Electric flux Definition and 272 Threads

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?

When we looked at some closed surface, we defined the overall electric flux of that surface as the sum of all infinitesimal fluxes of all the infinitesimal surfaces that make the quoted closed surface. Does that change if we do not have a closed surface, but a rigid body such as, let's say, a...

How to define and calculate electric flux on mobius strip or klein bottle?These surfaces are non-orientable, so I feel confused about that. Thanks for discussion and help.[emoji4]

Homework Statement The electric flux density in free space produced by an oscillating electric charge placed at the origin is given by \vec{D}=\hat{r}\frac{10^{-9}}{4\pi r^2}cos(wt-\beta r), \ \ where \ \beta=w \sqrt{\mu_0 \epsilon_0} Find the time-average charge that produces this electric...

Hello, If we have a solid conductor with all of its charge on its surface, and we then enclose some its charge with a gaussian surface that goes inside the solid conductor, will the part of the gaussian surface within the conductor have any electric flux? My textbook says it will have zero...

Homework Statement A sphere of radius R = 1.40 m surrounds a particle with charge Q = 42.0 μC located at its center as shown in the figure below. Find the electric flux through a circular cap of half-angle θ = 28.0°. Homework Equations Φ = ∫E⋅dA E = (kq)/r2 A = πa2 where a = rsin(θ) --> from...

Homework Statement In figure 1, take the half-cylinder's radius and length to be 3.4cm and 15cm respectively. If the electric field has magnitude 5.9 kN/C, find the flux through the half-cylinder. Hint: You don't need to do an integral! Why not? Homework EquationsThe Attempt at a Solution I...

Homework Statement A slab of insulating material has thickness 2d and is oriented so that its faces are parallel to the yz-plane and given by the planes x=d and x=−d. The y- and z-dimensions of the slab are very large compared to d and may be treated as essentially infinite. Let the charge...

Homework Statement Assume the magnitude of the electric field on each face of the cube of edge L = 1.07 m in the figure below is uniform and the directions of the fields on each face are as indicated. (Take E1 = 35.1 N/C and E2 = 25.3 N/C.) A.) Find the net electric flux through the cube. B.)...

Homework Statement A point charge of +6μC is placed at a distance 20 cm directly above the center of a square of side 40cm.The magnitude of the flux through the square is Homework Equations The Attempt at a Solution Now how to enclose the charge completely?The answer is with the help of 5...

Homework Statement The figure shows a charge q placed at the centre of a hemisphere. A second charge Q is placed at one of the positions A,B,C and D .in which position(s) of this second charge , the flux of the electric field through the hemisphere remains unchanged ? 2. Relevant Point: My...

I know in such type of questions we should try to enclose the charge completely and symmetrically by as many bodies requires as that of the given body. Let's say if Charge Q is kept at the mouth centre of a hemisphere .Here a hemisphere is given so we know if another hemisphere is placed below...

Homework Statement In a region of space there is an electric field E(vector E) that is in the x-direction and that has magnitude E=(663 N/(C*m))x Find flux for this field through a square in xy plane at z=0 and with side length 0.330m . One side of the square is along the +x-axis and another...

Homework Statement an electric field is uniform,and in the positive x direction for positive x,and uniform with the same magnitude but in the negative x direction for negative x.it is given that vector E=200 I^ (N/C) for x>0 and vector E= -200 (N/C) for x<0 .A right circular cylinder of length...

Homework Statement the electric field components in the figure below are Ex=800 x^2 N/C ,Ey=Ez=0 calculate the flux through the cube a=assume 0.1 m Homework Equations The Attempt at a Solution here flux of cube =flux through ABCD =800a^2 i^.a^2 i^...

Homework Statement 1) A large cube has its bottom face on the x-z plane and its back face on the x-y plane. The corners on the x-axis are at (3.39 m,0,0) and (12.3 m,0,0). The cube is immersed in an electric field pointing in the positive x-direction, and given by: E = (91.2x^2 - 2.9)i, x is...

