What is the force on a point charge q near a conducting corner (2-dimensions, figure at right)? b) Simplify for the special case of x=y. og Conductor
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- Гр Figure. The inner cylinder carries a uniformly distributed charge +Q on its surface, and (LOS) Q4. Two concentric cylindrical conducting shells, of radius Fa and rb as shown in the outer shell an equal but opposite charge-Q. Determine the capacitance. +Q ľaWrite down the electrostatic force equation and define each letter and symbol in it. Then compute the force between two charged objects of X and Y coulombs respectively if they are at a distance from one another of Z meters. Show your calculations.Electric Fields 1. A wire has been given a net positive electric charge Q evenly distributed along its length. The wire has a length of L and is located on the x-axis with its left end at the origin as drawn. Set up the integral you need to do to find the electric field at a distance d to the left of the origin. Some steps you may wish to follow are: a. Figure out the direction the electric field will have at our location x = -d. This will be the same as f b. Write the differential charge dą in terms of the charge per length and a differential length. c. ris a function of x which means we have to integrate to find the electric field. Write down r. d. Put everything together (including the vector direction) into one integral that would allow you to find the E-field. Write this in the box below. e. You are not required to complete the integral and no credit is given for completing the integral. d dE =
- L/2+ L/2 Note: Figure not drawn to scale. 1. A very long, thin, nonconducting cylinder of length L is centered on the y-axis, as shown above. The cylinder has a uniform linear charge density +2.. oint. is located on the y-axis at y = c, where L >> ¢. a) Kecling.c Abh ri gle Circle GEOMETRY AND TRIGONOMETRY i. On the figure shown below, draw an arrow to indicate the direction of the electric field at point F due to the long cylinder. The arrow should start on and point away from the dot. ii. escribe the shape and location of a Gaussian surface that can be used to determine the electric field at point P due to the long cylinder. iii. Use your Gaussian surface to derive an expression for the magnitude of the electric field at point P. E press your answer in terms of 2, c, L, and physical constants, as appropriate. A==bh A = r² C = 277 =r8 Rectangular Solid Vi h Cy.inder Sphere V = r²t Sm V=² S-427² sine Rig Triangle 2+6²=c² cos@= tan= +2 BIL a b C 2x. Q b ADVANCED PLACEMENT PHYSICS C…refer to graph to anwer what charge distribution would produce...Insulator Conductor 9. A solid, insulating sphere of radius a shown in figure has a total charge -2Q . Concentric with this sphere is a conducting hollow sphere with a total charge 3Q whose inner and outer radii are b and c, as shown in Figure. a) Using Gauss Law find the magnitude of electrical field in the region r>c. The Gaussian surfaces used should be shown on the figure. The steps followed while applying Gauss's law should be written in detail. b) Write the magnitude of the electric field in the region b