Consider the following vector field: v=ze What is the flux of this field fv. da over a circular area of radius R lying flat in the x-y plane and centered at the origin?
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Q: Calculate the flux of the vector field F(x, y, z) (5x + 8)i through a disk of radius 7 centered at…
A: Given that, Vector field, F→=5x+8i^Radius of disc, r=7 unitsDivergence of vector…
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- Problem 2.01. Three plates with surface charge density |o| = 8.85 μC/mm² are stacked on top of each other. The top and bottom plates have charge density to while the center plate has charge density -0. (a) Find the magnitude and direction of the electric field between the plates. (b) Find the magnitude and direction of the electric field above and below the plate stack.answer for (d) and (e) pleaseConsider the following situation. A positive charge q is located a distance R from a charged wire bent into a circular arc as drawn. The arc has radius R, a net positive charge Q, and an angular extent of 30° (T/6 radians) centered on the same axis as q. 15° a. Calculate the electric field (vector) the arc of wire produces at q's location. Give the vector in component form. The vector only has one component. You should write down in words an argument using the problem's symmetry for this. b. Find the net force (vector) on q by the arc of wire. Give the vector in component form. c. Compare this force to the force produced by a positive point charge Q located a distance R away from q. Which force is greater, (b) or (c), and by what fraction? Show this algebraically.
- Solve 4,5Kenny is a student in engineering physics, he wants to study about the infinite long cable that has an insulating cylinder with radius a with uniform charge volume density 2p surrounded by a uniform conducting material with outer radius of 2a and zero total charge, as he drawn in Figure Q1.1. 2a Figure Q1.1 a) Using Gauss's law, find the electric field inside the insulating cylinder. Draw a Gaussian surface and indicate your choice of a coordinate system. b) Find the inner and outer charge surface density of the conducting cylinder, oin and Tout. c) Determine the work required to move a charge qo from r₁ = 4a to rf = 1.57a where r is the distance from the cylindrical axis.Compute the flux of the vector field F = 2zk through S, the upper hemisphere of radius 5 centered at the origin, oriented outward. flux =