this question, Figure 2 (see image). Consider the electric field of a disk of radius R and surface charge density σ along the z-axis as: (see image) a) Use this expression to find the electric field of the disk very close to the disk i.e. Z << R such that the disk looks like an infinite plane with surface charge density σ.  b) Use a Gaussian cylinder (pill box) to find the electric field of the plate at this limit (Z << R such that the disk looks like an infinite plane), and compare it with your answer from part a.

Q: Only need to do part b) and c) For part a I found the electric field to be: E = -z(phi)/2*pi*e_0…

A: Required to find the electric field.

Q: Consider two concentric insulating cylinders of infinite length. The inner cylinder is solid with…

A: Consider a Gaussian surface as a cylinder that have a radius of r, and the length l. Draw the…

Q: 2.A continuous line charge distribution with uniform line charge density of +5nc horizontal axis.…

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

A: Given data:  Radius of the spherical shell = R Positive charge Q Placed on the spherical shell…

Q: 4. Consider the same system as in problem 3 above, except that now take the charge density to be…

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Q: a) A very long non-conducting cylinder has an inner cylinder with radius R1 and uniform charge…

A: Given: The charge density of the inner cylinder of radius R1 is ρ1 The charge density of the outer…

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: D3.2. Calculate D in rectangular coordinates at point P(2, –3, 6) produced by: (a) a point charge Q4…

A: Given: The point where the electric displacement current D is to calculate is  P (2, -3, 6) The…

Q: A positively charged sphere carries a uniform volume charge density p. Its center sits at the origin…

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Q: ) An electric charge q is placed at the origin in 3-space. The resulting electric r field E is given…

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Q: A point charge q is located at the origin. Consider the electric field flux through a circle a…

A: (a) The proportionality constant is A = 0.066987.(b) The proportionality constant is A =…

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

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

Q: A solid insulating plastic sphere of radius a carries a total net positive charge 3Q uniformly…

A:

Q: The figure below shows a very thin, very long, straight rod with a uniform charge per unit length of…

A: Given data, A uniform charge per unit length is λ The perpendicular distance between the wire and…

Q: Question -2 shape. Positive charge q is put on this spherical conductor. Draw the figure What is the…

A: (a) As the body is a solid conductor, the charge resides on its surface. The electric field inside…

Q: The figure below shows a section of a very thin, very long, straight rod with a uniform charge per…

A: A uniform charge per unit length is The perpendicular distance between the wire and the center of…

Q: The figure above shows a closed Gaussian surface in the shape of a cube of edge length d. It lies in…

A: The differential form of Gauss law can be given as, Here ρenc is the charge density and E is the…

Q: A thin, circular plate of radius B, uniform surface charge density a, and total charge Q, is…

A: Given:  Radius of charged circular plate = BUniform charge density of the plate = σCharge on the…

Q: Find the electric field at a distance L directly above an infinitely large plane carrying uniform…

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Q: Consider an uniform electric field E (4.58x10^0) and a cubic box with side %3D (4.8200x10^1)-cm,…

A:

Q: Consider the three-dimensional conductor in the figure, that has a hole in the center. The conductor…

A:

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: A solid sphere of radius R, has a non-homogeneous volumetric charge distribution proportional to the…

A: The physical field that surrounds electrically charged particles and exerts a force on every other…

Q: For a flux of D = ar, where Om < r < 6m, for the sphere. Find the following:find the following: a.…

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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: Electric charge resides on a spherical surface of radius a centred at the origin, with charge…

A:

Q: Consider two identical circular rings of radius a, charged with linear and positive charge density…

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Q: Two concentric spherical shells with radius “R1” and “R2” , charge quantity “Q1” and “Q2”…

A:

Q: A cube with sides L is located in such a way that one of its vertices coincides with the origin of…

A: Given that, The electric field is E→=Exxx^+Eyyy^ And the side of the cube is L So the area of each…

Q: You are calculating the electric field in all space given the above charged situation. There is a…

A: The charge at the centre of thin spherical shell q1=4.9mC=4.9×10−3CThe areal charge density of the…

Q: 3. Consider a hollow conducting spherical shell with inner radius a and outer radius b. The…

A: Given, The spherical shell is hollow and a conducting one. The inner radius is a and the outer…

Q: We have chosen a potato-like Gaussian surface to evaluate Y12Q8 the electric flux emitted from an…

A: Given a potato-shaped Gaussian surface. Charges are inside the volume 'V' bounded by the surface S.…

Q: A line of charge extends from x- -a to r - 0. The rod has a uniform linear charge density A. Our…

A: A line charge extends from x=-a to x=0 ;  Linear charge density=λ

Q: Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as…

A: Given data: length of each side of the cube is L The electric field along the x-axis is E→

Q: Gauss’s Law With Planar Symmetry An infinite plane carries a uniform surface charge density σ. Find…

A: Gauss's law states that the total electric flux through a closed surface is given by the total…

Q: A circular ring of radius R is uniformly charged with a charge q for half of its length and -q for…

A: Given: The radius of the circular ring is R. The charge for half-length is q. The charge for the…

Q: Let F(x, y, z) = (ev+z – 2y)i + (xer+z + y)j+ e*+yk. (a) Find the curl of F. (b) Evaluate curl F·…

A:

Q: Use Gauss's Law in to solve problems 1 to 3, showing and justifying your steps and using related…

A: Solution: Gauss law state that the electric flux through any closed surface is equal to 1ε0 times…

Q: A spherical ball that has radius R has a volume charge density p as shown below. Figure 2 Determine…

A: Density: Radius of sphere = R Density of charge (ρ) = ax.

Q: Consider a spherical capacitor that is connected with a battery (not shown in the figure) consists…

A: a Draw the diagram as below. The potential for the solid spherical conductor is, V1=kQ1a Here, k is…

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.