Q: Consider a cube with edge length Limmersed in a uniform electric field E along the x-direction as…
A: Solution: The expression of electric flux is given by: ϕE=∫SE→.n^dS; where, E→ is the electric…
Q: Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as…
A: Let us assume a cube with an edge length L that is immersed in a uniform electric field E along its…
Q: A nonuniform electric field is given by the expression D = 2у a + z a — Зха y C/m?. Determine the…
A: We have Electric field given by D=2yi^+zj^-3xk^. We need to find Electric flux through a rectangular…
Q: A closed surface with dimensions a=b%3D0.40 m and c=0.60 m is located as in the figure below. The…
A:
Q: Consider a spherical insulator of radius 2R that has uniform charge distribution. Find the flux…
A: Change density of sphere,ρ=Charge Volume As per given data,ρ=8Q4π(2R)33
Q: An electric field given by = 5.5i - 2.3(y2 + 5.8)j pierces the Gaussian cube of edge length 0.210 m…
A: Electric flux is defined as a effective number of electric field lines passing through a given cross…
Q: Consider a cube with edge length Limmersed in a uniform electric field E along the x-direction as…
A:
Q: A Gaussian surface in the form of a hemisphere of radius R = 5.68 cm lies in a uniform electric…
A:
Q: Inside the region in the shape ( Rectangular box) there is no electric charge. The uniform electric…
A: The given electric field is, E→=4i^-6j^ The -6j part of the vector is not passing the box so it will…
Q: An electric field given by È = 4.5 i - 4.6(y² + 1.3)j pierces the Gaussian cube of edge length 0.130…
A: Given: Electric field: E→=4.5i^-4.6(y2+1.3)j^ Length of each cube side: l=0.13 [m] y=0.13 [m] Then,…
Q: The figure shows a Gaussian cube of face area A immersed in a uniform electric field of magnitude E…
A:
Q: d P
A:
Q: Consider a cubic surface C, a spherical surface S, and right cylindrical surface R. All of the…
A:
Q: A thin, circular plate of radius B, uniform surface charge density a, and total charge Q, is…
A:
Q: The figure shows a Gaussian surface in the shape of a cube with edge length 1.60 m. What are (a) the…
A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…
Q: If a Gaussian surface encloses a space that has no charge in it, the electric flux in that Gaussian…
A: In the given question, we have to discuss about Guassian Surface.
Q: calculate the flux of the vector field through the given surface. ~F = z ~k through a square of…
A: Abswer :-
Q: Consider the three-dimensional conductor in the figure, that has a hole in the center. The conductor…
A:
Q: Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as…
A:
Q: 1. Find the electric flux through the surface with sides of 15 cm X 15 cm shown in the figure below.…
A: The answers are below
Q: Calculate the absolute value of the electric flux for the following situations (In all case provide…
A:
Q: calculate the flux of the vector field through the given surface. ~F= (x2−2)~i through a square of…
A:
Q: Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as…
A: Consider a cube with edge length L immersed in a uniform electric field E along the x-direction. The…
Q: In Fig-1, there are two infinite planes A and B, parallel to the YZ plane. Their surface charge…
A: The electric field due to an infinite sheet of charge having a surface charge density σ…
Q: A Gaussian cube of length L has its bottom, left, rear corner at the origin of the coordinate system…
A: Given : electric field, E→=E1xLi^+E0j^ side of the cube, L Determine :- (4) flux through each face…
Q: the flux leaving a sphere of 3m radius centered at the origin due to a uniform line charge of 7 nC/m…
A: Radius of sphere R = 3 m Line charge density λ = 7 nC/m Flux along Z-axis Φ = ?
Q: Gaussian surface which has radius a=4 m from the center of sphere surrounding a
A:
Q: A square 10 cm long is in a region where there exists a uniform 2.0 kN/C electric field normal to…
A: Given data: Side of square (s) = 10 cm = 0.1 m Electric field (E) = 2.0 kN/C = 2000 N/C Angle…
Q: Show that the electric flux for a 5.00 m² rectangular plane in a 10.0 N/C electric field at an angle…
A: Let A denotes the rectangular plane’s area, E denotes the electric field, θ1 denotes the angle of…
Q: A thin straight infinitely long conducting wire having charge density X is enclosed by a cylindrical…
A: Given: Charge density =X Radius =r Length =l
Q: Calculate the electric flux through a trapezoid, with measurements of 4 cm at the smaller base, 7 cm…
A:
Q: The figure shows a sphere carrying a uniformly distributed volume charge Q. Three Gaussian surfaces…
A: The gaussian surfaces, which are concentric are shown in the figure.
Q: Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as…
A: Given data: Edge length = l Electric field =E
Q: Solve the following: a. Find the flux through a spherical Gaussian surface of radius a = 1 m…
A: a. Given data: radius a= 1 m charge q =8.85pC
Q: Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as…
A: flux through surace 1, Φ1=0flux through surace 2, Φ2=E→.S→=EL2cos0=EL2flux through surace 3,…
Q: Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as…
A:
Q: A cube of side L = 2.2 m lies in a region where the electric field is given by 3.G take → 3.6 en…
A:
Q: A uniform electric field measured over a square surface with side length d = 15.5 cm makes an angle…
A: Given: d = 15.5 cm angle θ = 67.0° Electric flux = 5.40 N m2/C
Q: The cube in the figure has edge length 1.87 m and is oriented as shown in a region of uniform…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: A closed surface with dimensions a=b%3D0.40 m and c=0.60 m is located as in the figure below. The…
A: Given : E=(3+57x2)i N/C a=b=0.40 m c=0.60 m We have to fins the net flux leaving the closed surface.
