10 A conducting sphere of radius R and charge +Q is cancentric with a spherical conducting shell of inner radius R; and outer radius R2. The shell has a net charge -Q as given in the figure Find an expression for the electric field as a function of the radius rwhen: rER R. R R 3kQ a) b) E = C) E 2kO d) e) 2kQr Boş bırak

10 A conducting sphere of radius R and charge +Q is cancentric with a spherical conducting shell of inner radius R; and outer radius R2. The shell has a net charge -Q as given in the figure Find an expression for the electric field as a function of the radius rwhen: rER R. R R 3kQ a) b) E = C) E 2kO d) e) 2kQr Boş bırak

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 52P: A cylindrical shell of radius 7.00 cm and length 2.40 m has its charge uniformly distributed on its...

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Two large rectangular aluminum plates of area 150 cm2 face each other with a separation of 3 mm between them. The plates are charged with equal amount of opposite charges, 20C . The charges on the plates face each other. Find the flux through a circle of radius 3 cm between the plates when the normal to the circle makes an angle of 5o with a line perpendicular to the plates. Note that this angle can also be given as 180o + 5o.
An uncharged, nonconducting, hollow sphere of radius 10.0 cm surrounds a 10.0-C charge located at the origin of a Cartesian coordinate system. A drill with a radius of 1.00 mm is aligned along the z axis, and a hole is drilled in the sphere. Calculate the electric flux through the hole.
Suppose the conducting spherical shell of Figure 15.29 carries a charge of 3.00 nC and that a charge of -2.00 nC is at the center of the sphere. If a = 2.00 m and b = 2.40 m. find the electric field at (a) r = 1.50 m, (b) r = 2.20 m, and (c) r = 2.50 m. (d) What is the charge distribution on the sphere?
A uniformly charged spherical shell with positive surface charge density contains a circular hole in its surface. The radius r of the hole is small compared with the radius R of the sphere. What is the electric field at the center of the hole? Suggestion: This problem can be solved by using the principle of superposition.
The electric field everywhere on the surface of a charged sphere of radius 0.230 m has a magnitude of 575 N/C and points radially outward from the center of the sphere. (a) What is the net charge on the sphere? (b) What can you conclude about the nature and distribution of charge inside the sphere?
A cylindrical shell of radius 7.00 cm and length 2.40 m has its charge uniformly distributed on its curved surface. The magnitude of the electric field at a point 19.0 cm radially outward from its axis (measured from the midpoint of the shell) is 36.0 kN/C. Find (a) the net charge on the shell and (b) the electric field at a point 4.00 cm from the axis, measured radially outward from the midpoint of the shell.
A very large, thin, flat plate of aluminum of area A has a total charge Q uniformly distributed over its surfaces. Assuming the same charge is spread uniformly over the upper surface of an otherwise identical glass plate, compare the electric fields just above the center of the upper surface of each plate.
A solid insulating sphere of radius R has a nonuniform charge density that varies with r according to the expression = Ar2, where A is a constant and r R is measured from the center of the sphere. (a) Show that the magnitude of the electric field outside (r R) the sphere is E = AR5/50r2. (b) Show that the magnitude of the electric field inside (r R) the sphere is E = Ar3/50. Note: The volume element dV for a spherical shell of radius r and thickness dr is equal to 4r2dr.
A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
A charge of 1.70 102 C is at the center of a cube of edge 80.0 cm. No other charges are nearby. (a) Find the flux through the whole surface of the cube. (b) Find the flux through each face of the cube. (c) Would your answers to parts (a) or (b) change if the charge were not at the center? Explain.