Summary-This is the basic problem from Electrostatic. I have provided the derivation by using Gauss's law.
a hollow conductive sphere of internal and external radius b has a total charge of +...
A hollow metal sphere has inner radius a and outer radius b. The hollow sphere has charge +2Q. A point charge +Q sits at the center of the hollow sphere. a. Determine the electric fields in the three regions r ≤ a, a < r < b, and r ≥ b. b. How much charge is on the inside surface of the hollow sphere? On the exterior surface?
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 sphere of radius a is concentric with a hollow sphere of radius b, where b> a. If the solid sphere has a charge +Q and the hollow sphere a charge of -Q, the electric field at radius r, where r>b, is which of the following, in terms of k (4TE?
Given that we have a conductive sphere with charge +Q enclosed in a conductive spherical shell with charge -Q. a. Find the electric field at all points in space, in terms of the variables given. Clearly draw out the Gaussian surface(s) used. b. What is the capacitance of this arrangement of conductors? Bonus: Using the above result, what is the capacitance of just a conductive sphere by itself of radius 0.10 m?
A hollow insulating sphere of inner radius "a" and outer radius "b" has a non-uniform charge per unit volume p that varies with distance r from the center of the sphere according to the expression p=Cr^2, where C is a given constant. a) what is the total charge Q contained in the hollow sphere b) what is the electric field at a point inside the sphere, a< r < b
1. A solid sphere of radius a is concentric with a hollow sphere of radius b, where b>alf the solid sphere has a charge +Qand the hollow sphere a charge of see figure. The electric field at radius , where r>b, is: A) KOR; B) 2KQ/R; C) MQ/#; D) AQB; E) zero.) 1. A solid sphere of radius a is concentric with a hollow sphere of radius b, where b>alf the solid sphere has a charge +Qand the hollow sphere...
A hollow conductive sphere has an excess charge of -4 nC. A point charge of -2 nC is placed inside the sphere. The distribution of charges on the internal and external surfaces of the sphere is respectively (in nC): Qint: 2 -6 0 -2 -4 -2 (in nC) Qext: 2 -6 0 -2 -4 -2 (in nC)
A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q Concentric with this sphere is a conducting, hollow sphere with total charge -Q, whose inner and outer radii are b and c as shown in the figure. Express all your answers in terms of Q, a, b, c,r and k, or o as appropriate (a) [4 pts.] Draw an appropriate Gaussian surface and use it to find the electric field...
An insulating hollow sphere of inner radius R1 and outer radius R2 has a uniform volume charge density pand carries a total positive charge Q. A. Calculate the magnitude of the electric field and the electric flux at a point r where: B. Sketch the electric field and the electric flux as a function of r.
Problem 2: a conducting sphere A conducting sphere has a positive net charge Q and radius R. (Note: since the sphere is conducting all the charge is distributed on its surface.) a) By reflecting on the symmetry of the charge distribution of the system, determine what the E-field lines look like outside the sphere for any r > R. Describe the E-field in words and with a simple sketch. Make sure to also show the direction of the E-field lines....