Sample Problems to calculate Electric Flux
01. A point charge of 1.8mC is at the centre of a cubical Gaussain surface having each side 50cm. What is the net electric flux through the surface?
Suggested answer:
According to Gauss' theorem, flux = q / sigma sub0 or 1.8mC/8.854 x 10^-12...
Homework Statement
A charge of 2.1 µC is 20 cm above the center of a square of side length 40 cm. The permittivity of free space is 8.85*10^-12 C^2/N*m^2. Find the flux through the square. Answer in units of N*m^2/C.Homework Equations
The Attempt at a Solution
I really need some help with...
Homework Statement
A 0.100A current is charging a capacitor that has square plates 5.00cm on each side. The plate separation is 4.00mm. Find (a) the time rate of change of electric flux between the plates and (b) the displacement current between the plates.
Homework Equations
I pretty...
Temp message
This is what a book says -
“The number of lines per unit area through a surface perpendicular to the lines is
proportional to the magnitude of the electric field in that region. Thus, the field
lines are close together where the electric field is strong and far...
Homework Statement
A uniformly charged conducting sphere of 1.6 m diameter has a surface charge density of 8.0 µC/m2. What is the net charge of the sphere, and what is the total electric flux leaving the surface of the sphere?
Homework Equations
surface charge density = q/A
flux = E x...
A source states "Electric flux = q coulombs"
While another states
"We choose the number of field lines starting from any positively charged object to be Cq and the number of lines ending on any negatively charged object to be C|q|, where C is an arbitrary proportionality constant...
Homework Statement
A 2 C charge is spread uniformly in a hollow sphere with a radius of 50 cm.
a) What is the electric flux?
b) What is the magnitude and direction of an electric field 200 cm away?
Homework Equations
Electric flux = q/(permittivity of free space)
E = q/4(pi)(permittivity...
Homework Statement
The electric flux density in space is given as D = 2xy(ax)+x^2(ay) C/m^2. A box is given as: 0<=x<=1; 0<=y<=2;0<=z<=3 (m). It is found that the total electric flux out of the box is (Wo). The charges creating the electric flux density D are now removed and replaced by a...
given a cube,each side with a lenth of A, placed at with its back left hand bottom corner at (0,0,0).
find the electric flux passing through the sides if the electric field is
a) E=(-3x)i + (2y)j + (4z)k
b) E=(sin(pi*x/A)i + cos(pi*y/2A)j
for a) since the area of each side is A2...
Homework Statement
I am reading through my textbook about an application of the divergence theorem involving a point charge enclosed by some arbitrary Gaussian surface. When the author evaluates the ∫sE dot dA, they rewrite the expression as a double integral in spherical coordinates I am...
Homework Statement
A very small electric dipole is a distance z from the center of a loop of radius a, with its dipole moment vector p directed along the axis of the loop. The component of the electric field of the dipole perpendicular to the loop at any point P is a distance r from the dipole...
A question has 2 spheres of different diameters surrounding equal charges 'q'. Diameter of sphere A is smaller than diameter of sphere B. Now are the flux for both equal or not? I think they are equal because total flux = Qenclose/ epsilon-knot, so flux only depends on the charges. But then...
Homework Statement
In the figure, a point charge -3.2μ C is a distance d/2 directly above the center of a square of side d = 0.34 cm . What is the magnitude of the electric flux through the square? (Hint: Think of the square as on face of a cube with edge d.)
(in N*m^2/C)
Homework...
Homework Statement
This is the question.
Charges q1= -6Q and q2 = +2Q are located at x =-a and x = +a, respectively.
Homework Equations
Part A
What is the net electric flux through a sphere of radius 2a centered at the origin?
Part B
What is the net electric flux through a sphere of...
Homework Statement
A point charge Q is placed a distance 2R above the center of an imaginary spherical
surface of radius R. Estimate the electric flux through the sphere
Homework Equations
The Attempt at a Solution
I think the answer is 0 as Gauss law states that the net...
Homework Statement
Homework Equations
E * A
The Attempt at a Solution
I need to find the electric flux through each face. I am a bit confused. I believe the flux through sides 3 and 1 are zero because those sides are parallel to the electric field. The whole flux through the cube should be...
