Gauss' Law Electric Field Inside a Cavity A sphere of radius 2m is made of a...
A sphere of radius a is made of a nonconducting material that has a uniform volume charge density p. A spherical cavity of radius b is removed from sphere which is a distance z from the center of the sphere. Assume that a > z + b. a) Find the magnitude and direction of the electric field at point y0 which is separated by distance yo from the center of the sphere. b) Find the magnitude and direction of the electric field...
9. Consider a non-conducting solid sphere of radius 2a and uniform charge density per unit volume Pv. 2a 2a (a) Detrmine the electric field everywhere (b) Plot the magnitude of the electric field (c) A spherical cavity of radius a is carved out from the sphere. Compute the electric field within the cavity
Using Gauss' Law, find the electric field due to 1) A positive point charge 2) A spherical shell with radius R and a uniform surface charge density (σ) 3) A solid sphere with radius R and a uniform volume charge density (ρ)
1. (3 points) An electron is initially at rest in a uniform electric field of 2.5 V/m. What will be the velocity of the electron 10 seconds later? 2. (3 points) Two spherical cavities a and b are hollowed out from the interior of a neutral conducting sphere of radius R 50 cm. The radii of cavities a and b are Ra 10 cm and R 20 cm. A point charge of a +30 uC is placed at the center...
. A cube of conducting material has a spherical cavity of radius R at its center a) (5 points) Calculate the electric field inside the cavity when a point charge q is placed at the center of the cavity. b) (5 points) Calculate the surface charge density induced on the surface of the cavity. c) (10 points) The point charge is now displaced a distance a < R from the center in the z direction. Calculate the electric field inside...
A spherical cavity of radius 7.00 cm is at the center of a metal sphere of radius 16.0 cm . A point charge 6.20 μCrests at the very center of the cavity, whereas the metal conductor carries no net charge. A. Determine the electric field at a point 5.50 cm from the center of the cavity. B.Determine the electric field at a point 10.0 cm from the center of the cavity. C.Determine the electric field at a point 55.0 cm...
P5. A sphere of radius 2a has a uniform volume charge density p. A spherical cavity of radius a is now removed from the sphere as shown. Show that the electric field within the cavity is uniform, has magnitude E-ρα/3e0, and is parallel to the common diameter of both spheres