An electric charge Q is distributed uniformly throughout a non-conducting sphere of radius r0, See Fig. below. Using the Gauss's law, determine the electric field:
a) Outside of sphere (r0>r).
b) Inside the sphere (r0<r).
An electric charge Q is distributed uniformly throughout a non-conducting sphere of radius r0
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)...
A nonconducting sphere of radius r0 carries a total charge Q distributed uniformly throughout its volume. Part A: Determine the electric potential as a function of the distance r from the center of the sphere for r>r0. Take V=0 at r=?. Part B: Determine the electric potential as a function of the distance r from the center of the sphere for r<r0. Take V=0 at r=?. Express your answer in terms of some or all of the variables r0, Q,...
10. For students who are taking PHYS 2126 only. An electric charge Q is distributed uniformly throughout a non-conducting sphere of radius re Determine the electric field E at points (a) outside the sphere (r> r), and (b) inside the sphere (r< ro).
1) (a) A conducting sphere of radius R has total charge Q, which is distributed uniformly on its surface. Using Gauss's law, find the electric field at a point outside the sphere at a distance r from its center, i.e. with r > R, and also at a point inside the sphere, i.e. with r < R. (b) A charged rod with length L lies along the z-axis from x= 0 to x = L and has linear charge density λ(x)...
An isolated thin spherical conducting shell of radius R has charge Q uniformly distributed on its surface. Write the results in terms of k, Q and R. (a) Find the electric field at a distance, r = 2R from the center of the sphere. (b) What is the electric field at the center of the conducting sphere? What is the electric field inside the conducting sphere? Please explain the steps and formuals. Mandatory !!!
A non-uniformly charged sphere of radius R has a total charge Q. The electric field inside this charge distribution is described by E=Emax(r4 /R4 ), where Emax is a known constant. Using the differential form of Gauss’s law, find volume charge density as a function of r. Express your result in terms of r, R and Emax.
A sphere has a total charge Q uniformly distributed over its volume. The field inside the sphere at a radius r is given by Er= k (Q/R^3) r (a) What is the electric field at a radius r from the center of the sphere, where r > R (i.e outside of the sphere)? (b) Write down an expression for the electric potential at a radius r for r > R (i.e. outside of the sphere). (c) What is the electric...
Charge Q is distributed uniformly throughout the volume of an insulating sphere of radius R = 4.00 cm. At a distance of r = 8.00 cm from the center of the sphere, the electric field due to the charge distribution has magnitude 640 N/C . a. What is the volume charge density for the sphere? Express your answer to two significant figures and include the appropriate units. b. What is the magnitude of the electric field at a distance...
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 non-conducting sphere of radius R = 5.0 cm carries a charge Q = 3.0 mC distributed uniformly throughout its volume. At what distance, measured from the center of the sphere, does the electric field reach a value equal to half its maximum value? can someone please explain where the Qr^3/R^3 comes from? Why is it cubed?