Problem 11: A solid ball has a radius of 2.50 cm and a charge of 4.37 µC. Part (a) If the ball is made from a conducting material, calculate the electric field (in N/C) at a point that is r = 3.33 cm from the center of the ball. E = Part (b) If instead the ball is made from a non-conducting material and the charge is spread evenly through the ball, calculate the electric field (in C) at a point that is r, = 3.33 cm from the center of the ball. E = Part (c) If the ball is made from a conducting material, calculate the electric field (in N/C) at a point that is r2 = 0.13 cm from the center of the ball. E =

Problem 11: A solid ball has a radius of 2.50 cm and a charge of 4.37 µC. Part (a) If the ball is made from a conducting material, calculate the electric field (in N/C) at a point that is r = 3.33 cm from the center of the ball. E = Part (b) If instead the ball is made from a non-conducting material and the charge is spread evenly through the ball, calculate the electric field (in C) at a point that is r, = 3.33 cm from the center of the ball. E = Part (c) If the ball is made from a conducting material, calculate the electric field (in N/C) at a point that is r2 = 0.13 cm from the center of the ball. E =

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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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.
Figure P15.49 shows a closed cylinder with cross-sectional area A = 2.00 m2. The constant electric field E has magnitude 3.50 103 N/C and is directed vertically upward, perpendicular to the cylinder's top and bottom surfaces so that no field lines paw through the curved surface. Calculate the electric flux through the cylinder's (a) lop and (b) bottom surface, (c) Determine the amount of charge inside the cylinder. Figure P15.49
Two uniform spherical charge distributions (Fig. P25.41) each have a total charge of 45.3 mC and radius R = 15.2 cm. Their center-to-center distance is 37.50 cm. Find the magnitude of the electric field at point A midway between the two spheres. FIGURE P25.41 Problems 41 and 42.
Figure P15.49 shows a closed cylinder with cross-sectional area A = 2.00 m2. The constant electric field E has magnitude 3.50 103 N/C and is directed vertically upward, perpendicular to the cylinder's top and bottom surfaces so that no field lines paw through the curved surface. Calculate the electric flux through the cylinder's (a) lop and (b) bottom surface, (c) Determine the amount of charge inside the cylinder. Figure P15.49
A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge −4.00 μC. Find the electric field at (a) r = 1.00 cm, (b) r = 3.00 cm, (c) r = 4.50 cm, and (d) r = 7.00 cm from the center of this charge configuration.
A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and c as shown in Figure P19.75. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density?
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 uniform spherical charge distribution has a total charge of 45.3 mC and a radius of 15.2 cm. It is surrounded by a thin spherical shell with a uniform charge distribution. The uniform shells net charge is 35.5 mC. The shells radius is 20.2 cm, and it is concentric with the solid sphere. Find the electric field at points A and B located as shown on Figure P25.64. FIGURE P25.64
Consider a plane surface in a uniform electric field as in Figure P24.48, where d = 15.0 cm and = 70.0. If the net flux through the surface is 6.00 N find the magnitude of the electric field. Figure P24.48
A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2. From this information, use Gausss law to find (a) the charge per unit length on the inner surface of the cylinder, (b) the charge per unit length on the outer surface of the cylinder, and (c) the electric field outside the cylinder a distance r from the axis.