Homework Statement
A flate surface with area 0.14m^2 lies in x-y plane in a uniform electric field given by E=5.1i+2.1j+3.5k kN/c
find the flux through this surface
Homework Equations
I know that flux= EA which E and A are given so I multiply The area with the victor E but I got a...
Homework Statement
An object with a charge of 0.920 C is placed at the center of a regular tetrahedron with 4 equivalent surfaces. What is the electric flux through one surface of the tetrahedron?
Homework Equations
For an n-sided polygon
Electric Flux = Charge / (n)(Eo)
The...
Homework Statement
A long solid nonconducting cylinder has radius r = 0.65 meters. It has a uniform charge density of 3.7 C/m3. Consider a cylinderical container concentric with the charged cylinder, with radius R = 1.5 m, and length L = 2 m.
Calculate the flux through the barrel of the...
Homework Statement
A empty cardboard box is placed in an electric field pointing upwards with a strength of 1100 N/C as shown above. The bottom of the box is tilted up by an angle Θ = 19° from the horizontal. Side A of the box faces out of the page and is 10 cm high and 14 cm long. Sides B and...
I am studying electric flux through both a disk, cube, and sphere. I understand how the flux is calculated in a disk, but I don't understand how the flux through a cube with the point charge outside the cube is equal to zero when the disk is not. Is this because the disk is 2-D?
Thank you for...
Homework Statement
A 2.6-uC charge is at the center of a cube 7.5cm on each side. What is the electric flux through one face of the cube?
q_enclosed = 2.6*10^-6 C
a = .075m
Homework Equations
flux = E*A = integral(E*dA*cos(theta)) = E*integral(dA)
flux = q/(e_0)
surface area of a...
Homework Statement
A pyramid with horizontal square base, 6.00 m on each side, and a hieght of 4.00 m is placed in a vertical electric field of 52.0 N/C. Calculate the total electric flux through the pyramid's four slanted surfaces.
Homework Equations
Phi = E*A*cos(theta)
The...
OK so I took my multivariable calculus class last year and at that time, when we learned about flux I understood it as the sum of the outward facing components of every vector generated by a vector field at every point on a surface. F dot N integrated over the surface area of the surface. I...
Homework Statement
Cylin. surfaces \rho = 1 , 2 , 3, cm have uniform surface charge density of 20, -8, 5 nC/m^2.
What is the total electric flux that passes through the closed surface rho = 4 cm and z(from 0 to 1 m)?
And what is \vec{D} at the point \rho= 4 cm , \phi= 0 , z = .5 cm...
A charge of 12 x 10^-6 C is at the geometric center of a cube. Find the Electric Flux through one of the faces?
My class would have rather left early on friday than go over this example so now I have no clue how to find this.
Sorry, what I posted earlier was wrong.. here is the question:
an charge Q is at the origin. Find the electric flux an infinite plane at z distance from z axis.
Please check my attempts to the solution. Please check what's wrong in it because until now I am not getting the correct answer...
Homework Statement
A point charge 60 microcoulomb is located in the origin. An infinite plane located at z=5. What is the electric flux in the plane due to the charge?
Q=60x10^-6 C at 0,0,0 (origin)
z=5 (plane)
Here, I consider the electric flux emanating from Q that passes through...
Help. I am confused. I have read two different infos in different textbooks. I have read the topic about electric flux in different books. The first book says that electric flux is simply the Q (charge)in an enclosed surface, on the other hand, the other book says that electric flux is the...
I have a doubt about electric flux.
It is said to be the no. of field lines passing through a given area.
But then we integrate it as:
\int\vec{E}.\vec{ds}=\Phi
However, bein the number of field lines does it not have to be an integer?
http://img508.imageshack.us/img508/7047/problemhi1.jpg
Now I have gone about solving this problem by drawing a sphere with Q centred in it, let's call this sphere A1, now this circle defined by r=5 (lets call this circle C) cuts this sphere perfectly creating a spherical surface let's call...
Hi, I'm having a bit of trouble with the following problem. Any insight as to what I'm doing wrong?
Homework Statement
A solid metal sphere with radius 0.900 m carries a net charge of 0.130 nC. Find the magnitude of the electric field at at a point inside the sphere, 0.100 m below the...
A point charge q_1 = 3.40 {\rm nC} is located on the x-axis at x = 1.80 {\rm m}, and a second point charge q_2 = -5.80 {\rm nC} is on the y-axis at y = 1.10 {\rm m}
What is the total electric flux due to these two point charges through a spherical surface centered at the origin and with...
