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Concentric Spherical Shells. A small
Figure P22.45
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- 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.arrow_forwardAssume the magnitude of the electric field on each face of the cube of edge L = 1.00 m in Figure P23.32 is uniform and the directions of the fields on each face are as indicated. Find (a) the net electric flux through the cube and (b) the net charge inside the cube. (c) Could the net charge he a single point charge? Figure P23.32arrow_forwardA 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?arrow_forward
- Two solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB = 0 (b) EA EB 0 (c) EA = EB 0 (d) 0 EA EB (e) 0 = EA EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities as in part (i).arrow_forwardA charge of q = 2.00 109 G is spread evenly on a thin metal disk of radius 0.200 m. (a) Calculate the charge density on the disk. (b) Find the magnitude of the electric field just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge.arrow_forwardA solid insulating sphere of radius 0.06 cm carries a total charge of 30 nC. Concentric with this sphere is a conducting spherical shell with an inner radius of 0.13 cm and an outer radius of 0.17 cm and carrying a total charge of -15 nC. Find the charge distribution for the outer surface of the conducting spherical shell. O 4.130 m2 4 C 4.130x10 m2 -5 C 4.130x10 m2 -8 C 4.130x10 m2arrow_forward
- The electric field everywhere on the surface of a thin, spherical shell of radius 0.730 m is of magnitude 916 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? nC (b) What is the distribution of the charge inside the spherical shell? O The positive 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. The negative charge has a spherically symmetric charge distribution.arrow_forwardA positively charged particle is held at the center of a spherical shell. The figure gives the magnitude E of the electric field versus radial distance r. The scale of the vertical axis is set by Es = 11.0 × 107 N/C. Approximately, what is the net charge on the shell? Assume rs = 1 cm. Number i E (107 N/C) E 0 Units r's 2rs r (cm) I 3rs 4rs 5rsarrow_forwardA charge of uniform linear density 1.90 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell with an inner radius of 6.34 cm and an outer radius of 10.4 cm. If the net charge on the shell is zero, what is the surface charge density on the outer surface of the shell?arrow_forward
- The electric field everywhere on the surface of a thin, spherical shell of radius 0.800 m is of magnitude 892 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? nC (b) What is the distribution of the charge inside the spherical shell? O The negative charge has a spherically symmetric charge distribution. O The positive charge has an asymmetric charge distribution. O The positive charge has a spherically symmetric charge distribution. O The negative charge has an asymmetric charge distribution.arrow_forwardConsider a long metal cylinder of radius a coaxial to and centered inside a larger hallow conducting cylinder with inside radius b and outer radius c. Each cylinder has length L which is much larger than any other length in the problem. Assume that the solid inside cylinder is charged to +2Q while the larger cylinder carries a net total charge of +Q. What is the magnitude of the electric field outside the larger cylinder, r>c? O (Q/L) 2πe r Q 47€ ² Q/L 47€ 2 O (3Q/L) 2 r O 2Q/L 4 r2arrow_forwardI need help answering the attached question.arrow_forward
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