College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- An infinite cylinder of radius R has a charge density given by p(r) = ar³, where r is the perpendicular distance from the axis of the cylinder, and a is a constant. Show that the electric field for r > R given by aRT E(r) : 7€or is the same as that obtained if all the charge is concentrated in an infinitely thin wire.arrow_forwardNCS-1 A non-conducting sphere of radius R=0.300m has a total charge q-100μC that is evenly distributed throughout its volume. a) Find the charge within a radius of r=0.100m. Hint: first find the volume charge density p. b) Find the electric field strength at r=0.100m. c) Find the charge within a radius of r-0.200m. d) Find the electric field strength at r-0.200m. e) Find the charge within a radius of 1-0.300m. f) Find the electric field strength at r-0.300m. g) How does E change with increasing radius? Rarrow_forwardA dielectric rod with cross-section area of A and polarization of Px = ax² + b is extended from x = 0 to x = L. (a) Calculate the bound volume charge density and bound surface charge density. b) Determine the total bound charge.arrow_forward
- Need this with explanationarrow_forwardnonconductor solid cylinder with a 30-cm-radius and a height of 60.0 cm is unifo rmly charged to 120 nC. a. What is the cylinder’s volume charge density (C/m³ )? b. How much charge is enclosed by A cylinders of radii 10 cm, 20 cm, and 30 cm? (c) What is the electric field strength at points 10 cm, 20 cm, and 30 cm from the center of the cylinder?arrow_forwardThe electric field at a distance of 0.154 m from the surface of an insulating solid sphere of radius 0.385 m is 1970 N/C. Assuming that the charge on the sphere is uniformly distributed, a) what is the charge density within it? b) Calculate the electric field inside the sphere at a distance of 0.150 m from the center.arrow_forward
- Consider the following figure. (If you need to use co or -o, enter INFINITY or -INFINITY, respectively.) (a) Find the total electric field in N/C at x = 8.00 cm in part (b) of the figure above given that q = 1.00 uC. N/C (b) Find the total electric field in N/C at x = 11.50 cm in part (b) of the figure above. (Include the sign of the value in your answer.) N/C (c) If the charges are allowed to move and eventually be brought to rest by friction, what will the final charge configuration be? (That is, will there be a single charge, double charge, etc., and what will its value(s) be? Use the following as necessary: q.)arrow_forwardThe electric field everywhere on the surface of a thin, spherical shell of radius 0.700 m is of magnitude 855 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? 1.16e-8 If a positive charge exists inside the sphere, what direction would the electric field point outside the sphere? nC (b) What is the distribution of the charge inside the spherical shelI? O The positive charge has a spherically symmetric charge distribution. O The negative charge has a spherically symmetric charge distribution. O The negative charge has an asymmetric charge distribution. O The positive charge has an asymmetric charge distribution.arrow_forwardConsider a spherically symmetric distribution of charge where the charge density as a function of distance from the center is given by ? (r) = 9.3 r4 x 10-12 C/m3 (note the 10-12 will cancel the 10-12 in ?0). This charge distribution extends from r = 0 to r = 5.3 m, and beyond that the charge density is 0. Calculate the magnitude of the electric field r = 8.1 m away from the center of the distribution, in N/C. Use ?0 = 8.85 x 10-12 F/m. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forward
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