what conditions must be true for you to be allowed to write the flux integral such that... §Ē • dà = E x (area) These conditions include which of the following? The electric field must be constant at all positions across a surface. The electric field vector must be parallel to the normal of the surface. (E || dÃ) The gaussian surface must always be a sphere. O The direction of the electric field vector must be perpendicular to the normal of the surface. (1 dÃ).

Q: An electric charge Q is distributed uniformly along a thick and enormously long conducting wire with…

A: The Gauss law inside a closed Gaussian surface is defined as:∮E→.da→=qencε0………(1)where,qenc is the…

Q: charge configuration in cylindrical coordinates is given by p = (C/m³) in the whole space se Gauss…

A: Given a charge distribution in a cylindrical coordinates :       ρ=-43e-3r Cm3

Q: Picture a closed surface in the shape of a cube near a charge, Q. Is the electric flux through the…

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Q: Problem An electric charge Q is distributed uniformly along a thick and enormously long conducting…

A: Gauss law states that the total electric flux out of a closed surface is equal to the charge…

Q: A square surface with sides of  2 m × 2m is located over the xy-plane, where a constant electric…

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Q: (d) Look carefully at your drawing above. In what direction does E point (inward? outward? tangent?)…

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Q: In the figure, a hollow hemisphere is in a uniform electric field of magnitude E = 3.0 kN/C. The…

A: Given data: Magnitude of the electric field (E) = 3.0 kN/C Radius of the circular rim (R) = 12 cm…

Q: Consider a closed triangular prism box with height = h and base = 2a resting within a uniform…

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Q: Consider a closed triangular prism box with height = h and base = 2a resting within a uniform…

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Q: Problem An electric charge Q is distributed uniformly along a thick and enormously long conducting…

A: Given: Electric charge distributed = E Radius of wire = R Length of wire = L

Q: ND THE FLUX THROUGH EACH SURFACE A closed surface with dimensions a = b = 0.400 m and c = 0.800 m is…

A: Let us consider a closed surface with dimensions as mentioned in question which are written below:-…

Q: Suppose that there is a flat disk with diameter (d) which is put in a uniform electric field of…

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Q: Compare the electric flux in a cubical surface of a side 10cm and spherical surface of radius 10 cm,…

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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: The figure below represents the top view of a cubic gaussian surface in a uniform electric field E…

A: It is given a top view of the cubic Gaussian surface in a uniform electric field E→ oriented…

Q: A closed surface with dimensions a=b=0.40 m and c=0.60 m is locate as in the figure below. The left…

A: The flux is equal to

Q: Which of the following is a correct interpretation of Gauss's Law? * In a closed Gaussian surface,…

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Q: An insulating sphere with radius a has uniform charge density p but is centred at b. a) Show the…

A: (a) Let b denotes the position vector of the center of the charged sphere, rp denotes the position…

Q: Problem An electric charge Q is distributed uniformly along a thick and enormously long conducting…

A: To determine: 3. Electric field of the wire. 4. Net electric flux.

Q: rts A and B pls 2. Inverted cone of charge (0,0,h) (R.0,0) P(0,0-h) (a) Consider an inverted cone…

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Q: A uniform electric field of magnitude E = 460 N/C makes an angle of ? = 65.5° with a plane surface…

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Q: Problem 2:   A closed hollow cylinder (i.e., with capped ends) is situated in an electric field…

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Q: Consider a solid conducting sphere with radius R, as shown in the image below. The electric field on…

A: Electric field on the surface of conductor  E = kq /r2

Q: Consider the following image. E R 2R a (a) Find the net electric flux through the closed spherical…

A: We know that electric flur ∅E=EA cos θa) As shown in figure a , all the field lines entering the…

Q: The following dictates the value of the electric flux passing through the surface except one. Which…

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Q: 1. Consider a long line of charge, with uniform positive charge per unit length A. persoective view…

A: Gauss's law∮E→.dA→=qenc∈0 For infinite line of charge qenc=lλ

Q: Consider two long, thin, concentric cylindrical shells. The smaller shell has a radius ‘a’ and…

A: (a)  Region 1: r<aconsider a gaussian cylinder  of radius r  and length l inside the inner…

Q: When solving for the electric field using Gauss' Law, there is this surface that we draw on the…

A: The flux of the eletric fieldthrough any closed also called  Gaussian surface in Gauss's law.

Q: A circular plane whose r=2.2m is placed in an electric field E=800N/C. The electric field makes an…

A: Answer:-  Answer (1)  Given  Electric field (E) = 800 N/C  Radius of a circular plane (r) = 2.2 m…

Q: What is the area of the square sheet if an electric flux of  is passing thru it, with an electric…

A: Ques: What is the area of the square sheet if an electric flux of  is passing thru it, with an…

Q: Gauss's law, what is the electric field at distance r perpendicular to the wire? (Consider the cases…

A: Suppose an electric field charge (Q) is distributed uniformly along a thick and enormously long…

Q: A non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the rod…

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Q: 1. The square surface shown in Figure given below measures 3.2 mm on each side. It is immersed in a…

A: The electric flux is given by  ϕ= E A cosθ where, E is the electric field, A is the area, θ is the…

Q: The colored regions in the figure below represent four three-dimensional Gaussian surfaces A through…

A: The electrostatic flux through a closed surface enclosing a charge Qenc is given…

Q: Consider the two concentric conducting spherical shells shown in the figure in shaded grey. The…

A: a) We know that here in question two concentric condi=ucting sphere shells are shown in the figure.…

Q: Q2) A rectangular prism of dimensions a=0.5 m, b= 0.1 m and c= 0.2 m is located as shown in Figure.…

A: Given: The dimensions of the rectangular prism are a=0.5 m, b=0.1 m, and c=0.2 m. The electric field…

Q: R P In the figure above a semi-infinite nonconducting rod (that is, infinite in one direction only)…

A: Assume infinitesimal section of length dx of the rod at a distance x from the left end contain…

Q: The figure bēlöw depicts the (a) State which of the charges 1,2 and 3 are positive or negative. (b)…

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Q: Q4: Electric Flux An electric field given by E = 4.0 i – 3.0 (y² + 2.0) j+0 k N/C pierces a Gaussian…

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Q: xxxxxX**** ***********XxX* A cylindrical Gaussian surface surrounds an infinite line of charge.…

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Q: 1. What is the electric field at any point outside the shell of radius R where a positive charge Q…

A: Electric field intensity at a point in an electric field is the force on a unit positive charge…

Q: Consider the following situation. A positive charge q is located a distance R from a charged wire…

A: Given:- A positive charge q is located at a distance R from a charged wire bent into a circular arc…

Q: What is the net electric flux through the cylinder (a) shown in (Figure 1)?   What is the net…

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Q: Discuss the possibility of choosing Gaussian surface other than the sphere. For instance what if you…

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Q: Problem 1. Electric Flux. Consider the charge distribution shown in the figure on the right. The…

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Q: How is electric flux related to the electric field E? How is the total electric flux over a closed…

A: Electric flux is the integral of Electric field over an area .In other words, Electric flux is the…

Q: Q2. (a) Explain the meanings of uniform and non uniform electric flux through a closed surface. (b)…

A: (a) An electric field is said to be uniform if the direction and magnitude of the point charge are…

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.