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- I need answer typing clear no chatgpt used i will give 5 upvotesAn infinitely thin ring has an inner radius "a" and an outer radius "b" is placed on xy-planeas shown below. If the surface charge density on the ring isp0, find the electric field intensityat a point on the z-axis.This problem references the second type of application of Gauss’s law, locating charges on conductors.We may still be working on this a bit on Monday, and if so, either put this one off until then or viewthe video I posted on the topic.Two spherical, hollow conductors are concentrically nested as shown in the cross-sectional diagrambelow and electrically isolated from each other. A net charge of -3 nC is divided between theconductors, with a total of -12 nC on the inner conductor and +9 nC on the outer one. The charges are, of course, free to move between the surfaces within each shell but cannot move from one shell tothe other. The inner conductor has an inner radius of a=2 cm, outer radius of b=3 cm. The outerconductor has an inner radius of c=6 cm, an outer radius of d=8 cm.
- O Flux and nonconducting shells. A charged particle is sus pended at the center of two concentric spherical shells that ar very thin and made of nonconducting material. Figure 23-37 shows a cross section. Figure 23-37b gives the net flux through Gaussian sphere centered on the particle, as a function of the ra dius r of the sphere. The scale of the vertical axis is set by d,- 5.0 x 10° N- m/C. (a) What is the charge of the central particle What are the net charges of (b) shell A and (c) shell B? 14 (a) (b) D(10° N m/C)Use Gauss's Law for the following: A conductor with cavities is shown in cross-section along with some pointcharges in the hollow spaces inside. The net charge on the conductor itself, qcond, is givenbelow each figure. Determine the amount of charge on the surface, inside and out, andsketch the charge distribution on the surface. (See picture)A thin spherical shell of radius R carries a total charge Q. We define theorigin of our coordinate system to be in the center of the sphere enclosedby this shell.(a) Calculate the electric field due to the spherical shell just outside theshell in two ways: 1) by Gauss’s law and 2) by applying our knowledgeon the boundary conditions of electric fields. Do the two methodsagree?
- Charge is distributed uniformly with a density ρ throughout an infinitely long cylindrical volume ofradius R. Show that the field of this charge distribution is directed radially with respect to the cylinder.(a)find the net force that the southern hemisphere of a uniformly charged solid sphere exert on the northern hemisphere.express your answer in terms of the radius rand and total charge Q.Problem An insulating sphere with radius R contains a total non-uniform charge (i.e. Hydrogen atom) Q such that its volume charge density is 38 312 where Bis a constant and ris the distance from the center of the sphere. What is electric field at any point inside the sphere? Solution To find the electric field inside the non-uniformly charged sphere, we may apply integration method or the Gauss's Law method. Here, let us use the Gauss's law which is expressed as We will choose a symmetric Gaussian surface, which is the surface of a sphere, then evaluate the dot product to obcain (Equation 1) The issue however is how much charge does the Gaussian surface encoses? Since, our sphere is an insulating material. charges will get distributed non-uniformly within the volume of the object. So, we look into the definition of volume charge density to find the enclosed charge. So, we have dq p= dv Based on the given problem, we can also say that dgenc p= 38 dV