a solid sphere has a uniform charge density of 18uc/m^3 and a radius of 0.40m. use gauss law to determine the value of the electric field at 0.20m and 0.60m?
a solid sphere has a uniform charge density of 18uc/m^3 and a radius of 0.40m. use...
Guided Problem 4 -Gauss's LawA solid, insulating sphere of radius a has a uniform charge density ρ 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 the following figure. (a) Find the magnitude of the electric field in the regions: r<a, a<r<b, and r>c. (b) Determine the induced charge per unit area on the inner and outer surfaces of the hollow sphere.Solution scheme:...
A solid, insulating sphere of radius a has a uniform charge density of P and a total charge of Q. Concentric with this sphere is a conducting spherical shell with inner and outer radii are b and c, and having a net charge -3Q. (a) (5 pts.)Use Gauss's law to derive an expression for the electric field as a function of r in the regions r < a (b) (4 pts.) Use Gauss's law to derive an expression for the electric field...
held. A solid sphere has a radius R. The top hemisphere carries a uniform charge density p while the lower hemisphere has a uniform charge density of -p. Find an approximate formula for the potential outside the sphere, valid at distances r >> R. A solid sphere has a radius R. The top hemisphere carries a uniform charge density p while the lower hemisphere has a uniform charge density of -p. Find an approximate formula for the potential outside the...
a non-conducting solid sphere of radius 8.5 centimeters has a uniform charge density. the magnitude of the electric field at 17 centimeters from the spheres center is 2.14×10^3 Newtons per Coulomb. a. what is the spheres volume charge density? b. find the magnitude of the electric field at a distance of 5 centimeters from the sphere center
A solid, nonconducting sphere has charge non-uniformly distributed throughout its volume. The charge density p can be modeled by p(r) = Ar^2 where A=2.5uC/m^5. radius of sphere=4.0cm. a.) What is the total charge enclosed within the sphere? b.) Use Gauss' Law to find electric field strength at r=3cm.
A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge of Q. Concentric with this sphere is an uncharged, conducting hollow sphere whose inner and outer radii are b and c as shown in the figure below. We wish to understand completely the charges and electric fields at all locations. (Assume Q is positive. Use the following as necessary: Q, ε0 , a, b, c and r. Do not substitute numerical...
3. A sphere has uniform charge density p=0.6C/m^3 and radius of 0.03m. Inside the sphere is a point charge with charge 0.003C located at its center. What is the electric field at a distance of 0.04m from the center of the sphere? 4. Two infinite line charges (charged rods/cylinders, E=k*lambda/D)) make a 90 degree angle with each other. Each has charge density lambda=0.1C/m. What is the electric field at a distance of 0.05m above each rod? Make sure to draw...
A nonconducting solid sphere of radius 9.80 cm has a uniform volume charge density. The magnitude of the electric field at 19.6 cm from the sphere's center is 1.96 x103 N/C (a) What is the sphere's volume charge density? 2.651 (b) Find the magnitude of the electric field at a distance of 5.00 cm from the sphere's center N/C eBook
An insulating, solid sphere has a uniform, positive charge density of rho=7.40×10-7 C/m^3. The sphere has a radius R of 0.350 m. What is the electric potential at a point located at a distance of r_1 = 0.160 m from the center of the shell?
14. A solid metal sphere of radius 0.30 m has a net charge deposited on it of -5.0 x 106 C. a. Determine the number of electrons that were added to the sphere. b. Determine the electric field inside the sphere due to the charge on the sphere. Support your answer. c. Determine the electric field at the surface of the sphere due to the charge on the sphere. Support your answer. d. If the sphere has a mass of...