A ball of conductor of radius RE = 3 m carries charge 2Q. Inside, it has an empty concentric spherical cavity of radius R₁ = 1.2 m. Find the charge q at radius R₁ and supply the missing numerical factor below. 9 = ( JQ I
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- An arrangement of positive charge forms a semicircular structure with radius R, depicted in the illustration. The linear charge density along the semicircle is given by the equation A Xocose. The aggregate charge on the semicircle is Q. Determine the complete force exerted on a charge of q situated at the central point P. = R P xAn insulating solid spherical shell has inner radius A and outer radius 1.9A. Charge is uniformly distributed throughout the shell with a charge density of +Z. The charge enclosed inside the spherical shell can be written as Q=fZA3 where f is a numerical value with no units. What is the value of f? (Answer should have three significant digits.)The figure is a section of a conducting rod of radius R₁ = 1.30 mm and length L = 13.80 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 = +3.42 × 10-¹2 C; that on the shell is Q₂ = -2.05Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.11R₂? What are (c) E and (d) the direction at r = 5.30R₁? What is the charge on the (e) interior and (f) exterior surface of the shell?
- Density, density, density. (a) A charge -328e is uniformly distributed along a circular arc of radius 6.00 cm, which subtends an angle of 72°. What is the linear charge density along the arc? (b) A charge -328e is uniformly distributed over one face of a circular disk of radius 3.50 cm. What is the surface charge density over that face? (c) A charge -328e is uniformly distributed over the surface of a sphere of radius 2.00 cm. What is the surface charge density over that surface? (d) A charge -328e is uniformly spread through the volume of a sphere of radius 3.30 cm. What is the volume charge density in that sphere? (a) Number Units (b) Number Units (c) Number Units (d) Number UnitsAn excess positive charge of 6.60 C is transferred to an isolated spherical conductor of radius ?=12.7 cm. What is the volume charge density within the sphere?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.
- A 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:A -2.87 µC charge is placed at the center of a conducting spherical shell, and a total charge of +8.70 µC is placed on the shell itself. Calculate the total charge on the outer surface of the conductor.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 R₁A total amount of positive charge Q is spread onto a thin non-conducting circular annulus of inner radius a and outer radius b. The charge is distributed in a way so that the charge density per unit area is given by ? =??3, where r is the distance from the center of the annulus to any point on it and k is a constant.(a) Find an expression for the total charge Q on the annulus. (b) Find an expression for the potential V at the center of the annulus in term of Q, a and bA Consider concentric spherical conducting shells A and B. Conductor A has a total charge +6Q while Conductor B has a total charge of – 10Q. The outer surface of conductor A has a charge of +8Q. How much charge is at the center of the conductors? в