Homework Statement
Find the total electric flux through the closed surface defined by p = 0.26, z = \pm 0.26 due to a point charge of 60\mu C located at the origin.
Note that in this question, p is defined to be what r is defined conventionally, and \phi takes the place of \theta. This is...
Homework Statement
A 1.3microC point charge is placed at the center of a cube with a volume of 9.8m^3. Calculate the electric flux through one side of the cube.
Homework Equations
E = \frac{k*q}{r^2}
\Phi = E*A
The Attempt at a Solution
So what i was trying was this...
A point charge Q = 5.00 µC is located at the center of a cube of side L= 0.120 m. In addition, six other identical point charges having q = -0.50 µC are positioned symmetrically around Q, as shown in Figure P24.19. Determine the electric flux through one face of the cube.
You have a uniform electric field described by the vector (4 i + 2 j + 13 k)N/C and a flat surface describe by the vector (5 i + 9 j - 2 k)m2. What is the electric flux through this surface?
Homework Statement
Q] A charge 'Q' is kept over a non-conducting square plate of side 'l' at a height l/2 over the center of the plate. Find the electric flux through the square plate surface. Neglect any induction that may occur.
Homework Equations
\phi = \int \overrightarrow{E}\cdot...
If I were to take an enclosed object, like a rock, container, etc... and put it within an electric field any distance away from the source charge (so long as the source charge isn't inside the object)...would the net electric flux always be zero?
A cube of side L=2.0 m is centered at the origin, with the coordinate axes perpendicular to its faces. Find the flux of the electric field \overrightarrow E = \left( {15{\rm{ N/C}}} \right){\rm{\hat i + }}\left( {{\rm{27 N/C}}} \right){\rm{\hat j + }}\left( {{\rm{39 N/C}}} \right){\rm{\hat k}}...
Homework Statement
A 3 nC point charge is at the center of 5 m x 5 m x 5 m cube. What is the electric flux through the top surface of the cube?
Homework Equations
E=kq/r^2
φ = E.A
The Attempt at a Solution
E = (8.99*109)(3*10-9) / 2.52 = 4.3152 N/C
φ = E.A = (4.3152)(5*5) =...
Homework Statement
What is the net electric flux through the the torus if a=-6 nC and b=60 nC ?
Homework Equations
Electric flux=Qin/E
The Attempt at a Solution
I solved with Qin being 6*10^-9 C as it is the charge inside and E0=8.85*10^-12. I got 678 for electric flux. But it...
[SOLVED] Electric flux help needed
1. A Uniform electric field of magniture 6.00x10^3 N/C points upward. An empty closed shoe box has a top and bottom that are .35m by .25m, vertical ends that are .25m by .20m, and vertical sides that are .20m by .35m. Calculate the electric flux through each...
Hey there! :)
Homework Statement
A uniform line charge with linear charge density = 6nC/m is situated coincident with the x-axis. Find the electric flux per unit length of line passing through a plane strip extending in the x direction with edges at y=1, z=0, and y=1, z=5.
The final answer...
Homework Statement
A point charge q_{1} = 4.15 \times 10^-6 is located on the x-axis at x = 1.80 m, and a second point charge q_{2} = -5.80 \times 10^-6 C is on the y-axis at y = 1.10 m. What is the total electric flux due to these two point charges through a spherical surface centered at...
Homework Statement
I have a cube with four faces parallel to the field and two perpendicular.
The field is non uniform, given by E = 3 + 2x^2 in the +x direction.
The Attempt at a Solution
So I get \phi = \int \vec{E} \cdot d\vec{A} = \int EdA = A \int E = A \int (3+2x^2)
But how do I...
Homework Statement
Can some one explain Electric flux to me. I know it is suppose to measure the flow electricity but why is flux indepenent of area size?
Homework Statement
"What is the flux through the hemispherical open surface of radius R? The uniform field has magnitude E. Hint: Don't use a messy integral!"
\mid \vec{E} \mid= E
radius = R
Homework Equations
Electric Flux over a surface (in general)
\Phi = \int \vec{E} \cdot \,dA...
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 1.2 m², while surface 2 has an area of 3.5 m². The electric field E in the drawing is uniform and has a magnitude of 246 N/C.
Image...