A particle with a charge of -3C sits at position (3, 4, 5)m. What is the x-component of the electric field at the origin (0, 0, 0)m? Your answer will be proportional to k = 8.99 x 10 9 (N x k). For simplicity in entering your answer, just provide N.
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A particle with a charge of -3C sits at position (3, 4, 5)m. What is the x-component of the electric field at the origin (0, 0, 0)m? Your answer will be proportional to k = 8.99 x 10 9 (N x k). For simplicity in entering your answer, just provide N.
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- The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?A positively charged disk of radius R = 0.0366 m and total charge 56.8 C lies in the xz plane, centered on the y axis (Fig. P24.35). Also centered on the y axis is a charged ring with the same radius as the disk and a total charge of 34.1 C. The ring is a distance d = 0.0050 m above the disk. Determine the electric field at the point P on the y axis, where P is y = 0.0100 m above the origin. FIGURE P24.35 Problems 35 and 36.Here’s one more model of an electron. Here e is the magnitude of the charge of an electron, and R is a constant parameter characterizing the electron’s size: rho=-e (105/4pi)r2(R-r)2/R7 , rho = 0 for r >R. a. Use the problem's symmetry to evaluate the electric field at all points in space, it r >R and r<R. b. Sketch the electric field magnitude versus r for all values of r. d. evaluate the electric potential at all points in space and sketch its magnitude as a function of r.
- Charge is distributed throughout a spherical volume of radius R with a density p = ar², where a is a constant (of unit C/m³, in case it matters). Determine the electric field due to the charge at points both inside and outside the sphere, following the next few steps outlined. Hint a. Determine the total amount of charge in the sphere. Hint for finding total charge Qencl = (Answer in terms of given quantities, a, R, and physical constants ke and/or Eg. Use underscore ("_") for subscripts, and spell out Greek letters.) b. What is the electric field outside the sphere? E(r> R) = c. What is the electric field inside the sphere? Hint for E within sphere #3 Question Help: Message instructor E(r < R) = Submit Question E с $ 4 R G Search or type URL % 5 T ^ MacBook Pro 6 Y & 7 U * 8 9 0 0A charge q = 5.4 µC is located at the origin of the coordinates. What is the electric field E = E,i + E,j at the point 'P' shown in the figure? As the answer in canvas, write the magnitude of the Electric Field. Given that x = 7 m, and y = 4 m. Write your answer in terms of N/C. µC = 10-6 C. Y P(x.y) XConsider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. What is the direction of the electric field at any point on the z axis? What is the magnitude of the electric field along the positive z axis? Use k in your answer, where k=1/4πϵ0.
- a. Problems 1-3 refer to the following diagram and situation. Three charges 9₁ 92 93 = +1.7 µC are placed on the corners of a equilateral triangle. The length of each side of the equilateral triangle is r = 0.15 m. Recall that μ = 1 x 10-6 and that each of the 3 angles in an equilateral triangle is 60°. 91 93 r r Problem 1: What is the net electric force on 91, due to q2 and 93? a. (1.0 N)ĵ b. (1.5 N)ĵ Problem 2: What is the net electric force on 92, due to 9₁ and 93? +(1.0N)î — (1.7N)Ĵ b. +(1.7N)î - (1.0N)ĵ r c. (2.0 N)Ĵ 92 Problem 3: What is the net electric force on 93, due to q₁ and 92? a. -(1.0N)î - (1.7N)ĵ b. -(1.7N)î - (1.0N)ĵ c. +(2.0N)î - (2.7N)Ĵ c. -(2.0N)î - (2.7N)ĵ d. (2.5 N)ĵ d. +(2.7N)î - (2.0N)Ĵ d. -(2.7N)î - (2.0N)ĵConsider eight charges at the corners of a cube with side length a, and its axes parallel to the Cartesian coordinate axes, and its center at the origin, (0,0,0). a. If all eight charges have a value of q, evaluate the electric field along the x-axis, and explain its behavior as x goes to infinity. b. If the four charges where z= a/2 are +q and the other four are -q , evaluate the electric field along the x axis, and explain its behavior as x goes to infinity. c. Now consider having four +q and four -q charges, with each charge having its nearest neighbor have the opposite sign. Sketch this, evaluate the electric field along the x axis, and explain its behavior as x goes to inifinity.A particle with a charge of -3C sits at position (3, 4, 5)m. What is the y-component of the electric field at the origin (0, 0, 0)m? Your answer will be proportional to k = 8.99 x 10 9 (N x k). For simplicity in entering your answer, just provide N.
- A ring of radius R has total charge Q. Part A At what distance along the z-axis is the electric field strength a maximum? Express your answer in terms of R. Submit ✓ √2 Part B E = Correct Previous Answers What is the electric field strength at this point? Express your answer in terms of the variables Q, R, and E. IVE ΑΣΦ Submit R k•Q• √√2 R² + R √√2 Previous Answers Request Answer ? X Incorrect; Try Again; 2 attempts remaining. The circular arc shown below carries a charge per unit length λ=λ0cosθ,λ=λ0cosθ, where θθ is measured from the x-axis. What is the electric field at the origin?The figure(Figure 1) shows a solid metal sphere at the center of a hollow metal sphere. Assume that E=1.6×10^4N/CE=1.6×10^4N/C. A - What is the total charge on the exterior of the inner sphere? Express your answer with the appropriate units. B - What is the total charge on the inside surface of the hollow sphere? Express your answer with the appropriate units. C - What is the total charge on the exterior surface of the hollow sphere? Express your answer with the appropriate units.