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A hollow metal sphere has 6 cm and 10 cm inner and outer radii, respectively. The surface charge density on the inside surface is -100 nGm2. The surface charge density on the exterior surface is
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- A very large, flat slab has uniform volume charge density and thickness 2t. A side view of the cross section is shown in Figure P25.51. a. Find an expression for the magnitude of the electric field inside the slab at a distance x from the center. b. If = 2.00 C/m3 and 2t = 8.00 cm, calculate the magnitude of the electric field at x = 300 FIGURE P25.41 Problems 51 and 52.arrow_forwardThe 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)?arrow_forwardA total charge Q is distributed uniformly on a metal ring of radius R. a. What is the magnitude of the electric field in the center of the ring at point O (Fig. P24.61)? b. What is the magnitude of the electric field at the point A lying on the axis of the ring a distance R from the center O (same length as the radius of the ring)? FIGURE P24.61arrow_forward
- In the figure a solid sphere of radius a = 3.00 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 = +5.10 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at radial distances (b) r = a/2.00, (c) r = a, (d) r = 1.50a? What is the net charge on the (g) inner surface of the shell?arrow_forwardA metallic spherical shell has an inner radius of 6.20 cm and an outer radius of 9.40 cm. The surface charge density on the inner surface is -100 nC/m2 while the surface charge density on the outer surface is +100 nC/m2. The image shows a cross section of the metallic shell. What is the strength of the electric field at point 4 cm from the center? What is the strength of the electric field at point 8 cm from the center? What is the strength of the electric field at point 12 cm from the center?arrow_forwardAn infinitely long, solid cylindrical insulator has radius R1 = 14 cm and volume charge density p. The electric field at the curved surface of the cylinder is measured to have magnitude E1 = 9.4 x 103 N/C. A solid sphere with radius R1 = 30 cm has the same charge density p. Determine the electric field E2 at the sphere's surface in terms of E1, R1, and R2.arrow_forward
- A long, thin straight wire with a linear charge density λwire = +3.17 nC/m runs down the center of a thin, hollow metal cylindrical shell of radius 1.55 cm. The cylindrical shell has a linear charge density λshell = +6.97 nC/m.(Figure 1) What is the electric field strength at a radius of 1.04 cmcm inside the cylindrical shell? What is the electric field strength at a radius of 2.29 cmcm outside the cylindrical shell?arrow_forwardA solid sphere, of radius a = 2.30 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net charge q1 = +6.00 fC which is distributed uniformly through the sphere; the shell has a net charge of q2 = −q1. (d) What is the magnitude of the electric field at radial distance r = 1.60a? (e) What is the magnitude of the electric field at radial distance r = 2.20a? (f) What is the magnitude of the electric field at radial distance r = 3.30a?arrow_forwardA conductive sphere with a cavity has an outer radius of 0.30 m, an inner radius of 0.25 m, and a charge distribution on its surface of +5.80 µC/m2. If a charge of -0.56 µC is placed in the middle of the cavity inside the sphere (ke = 8.99 × 109 Nm2/C2nd)a) What would be the new charge density outside the sphere?b) What is the electric field just outside the sphere?c) What is the electric flux through the spherical surface just inside the inner surface of the sphere?arrow_forward
- A disk of radius 2.5 cm has a surface charge density of 5.3 mC/m2 on its upper face.What is the magnitude of the electric field produced by the disk at a point on its central axis at distance z =12 cm from the disk?arrow_forwardA spherical shell with uniform volume charge density ρ = 1.84 nC/m3, inner radius a =10.0 cm, and outer radius b = 2.00a (Figure 5). What is the magnitude of the electricfield at radial distancesi. r = 0 ii. r = a/2.00 iii. r = a iv. r = 1.50a v. r = b vi. r = 3.00barrow_forwardIn the figure below, a solid sphere, of radius a = 1.50 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net charge q1 = +3.00 fC which is distributed uniformly through the sphere; the shell has a net charge of q2 = −q1. (d) What is the magnitude of the electric field at radial distance r = 1.60a? N/C(e) What is the magnitude of the electric field at radial distance r = 2.10a? N/C(f) What is the magnitude of the electric field at radial distance r = 3.30a? N/C (I assumed that you solved these like the previous 3 but i guess there's an extra step)arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning