The figure is a section of a conducting rod of radius R₁ = 1.60 mm and length L = 11.10 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 10.1R₁ and the (same) length L. The net charge on the rod is Q₁ =+3.44 x 10-12 C; that on the shell is Q2 = -2.28Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.01R₂? What are (c) E and (d) the direction at r = 5.16R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? (a) Number i (b) (c) Number i (d) (e) Number i V Units Units Units 4
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- If a solid conducting sphere of radius 50.0 cm carries a total charge of 150 nC uniformly distributed throughout its volume. Find the (a) charge density of the sphere and (b) the magnitude of the electric field at r = 10 cm.The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.90 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 11.0R₁ and the (same) length L. The net charge on the rod is Q₁ +3.68 x 10-12 C; that on the shell is Q₂ = -2.30Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.30R₂? What are (c) E and (d) the direction at r = 5.20R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? (a) Number UnitsA conducting spherical shell of inner radius a = 3 cm and outer radius b = 8 cm is charged by a total charge Q = 4.8T µc. A point charge q = 1.6T µc is placed at the center of the spherical shell.The surface charge density at the outer surface (in 10-3 c/m?) is:
- The figure is a section of a conducting rod of radius R₁ = 1.20 mm and length L = 13.00 m inside a thin-walled coaxial conducting cylindrical shell of radius R2 = 12.6R1 and the (same) length L. The net charge on the rod is Q₁ = +3.45 × 10-12 C; that on the shell is Q₂ = -2.17Q1. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.10R₂? What are (c) E and (d) the direction at r = 5.03R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? Re RiA cylinder of length L=5m has a radius R=2 cm and linear charge density 2=300 µC/m. Although the linear charge density is a constant through the cylinder, the charge density within the cylinder changes with r. Within the cylinder, the charge density of the cylinder varies with radius as a function p( r) =p.r/R. Here R is the radius of the cylinder and R=2 cm and p, is just a constant that you need to determine. b. Find the constant po in terms of R and 2. Then plug in values of R and 1. to find the value for the constant p. c. Assuming that L>>R, use Gauss's law to find out the electric field E inside the cylinder (rR) in terms of 1. and R. d. Based on your result from problem c, find the electric field E at r=1cm and r=4cm.A disc, shaped like a quarter circular arc with inner radius a and outer radius b, carries a surface charge density given by σ(θ) = αcosθ where θ is the angle to the x-axis in cylindrical coordinates and α a positive constant. Determine the total charge carried by the disk
- The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.10 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 11.8R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.62 × 10-12 C; that on the shell is Q2 = -2.0501. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.13R₂? What are (c) E and (d) the direction at r = 5.12R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? R₂ R₁An infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity o1 = 0.62 µC/m². Another infinite sheet of charge with uniform charge density o2 = -0.29 µC/m² is located at x = c = 33 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 14.5 cm and x = 18.5 cm). d a/2 a/2| a/2 1) What is Ex(P), the x-component of the electric field at point P, located at (x,y) = (7.25 cm, 0)? N/C Submit 2) What is oa, the charge density on the surface of the conducting slab at x = 14.5 cm? | µC/m² Submit 3) What is V(R) - V(P), the potentital difference between point P and point R, located at (x,y) = (7.25 cm, -18.5 cm)? Submit 4) What is V(S) - V(P), the potentital difference between point P and point S, located at (x,y) = (25.75 cm, -18.5 cm)? V submit + 5) What is Ex(T), the x-component of the electric field at point T, located at (x,y) = (40.25 cm, -18.5 cт)? N/C Submit R.A very large nonconducting plate lying in the xy-plane carries a charge per unit area of 3?. A second such plate located at z = 2.40 cm and oriented parallel to the xy-plane carries a charge per unit area of −2?. Find the electric field for the following. (a) when z<0 (b) when 0 < z < 2.40 cm (c) when z > 2.40 cm