How much electric flux linked with the spherical shell having a hole?(consider the charge is outside the shell) I knew the flux linked with spherical shell is zero.(because it is closed loop.)

Homework Statement The electric field has been measured to be horizontal and to the right everywhere on the closed box shown in the figure. All over the left side of the box E1 = 80 V/m, and all over the right, slanting, side of the box E2 = 400 V/m. On the top the average field is E3 = 260...

Homework Statement Homework Equations Flux = ∫E.ds The Attempt at a Solution I need to get the projection of cone on a plane perpendicular to the electric field . The area thus obtained when multiplied by electric field would give the flux . I am not able to imagine the projected area...

Homework Statement According to my textbook, the electric flux through a disk of radius R situated at a height d from the xy plane is given by: ##2 \pi k_0 Q [1- \frac{d}{\sqrt{R^2+d^2}}]## Where ##k_0 = \frac{1}{4\pi \epsilon_0}## I'm having some difficulty obtaining this answer. Homework...

Homework Statement The Earth possesses an electric field of (average) magnitude 150 N/C near its surface. The field points radially inward. Calculate the net electric flux outward through a spherical surface surrounding, and just beyond, the Earth's surface. Homework Equations Flux =...

Why does electric flux have 'cos θ' in its formula??

Homework Statement An uncharged nonconductive hollow sphere of radius 12.0 cm surrounds a 11.0 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 through...

Homework Statement The drawing shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface (1) has an area of 2.20 m², while surface (2) has an area of 3.90 m². The electric field in the drawing is uniform and has a magnitude of 200 N/C. Find the...

Homework Statement If the electric field is constant in direction (horizontal in the x direction) but its magnitude decreases from E1 to E2, determine the flux through a cubical box of side length L if four of the sides of the box are parallel to the field. Homework Equations ∫EdA = flux The...

Homework Statement Assume I want to calculate the electric flux through a spherical surface centred at point P with radius R which contains a point charge Q, that is not concentric with the spherical surface. Here, I can no longer assume that ∫∫sEdA = E.A, and I have to calculate the value of...

Hey there... As far as I know, electric flux is a scalar quantity which means that negative values are smaller than zero. This concept really confuses me since most of the exercises I dealt with suggest that negative flux somehow is larger than zero flux Example 1 the uniform field is directed...

Why is the electric flux defined as (electric field) x (area), Φ = EA? How do you come up with that equation? Is it because the electric flux is proportional to the charge and surface area?

Homework Statement A spherical charge distribution is given by p = p_0 (1- \frac{r^2}{a^2}), r\leq a and p = 0, r \gt a , where a is the radius of the sphere. Find the electric field intensity inside the charge distribution. Well I thought I found the answer until I looked at the back of...

Homework Statement I need to create an equation that can tell me the electric flux through the surface of a sphere (centered at the origin) due to a point charge placed at various locations in/around the sphere. For example, find the electric flux through the sphere (of radius = 1) with a point...

Homework Statement A 1x1x1 cm box with edges aligned in the xyz-axes is in the electric field E = (350x + 150)i N/C, where x is in meters. What is the net electric flux through the box? Homework Equations flux = ExAx + EyAy + EzAz The Attempt at a Solution I substituted into the formula...

I'm relearning basic electricity concepts and I can't find an answer to a situation I've thought up. Imagine a cube with no enclosed charge and an electric field through it parallel to two of its faces. Guass's law says that the flux should be zero because there is no enclosed charge. Every...

I'm relearning basic electricity concepts and I can't find an answer to a situation I've thought up. Imagine a cube with no enclosed charge and an electric field through it parallel to two of its faces. Guass's law says that the flux should be zero because there is no enclosed charge. Every...

Homework Statement What is the flux of the uniform electric field E=8 N/C through an equilateral triangle with the side a=1m, if the normal vector makes 60 degrees to the direction of the electric field. Homework Equations \phi=EAcosøThe Attempt at a Solution E=8 N/C A= √3/4 m^2 Is the ø in...

