Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed inside the sphere. Where should the charge be located to maximize the magnitude of the flux of the electric field through the Gaussian surface? (A at x = 0, y = R/2, z = 0 B The flux does not depend on the position of the charge as long as it is inside the sphere at x = R/2, y = 0, z = 0 D at x = 0, y = 0, z = R/2

Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed inside the sphere. Where should the charge be located to maximize the magnitude of the flux of the electric field through the Gaussian surface? (A at x = 0, y = R/2, z = 0 B The flux does not depend on the position of the charge as long as it is inside the sphere at x = R/2, y = 0, z = 0 D at x = 0, y = 0, z = R/2

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...

See similar textbooks

Similar questions

A particle with charge Q is located a small distance immediately above the center of the flat face of a hemisphere of radius R as shown in Figure P19.38. What is the electric flux (a) through the curved surface and (b) through the flat face as 0?
The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?
A uniformly charged, straight filament 8.00 m in length has a total positive charge of 2.00 µC. An uncharged cardboard cylinder 4.70 cm in length and 10.0 cm in radius surrounds the filament at its center, with the filament as the axis of the cylinder. (a) Using reasonable approximations, find the electric field at the surface of the cylinder. magnitude: ____________ kN/C direction: radially outward or radially inward? (b) Using reasonable approximations, find the total electric flux through the cylinder.
Calculate the absolute value of the electric flux for the following situations (In all case provide your answer in N m2/C): c. A uniform electric field E = (−350 i + 350 j + 350 k) N/C through a disk of radius 3 cm in the x-z plane.
A with radius a and height 2h as in the Figure.There is a point charge q at the center of the cylinder.The electric flux passing through the lateral surface of the cylinder Show that it is given by ((21/2)/2)*(q/ε0)
Consider a uniform electric field of E = (a, b, 0) and an l x l square surface.(a) What is the flux through the square if it sits in the yz-plane?(b) What is the flux through the square if it sits in the xy-plane?(c) What is the maximum flux through the square as it is rotated through all possible orientations?
A Gaussian surface in the form of a hemisphere of radius R = 5.84 cm lies in a uniform electric field of magnitude E = 2.20 N/C. The surface encloses no net charge. At the (flat) base of the surface, the field is perpendicular to the surface and directed into the surface. (a) What is the flux through the base? ______________N · m2/C(b) What is the flux through the curved portion of the surface? _______________N · m2/C
A uniform electric field measured over a square surface with side length d = 15.5 cm makes an angle θ = 67.0° with a line normal to that surface, as shown in the figure below. There is a square horizontal surface with length and width d. The surface has a normal vertical axis at the center with a vector labeled vector E traveling from the center of the plane up and to the right. Vector E and the normal vertical axis form an angle labeled θ. If the net flux through the square is 5.40 N · m2/C, what is the magnitude Eof the electric field (in N/C)? N/C
Consider a hollow spherical conductive shell of radius (R) 0.2 m with a fixed charge of +2.0 x 10-6 C uniformly distributed on its surface. a. What if the sphere is a solid conductive sphere? What is the electric field at all points inside the sphere? Express your answer as function of the distance r from the center of the sphere. b. What is the electric field at all points outside the sphere? Express your answer as a function of the distance r from the center of the sphere
A) A point charge qq is at the point x = 0, y = 0, z = 0. An imaginary hemispherical surface is made by starting with a spherical surface of radius R centered on the point x = 0, y = 0, z = 0 and cutting off the half in the region z<0. The normal to this surface points out of the hemisphere, away from its center. Calculate the electric flux through the hemisphere if q = 2.00 nC and R = 0.100 m. B) if q = -3.00 nC and R = 0.100 m. C) if q= -3.00 nC and R = 0.200 m.
A charge of + 8 uC is evenly distributed over the volume of an insulating sphere of 6 cm radius. Gauss using the law of charge distribution center a) r = 4 cm and b) electric field at r = 8 cm distances find? c) Find the electric flux through a Gaussian surface given at r = 8 cm? NOTE: Englısh not my tongue language so sometimes i cant reading handwriting can u use computer ? thanks
A uniform surface charge density of 8.2 nC/m2 is distributed over the entire xy plane. What is the flux through a spherical Gaussian surface centered on the origin and having a radius of 4.6 cm?___________ N · m2/C