the electric flux...
Homework Statement
Homework Equations
Gauss's Law
The Attempt at a Solution
I simply used logic and observed the symmetry of the cube. If the charge is placed on the middle of the cube, the flux would simply be Q/∈0. The face of the cube itself can be split into 4 squares, with the charge at...
I believe the electric flux within a closed space can be found with the equation phi = Q/ε0. Can this be used for volume and area, or just volume?
Also what good does this do. Why would I want to know the electric flux of something?
Homework Statement
A charged, straight line/rod of infinite length has a Discrete uniform distribution of charge, has a linear density of λ and is at a distance d from a sphere with a radius of R.
Find the entirety of the Electrical Flux that is caused by this charged rod, which passes...
Homework Statement
A uniform charge density of 700 nC/m3 is distributed throughout a spherical volume of radius 6.00 cm. Consider a cubical Gaussian surface with its center at the center of the sphere.
[reference picture]
What is the electric flux through this cubical surface if its edge...
Homework Statement
A circular loop with radius r is rotating with constant angular velocity w in a uniform electric field with magnitude E. The axis of rotation is perpendicular to the electric field direction and is along the diameter of the loop.Initially, the electric flux through the loop...
Homework Statement
A charge Q=5.14 nC
is located at the center is located at the center of a Gaussian sphere of radius R=10.0 cm
. The sphere lies within a uniform upward electric field E=2100 NC
The net outward electric flux through the sphere is What?
Second problem (bonus round!)
A...
Homework Statement
[/B]
A butterfly net hangs from a circular loop of diameter 400 mm . You hold the loop horizontally in a region where the electric field is 150 N/C downward, as shown in (Figure 1) .
What is the electric flux through the net?
Homework Equations
k = 9E9 N
E = kq/r2
Flux = Q...
I can say that Electric Flux is Electric field passing per unit area perpendicular to electric field lines. But the formula came up as Φ = ∫ E⋅dA. Well, take the case of pressure! That is force acting per unit area perpendicular to direction of force. But it's formula came up as P = F/A.
Now my...
The net flux over a closed surface is:
Flux = The surface integral of the field E = charge / permitivity in space (Gauss law)
The permitivity in space is:
8.85 10-12 Coulombs2/N m 2
So I understand the units of Flux are:
Newton meter2/Coulombs
Is this correct? I don't understand why in a...
Homework Statement
Hi,
So I'm doing a electromagnetics course and we've been given equations for electric flux and electric flux density but I can't seem to find any sort of intuitive explanation for these.
In my lecture notes, the electric flux density is introduced first as vector D and...
Homework Statement
An electric field given by https://edugen.wileyplus.com/edugen/shared/assignment/test/session.quest2560893entrance1_N10030.mml?size=14&ver=1486488694211 =...
Homework Statement
In (Figure 1) take the half-cylinder's radius and length to be 3.4 cm and 15 cm, respectively.
If the electric field has magnitude 5.3 kN/C, find the flux through the open half-cylinder. The surface here is the right half of the surface of a full cylinder. The surface does...
Homework Statement
I have three questions spanning three different situations, but each deal with the single concept of electric flux.
Problem 1: Write an expression for the net electric flux through the entire surface in terms of the area vectors and the electric field E.
Problem 2...
****EDIT****: I had improper significant figures. It was the correct number.
1. Homework Statement
The electric field on the surface of a 6.0 cm -diameter sphere is perpendicular to the surface of the sphere and has magnitude 52 kN/C .
What is the magnitude of the electric flux through the...
Homework Statement
A circle, centered on the origin, has a radius of 1 mm. At each "pole" (1,0), (0,-1), (-1,0), (0,1) is an electric dipole. The positive charge of +10 microCoulombs is inside the circle, the negative charge of -10 microCoulombs is just outside the circle.
What is the...
At this point I was given rho, sigma and landa to hold value of these three different kinds of density
ρ = Charge/Volume -------------- Volume Density
σ = Charge/Area ----------------- Area Density
λ = Charge/Length ---------------- Length Density
How do I know which type of density to use over...
Homework Statement
I need help in figuring out if I have done this problem correctly. From what I understand ∫E * dA = E*A, where E is the electric field and A is the area of a side. My biggest concern is if I can plug in the length "L" for the "x" and "z" variables within "E = -5x * E0/L i +...
Homework Statement
Hello,
A 3.60cm x 4.50cm rectangle lies in the xy-plane. What is the electric flux through the rectangle if E=(80.0i + 50k) N/C ?Homework Equations
Φ = E * A =EAcos(θ)
The Attempt at a Solution
My attempt:
First convert the rectangle units from cm to m.
4.50cm = 0.045m...
Hello,
The problem:
A 3.60cm x 4.50cm rectangle lies in the xy-plane. What is the electric flux through the rectangle if E=(80.0i + 50k) N/C ?
My attempt:
First convert the rectangle units from cm to m.
4.50cm = 0.045m
3.60cm = 0.036m
Find the area of the rectangle.
A = 0.036m x 0.045m =...
Homework Statement
Two hemispherical surfaces, 1 and 2, of respective radii r1 and r2, are centered at a point charge and are facing each other so that their edges define an annular ring (surface 3), as shown.
Homework Equations
The field at position r⃗ due to the point charge is:
E⃗ (r⃗...
Homework Statement
A long straight wire has a line charge, λ that varies in time according to: λ = λ0e(-βt). A square loop of dimension, a, is adjacent to the wire (at a distance a away from the wire). Calculate expressions for the displacement current at the center of the wire loop and the...
Why doesn't the flux through a Gaussian surface change, when the shape is changed? (while keeping the net charge inside it the same)
Flux is the dot product of electric field and surface area, so wouldn't it change if surface area is changed?