3) A point charge of 3.0 pC is placed at the center of a dielectric sphere of radius 5.0 cm and dielectric constant 4.5 (uniform linear dielectric). Determine the polarization charge density o, at the surface of the sphere.
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- Q.8 The electric field magnitude is 840N/C from a 40 cm uniform line distribution of charge in x direction. Calculate the amount of charge in a 2 x 10-2 m section of the line.Two infinite planes of charge lie parallel to each other and to the yz plane. One is at x = -2 m and has a surface charge density of o= -4.7 µC/m². The other is at x = 4 m and has a surface charge density of o = = 4.3 µC/m². Find the electric field for the following locations. 1) x 4 m N/CÎ Submit You currently have 1 submissions for this question. Only 10 submission are allowed. You can make 9 more submissions for this question.The electric flux density of a charge distribution with spherical symmetry is given by (a³po -âr, r2 a 3r2 rpo D = r a C-
- A parallel plate capacitor with a charge of +/-177nC has square plates length L=20.0cm across on each side. The plates are separated by a distance d=10.0cm. A positive +4.0microC point charge is held in place halfway between each plate on the right-most edge of the capacitor. While solving this problem ignore any distortion of the capacitor's electric field along its edges. A) What is the magnitude and direction of the capacitor's electric field at point P, which is midway between the plates and on the left-most edge of the capacitor B) What is the magnitude and direction of the electric field due to the +4.0 microC point charge at point P. C) What is the magnitude and direction of the net electric field at point PAnother special case turns out to be of considerable interest. Let's see what the electric field is like near the center of a uniformly charged disk (x small, but not zero, for the reasons just given). Suppose that we are so close to the disk that x is very small (x > x). QIA Show that near the disk E- RConsider a spherical metal shell of inner radius ?. A point charge ? = −5 mC is located at a distance ?/2 from the centre of the shell. The shell is neutral. a) Calculate the induced charge on its outer surface. b) Sketch the charge distribution at the inner and the outer surfaces of the shell, and the E-field lines inside and outside the metal shell.
- Figure (a) shows a circular disk that is uniformly charged. The central z axis is perpendicular to the disk face, with the origin at the disk. Figure (b) gives the magnitude of the electric field along that axis in terms of the maximum magnitude Em at the disk surface. The z axis scale is set by zs = 24.0 cm. What is the radius of the disk?4. A cylindrical dielectric of permittivity &, radius R, and length h, is centered about the z-axis. Assume this Cylinder has a uniform electric polarization along its axis given by P = Poz. a) What are the polarization charge densities on its surfaces? b) What is the electric displacement vector D anywhere on its axis? c) What is the electric field vector E anywhere on its axis?