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- Consider the following electrostatic problem. A perfectly conductive spherical conductor of radius a=5cm is covered by a dielectric layer extending to a radius of b%3D8cm in free space. Relative electrical permittivity of the dielectric iS E 4, and Electric Flux Density expression in the medium is given as (D = 0.05r-u,: Cim, for ra), where r is radial distance from the center of sphere. a) What is the total charge on the conductor surface? b) Determine Electric field intensity for each region (rSpace vehicles traveling through Earth's radiation belts can intercept a significant number of electrons. The resulting charge buildup can damage electronic components and disrupt operations. Suppose a spherical metallic satellite 1.5 m in diameter accumulates 2.1μC of charge in one orbital revolution. (a) Find the resulting surface charge density. (b) Calculate the magnitude of the electric field just outside the surface of the satellite, due to the surface charge. ( Please answer this with in 30 mins to get a thumbs up .Show neat and clean work . Thank you ! )By using Gauss's Law, show that the electric field in the space between the two conductors of a coaxial cable is given by: E(r) τρι 2πει where "-p" is the linear line charge density (Coulombs / meter) defined for the inner conductor.Find the ratio of q/Q for the E-field to be zero at adistance of z = 3.52R for the charge distributionand geometry of problem #30 of the text. a isthe charge on the LARGER ring. Q is the chargeon the SMALLER ring.A charge of 7.60 pC is spread uniformly throughout the volume of a sphere of radiusr= 4.15 cm. What is the magnitude of the %3D electric field at a radial distance of (a)6.29 cm and (b)3.23 cm?Uniform line charge density of Enc/m at y=0,2 =2m in Free space while -6nc/m is located y=0, x==2 at Auniform Surface charge density 0.3 nc/m² is at y=0.2 and d+ y = -012 find E at origin.The electric field E in a particular region of empty space is expressed in Cartesian coordinates (x, y.2) as perive an expression for the charge density p in this region, and hence determine plend (in units of m) at the point with coordinates x-1.0 m, y-2.0 m, z-3.0 m. Enter your answer as a decimal number in the box below: m.What is the scalar electric field strength 12 mm away perpendicularly from the center of a ring of charge with 15mm radius and has a total charge of +750 uC. note: Answer in GN/C and 3 decimal placesaneli 王+ ++ ++d m A flat slab of nonconducting material has thickness 2d, which is small compared to Lar its height and breadth. As shown in the figure, the x axis is defined to be along the drection of the slab's thickness with the origin at the center of the slab. This slab region the charge density p(x) = -Po in carries volume a -dsx<0 and p(x) = +P, in the region 0Problem 1: A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A and B are 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to be moved from A to B, determine the following: What isThe work done in moving the test charge;Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities 01, 02, 03 and 04 on their surfaces, as shown in the following figure.These surface charge densities have the values o1 = -5.30 µC/m2, o2-5.00µC/m2, o3 = 2.90 µC/m2, and 04-4.00μC/m2. Use Gauss's law to find the magnitude and direction of the electric field at the following points, far from the edges of these sheets. Part A: What is the magnitude of the electric field at point A, 5.00 cm from the left face of the left-hand sheet? Express your answer to three significant figures and include the appropriate units.. Within a region of free space, charge density is given as py = (5rcose)/a C/m3, where a is a constant. Find the otal charge lying within the region, 0SEE MORE QUESTIONSRecommended textbooks for youCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University PressPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. 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