A solid, spherical plastic ball (of radius a) is given a net charge of +4Q Coulombs. The charge is distributed uniformly throughout the volume of the ball.
a.) Determine the total charge enclosed by a Gaussian surface of radius r = a/2
b.) Use Gauss's Law to determine an expression for the electric field at r = a/2. Use the symbol kE in your answer. Do not forget to include a unit vector, since the electric field is a vector.
A solid, spherical plastic ball (of radius a) is given a net charge of +4Q Coulombs....
A solid spherical ball of radius R = 2.5 cm contains a uniform charge Q = 8.0°C distributed uniformly throughout its volume. Determine the electric potential at r > R. b. Determine the electric potential at r <R.
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 uniformly charged non-conducting sphere of radius a is placed at the center of a spherical conducting shell of inner radius b and outer radius c. A charge +Q is distributed uniformly throughout the inner sphere. The outer shell has charge -Q. Using Gauss' Law: a) Determine the electric field in the region r< a b) Determine the electric field in the region a < r < b c) Determine the electric field in the region r > c d)...
#1 and #3 I) )A solid insulating sphere of radius a carries a net positive charge density 3p uniformly distributed throughout its volume. A conducting spherical shell of inner radius 2a and outer radius 3a is concentric with the solid sphere and carries a net charge density-22 Using Gauss's law, find the electric field everywhere. Sketch the electric field 2) "A) The current density in a cylindrical wire of radius R meters is uniform across a cross section of the...
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...
A solid conducting sphere of radius 2.00 cm has a charge of 9.20 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a charge of-1.92 μC. Find the electric field at the following radii from the center of this charge configuration (a) r-1.00 cm magnitude 0 direction N/C The magnitude is zero. (b) r-3.00 cm magnitude 9.2e7 direction radially outward (c) r-4.50 cm magnitude 0 direction...
Consider a sphere of radius a with a uniform charge distribution over its volume, and a total charge of q_o. Use Gauss's Law to calculate the electric field outside the sphere, and then inside the sphere. Solve the general problem in r, recognizing that problem spherical symmetry. Draw a graph of the electric field the has the surface of the strength as a function of noting where if the surface of the sphere is (a). Some hints: the surface area...
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q. (a) Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a, b < r < c, and r > d. Note...
A solid insulating sphere of radius a = 0.3 m, carries a total charge Q = 225 pc distributed uniformly throughout its volume. Find the electric flux (in Nm/C), through a concentric Gaussian spherical surface of radius r = 0.2 m, as shown in the figure. Gaussian sphere Select one: a. 85.81 b. 7.54 c. 25.43 d. 15.01 e. 50.62
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.