Q: Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as…
A: The electric flux of a uniform electric field through an area is defined as the scalar product of…
Q: Consider a uniform electric field E = 3 × 103 î N/C. (a) What is the flux of this field through a…
A: (a)The electric flux through the square can be given by
Q: Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as…
A: Given data: The edge of the cube is, L The uniform electric field is in the positive direction of…
Q: what is the magnitude.of the electric flux of a constant E of 4 n/c in the z direction through a…
A:
Q: A nonuniform electric field given by 3xî + 4ĵ pierces the Gaussian cube shown in Figure (E is in…
A: Given data: The electric field, E→=3xi⏜+4j⏜. Since the front face of the Gaussian cube is between…
Q: A vector field is given by F = y'e*i - x*yj - xtan-'yk use the divergence (Gauss") theorem, to…
A: Given:- F→ = y3ezi^ -x2y j^ -xtan-1y k^
Q: A closed surface with dimensions a=b%3D0.40 m and c=0.60 m is located as in the figure below. The…
A:
Q: Calculate the magnitude of the flux of a constant electric field of 5.00 N/C in the z-direction…
A:
Consider a uniform electric field of E = (a, b, 0) and an l x l square surface.
(a) What is the flux through the square if it sits in the yz-plane?
(b) What is the flux through the square if it sits in the xy-plane?
(c) What is the maximum flux through the square as it is rotated through all possible orientations?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
- calculate the flux of the vector field through the given surface. ~F= (x2−2)~i through a square of side length 3 in the yz-plane, oriented in the negative x-direction.A thin straight infinitely long conducting wire having charge density X is enclosed by a cylindrical surface of radius r and length l, its axis coinciding with the length of the wire. Find the expression for the electric flux through the surface of the cylinder.A point charge qq is at the point x=0,y=0,z=0.x=0,y=0,z=0. An imaginary hemispherical surface is made by starting with a spherical surface of radius RR centered on the point x=0,y=0,z=0x=0,y=0,z=0 and cutting off the half in the region z<0.z<0. The normal to this surface points out of the hemisphere, away from its center. Calculate the electric flux through the hemisphere if (a) q=8.00 nCq=8.00 nC and R=0.100 m;R=0.100 m; (b) q=−4.00 nCq=−4.00 nC and R=0.100 m;R=0.100 m; (c) q=−4.00 nCq=−4.00 nC and R=0.200 m;.
- The figure shows a sphere carrying a uniformly distributed volume charge Q. Three Gaussian surfaces are concentric with the sphere as shown. a)Which Gaussian surface(s) has the greatest electric flux though it? b)On which of Gaussian surface is the electric field the greatest?Consider a closed surface S fully enclosing the point charge Q. Which of the following is true about the net electric flux through S?A uniform electric field measured over a square surface with side length d = 15.5 cm makes an angle θ = 67.0° with a line normal to that surface, as shown in the figure below. There is a square horizontal surface with length and width d. The surface has a normal vertical axis at the center with a vector labeled vector E traveling from the center of the plane up and to the right. Vector E and the normal vertical axis form an angle labeled θ. If the net flux through the square is 5.40 N · m2/C, what is the magnitude Eof the electric field (in N/C)? N/C
- the flux leaving a sphere of 3m radius centered at the origin due to a uniform line charge of 7 nC/m along the Z axis is given byA uniform charge density of 500 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.What is the electric flux through this cubical surface if its edge length is (a) 4.00 cm and (b) 14.0 cm?Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as shown in the figure below. Calculate the electric flux through the closed surface. We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux: The flux through surface 1 is: . The flux through surface 2 is: . The flux through surface 3 is: . The flux through the surface on the xy plane is: . The flux through the surface on the xz plane is: . The flux through the surface on the yz plane is: . Taking the algebraic sum, the net electric flux through the cube is: .
- What is the electric field at any point outside the shell of radius R where a positive charge Q is placed on it? (Take r to be the radius of the Gaussian sphere)Consider two imaginary spherical surfaces surrounding a point charge +Q. One is a sphere of radius 10 cm and the other is a sphere of radius 20 cm. Which statement about the net flux through these surfaces is correct? correct? The net flux through the larger sphere is the same as the net flux through the smaller sphere. The net flux through the larger sphere is half the net flux through the smaller sphere. The net flux through the larger sphere is four times the net flux through the smaller sphere. The net flux through the larger sphere is one fourth the net flux through the smaller sphere. The net flux through the larger sphere is twice the net flux through the smaller sphere.The figure here shows a Gaussian cube of face area Aimmersed in a uniform electric field that has the positivedirection of the z axis. In terms of E and A, what is the fluxthrough (a) the front face (which is in the xy plane), (b) therear face, (c) the top face, and (d) the whole cube?