Figura A Figare B
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A: Equation 1 is, ∮E·dA=qencε0EA=qencε0
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Q: Consider the three-dimensional conductor in the figure, that has a hole in the center. The conductor…
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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: PRACTICE: Consider the setup shown in the figure below, where the arc is a semicircle with radius r.…
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Q: Find the electric field of a thin, circular ring of inner radius R1 and outer radius R2 at a…
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Q: The figure below represents the top view of a cubic gaussian surface in a uniform electric field E…
A: According to guideline we need to solve only first three sub part . The figure belov represents the…
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A: lets us first solve the question for general arc with assumed angle in the figures below:
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Q: A positively charged disk of radius R and total charge Qdisk lies in the xz plane, centered on the y…
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Q: The figure below represents the top view of a cubic gaussian surface in a uniform electric field E…
A: As per guidelines only 3 subparts are solved here.
Q: Consider a spherical surface of radius R centered on the origin and carrying a uni- form charge…
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Q: A thin, circular plate of radius B, uniform surface charge density ?, and total charge Q, is…
A: According to Gauss law, the flux linking through a closed loop is given as: ϕ=q∈0 Here, ∈0 is…
A ring with outer radius rb and inner radius ra (i.e. a disc with a hole, shown in Figure A) has auniform surface charge density σ. (a) Find the expression for electric field when rb≫x≫ra. Comment on your result. (b) Now consider a cylindrical shell of length lwith outer radiusrb and inner radius ra with totaluniform charge Q(see Figure B). Determine the electric field at a point a distance d from theright side of the cylinder.
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- Find the electric field a distance z from the center of a spherical surface of radius R (See attatched figure) that carries a uniform charge density σ . Treat the case z < R (inside) as well as z > R (outside). Express your answers in terms of the total charge q on the sphere. (Hint: Use the law of cosines to write r (script) in terms of R and θ . Be sure to take the positive square root: √(R2+z2−2Rz) = (R−z) if R > z, but it’s (z − R) if R < z.)A long non-conducting cylindrical wire of radius a stores a total charge Q₁ and is surrounded by a hollow, concentric conducting cylindrical shell or length L, inner radius b and outer radius c. The conducting cylindrical shell stores a total charge -30. See Figure. Using Gauss's law, write an equation for the electric field as a function of r (E(r)) inside the non-conducting cylinder (r< a). (When applying Gauss's Law, show derivation and the Gaussian surface, supporting your solution with geometrical reasoning.) Inner non-conducting b C + Outer conducting, solid cylinder of total charge -3QIn which situation's would angular acceleration be negative? Select all that apply 1. An object is at rest and is starting to rotate clockwise 2. An object is rotating clockwise and speeding up 3. An object is rotating clockwise and speeding up 4. An object is rotating counterclockwise and slowing down
- answer for (d) and (e) pleasecould you solve (d) only please?Calculate the electric field at height h above the center of a square plate of size 2a×2a with uniform surface charge density η (both direction and magnitude). Verify that in the limit of large a the result agrees with the field of an infinite uniformly charged plane.
- A cylinder of radius R has a charge density given by p = Po/r where po is a constant, for r R. Find the electric field both inside and outside the cylinder using Gauss' law. 1.We have calculated the electric field due to a uniformly charged disk of radius R, along its axis. Note that the final result does not contain the integration variable r: R. Q/A 2€0 Edisk (x² +R*)* Edisk perpendicular to the center of the disk Uniform Q over area A (A=RR²) Show that at a perpendicular distance R from the center of a uniformly negatively charged disk of CA and is directed toward the disk: Q/A radius R, the electric field is 0.3- 2€0 4.4.1bA Gaussian surface in the form of a hemisphere of radius r lies in a uniform electric field of magnitude E. The surface encloses no net charge. At the (flat) base of the surface, the field is perpendicular to the surface and directed into the surface. NOTE: Express your answers in terms of the given variables, using when needed. (a) What is the flux through the base of the surface? Φ (b) What is the flux through the curved portion of the surface? Φ =
- An infinitely long cylindrical conductor of a radius r is charged with a uniformly distributed electrical charge, if the charge per unit length of it equal A coulomb/m. ( using gauss law) calculate the electric field at point d. d.The figure below represents the top view of a cubic gausslan surface in a uniform electric field E oriented parallel to the top and bottom faces of the cube. The field makes an angle 8 with side 1, and the area of each face is A. (Use any variable or symbol stated above along with the following as necessary: E for the magnitude of the electric field.) E (a) In symbolic form, find the electric flux through face 1. PE ← (b) In symbolic form, find the electric flux through in 2. (c) In symbolic form, find the electric flux through face 3. (d) In symbolic form, find the electric flux through face 4. (e) In symbolic form, find the electric flux through the top and bottom faces of the cube. (ⓇE) top a. battom (f) What is the net electric flux through the cube? (8) How much charge is enclosed within the gaussian surface?The figure below represents the top view of a cubic gaussian surface in a uniform electric field E oriented parallel to the top and bottom faces of the cube. The field makes an angle with side 1, and the area of each face is A. (Use any variable or symbol stated above along with the following as necessary: E for the magnitude of the electric field.) (a) In symbolic form, find the electric flux through face 1. ΦΕ = (b) In symbolic form, find the electric flux through in 2. ΦΕ = (c) In symbolic form, find the electric flux through face 3. ΦΕ = (d) In symbolic form, find the electric flux through face 4. ΦΕ (e) In symbolic form, find the electric flux through the top and bottom faces of the cube. E E 1 = top bottom = = = (f) What is the net electric flux through the cube? ΦΕ (g) How much charge is enclosed within the gaussian surface? 9 in