I'm taking E & M II... Would anyone agree that the following statements are true? An electric field changing in time gives rise to a displacement current. A magnetic field changing in time gives rise to an electromotive force.

Each sub-cube of the puzzle has edges 3.0 cm in length. A 8.0 nC point charge lies at the puzzle's center. What is the flux through the one face of the sub-cube labeled with the logo? Note: Its referring to a Rubik's Cube that has 8 sub cubes I used the equation where i divided the charge by...

what is meant by electric flux... and how does an electric flux gets 'cancelled'? can a electric flux exist even when electric field is zero??

hello guys :) i need your help with this problem i can understand that in (a) we will use the integral of row(v) * dv to get the charge and in (b) we will use the formule D(r)=Q/[4*PI*r^2] but in (C) should it be zero or what ?? and if it should be zero why in the solution manual it...

I don't believe they are because the field lines don't have a representation such as flux but I want to be sure. Also are flux lines a vector quantity?

Homework Statement Determine the charge density due to the following electric flux density: \overrightarrow{D} = \hat{r}4rsin(\phi ) + \hat{\phi}2rcos(\phi)+\hat{z}2z^{2}Homework Equations \rho _{v} = \triangledown \cdot \vec{D} \rho _{v} = \frac{\partial }{\partial r} + \frac{\partial...

Hello Guys ! iam studing the electric flux and how the relationship between D ( electric flux density ) and E ( elecric field) but i found this problem and i don't know which formula should i use to solve it to find the electric flux i know that Q=(Psi)=the electric flux but i don't...

Homework Statement Find the electric flux through the plane surface shown in the figure below if θ = 64.2°, E = 375 N/C, and d = 4.70 cm. The electric field is uniform over the entire area of the surface. Homework Equations The Attempt at a Solution By using the equation:EAcosθ...

In my book is says the electric flux density D is equal to εE if the medium is linear and isotropic, where E is the electric field and permittivity ε is a scalar. I have no idea what they mean by a linear and isotropic medium.. How am I suppose to know if the medium is linear or isotropic?

In my textbook there are two types of electric flux problems: 1. Find the electric flux through the parabolodial surface due to a uniform electric field of magnitude E_0 in the direction as shown. Here they use ##\pi r^2 * E = \Phi ## 2. An infinitely long line charge having a...

Electric flux textbook discrepancy ?? my textbook says "q enclosed for the Guastian surface in a1 would be the positive charge enclosed by a1: the negative charge does contribute to the electric field at a1 but it is not enclosed by surface a1 and so is not included in q enclosed". ...…..;…...

During my physics lecture, the professor said that flux on a closed surface is equal to zero. What exactly is a closed surface defined as? This problem also requires the use of the Flux = Field * Area formula. In relation to the direction of the electric field, what is the area for Part B...

electric flux through a surface placed between... Homework Statement a circle of radius R is kept in the middle of two opposite point charges of Q,-Q.distance between the charges is A, circle is kept at A/2 . what is the electric flux through the circle? Homework Equations ∫E.dA=ø...

Homework Statement A sphere of radius ## R ## carries charge density ## \rho = ar^5 ## where ## a ## is a constant. Find the flux ## \Phi ## of its electric field through a surface of a circle with radius ## R ## if the circle lies in a plane tangent to the sphere and its center touches the...

Homework Statement The Earth's radius is 6370 km . There is a downward-pointing electric field in the atmosphere above the Earth's surface, of average magnitude 140. N/C . a) What is the flux of the electric field out of the Earth? b) What is the charge on the Earth? Homework...

Hey, all, so I have been studying this problem all morning, and I do not understand two aspects to this example problem. I included a photo of the diagram used in this problem. You will see two cubes, but the diagram which corresponds to the problem below is the one on the right.PROBLEM: Find...