Homework Use the Gaussian theorem to calculate the total charge inside a cube of side length 2m with one of its angles at the origin and its sides parallel to the orthogonal axes, x, y, z knowing that the electric field vector is given by the following relation ship: E = 1 2 ax Where a is a constant. Use Kaos' law fırst : E ds Then he used the following Kaos theorem: E-ds %3D

Homework Use the Gaussian theorem to calculate the total charge inside a cube of side length 2m with one of its angles at the origin and its sides parallel to the orthogonal axes, x, y, z knowing that the electric field vector is given by the following relation ship: E = 1 2 ax Where a is a constant. Use Kaos' law fırst : E ds Then he used the following Kaos theorem: E-ds %3D

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

a line of
Question 4 What is the electric flux density (in µC/m2) at a point (6, 4, - 5) caused by a uniform surface charge density of 60 µC/m2 at a plane x = 8? -30ax 30ay -30ay 30ax O O
Find the electric field everywhere of an infinite uniform line charge with total charge Q. Sol. Using Gauss's Law: DE - dÀ = EA = Since, its the line charge we use the area of a cylinder surrounding the line charge E*2T L= But all the charged get enclosed by the cylinder area, so denc = Q Deriving, we get: E= (1/2 TE0 )*( IrL)
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m/C². Vacuum permitivity, eo = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, Ho m. = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . 12.566370614356 × 10-7 H/m. Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, A solid spherical conductor, with a spherical cavity at the center, carries some charge q = 59 µC. And inside the cavity we put some charge q' = 26 µC. The radii are r, = 3 cm and r, = 12 cm a) What is the surface charge density of the solid conductor? charge density of the outer surface Give your answer up to at least three significance digits. C/m? charge density of the inner surface Give your answer up to at least three significance digits. C/m?
A spherical charge distribution of radius R is given by ρ = ρ0(1 – r/R), where r is the radial distance and ρ is the volume charge density. The electric field E is maximum at r equals: Zero 2.0R R/3 2R/3 0.745R Clear my choice
2R The center of the charged eircle of radius R = 30cm in the x-z plane is coincident with the origin of the coordinate system in the figure. The total charge Qon the circle is not uniform, but is distributed according to the relation A=v50 Where 0 is the angle between the radius R of the cirele and the +x-axisin radian. Find the magnitude of the Electric field due to these charges in they-axis direction only, at the point P at a distance of 2R. k, 9x 10 () and n 3 () b» - C) ) () () () 10 10 a) 10 1013 105 ) e 75 ini nören
A point charge in an electric field has a coordinate of (2, -3, -1). Determine its location in cylindrical and spherical coordinate systems.
Problem 3 Consider a ring and a disk parallel to each other with their central axes along a common line. The disk, located at the origin (point O), has a uniform charge density σ =-5 nC/m² and radius Rdisk 11 m. The ring, located at x=d, has a uniform charge Gring -1 nc and radius Ring -9 m. The magnitude of the total electric field at the center of the ring (point A) is E-157 N/C Disk Ring d Ө Find the charge of the disk disk B Find the linear charge density of the ring Aring" Find the distance between the ring and the disk d= The total electric field vector Etat at x = d is in the direction. The total electric field vector Etotal at x=d+2 is in the direction. Find the electric field magnitude at point B located 9 m from point A, due to the ring only Ering 7. Find the electric field magnitude at x = 15 m from the origin, due to the disk only Edisk
ric Fields due to Point Charges An uneven dipole is located along the x-axis and centered on the origin as drawn. Its positive end has twice as much 2a 1 charge as its negative end. Each charge is located a distance a away from the origin along the x-axis. In terms of k, q, and a, find the electric field vector only at а POINT 1 and POINT 2. Your answers should be simplified 2 numerically until they are in the form: E = (0.123, -2.345), for example. -2a +29 2a
Answer problem #8
Find the electric field everywhere of an infinite uniform line charge with total charge Q.
6) The hollow R radius cylindrical tube is infinitely long along the z-axis. The positive charges are evenly distributed over the surface of the tube, and the surface charge density σ. Find electric fields in both regions accordingly. A) r<R for D=0; r>R for D=arσR/r B) None. C) r<R for D=0; r>R for D=arσR/((\pi\)r) D) r<R for D=0; r>R for D=arπσR/r E) r<R for D=0; r>R for D=0 this is an electromagnetic wave lesson question.