Use complete solution 45. (II) A sphere of radius R has a charge Q uniformly distrib-...
Charge Q is uniformly distributed in a nonconducting sphere of radius R. What is the potential at distance R/2 from the center of the sphere? Please answer without calculus. The answer is KQ/(4R)
A solid sphere of radius R carries charge Q distributed uniformly throughout its volume. Find the potential difference from the sphere's surface to its center. Express your answer in terms of the variables R, Q and Coulomb constant k. V ( R ) − V ( 0 )= =
A charge q is distributed uniformly throughout a nonconducting spherical volume of radius R. Show that the potential a distance a from the center, where a < R, is given by V= q(3R2 -a2)/(8*pi*R3*constant) The constant is e=(8.85*10^-12)
Charge Q is spread uniformly throughout the volume of a sphere of radius R. The flux through a spherical Gaussian surface of radius r < R (concentric with the sphere of charge) in equal to a) Q/element of_0 b) Qr/element of_0 R c) Qr^2/element of_0 R^2 d) Qr^3/element of_0 R^3
Consider a uniformly volume‑charged sphere of radius R and charge Q . What is the electric potential on the surface of the sphere in terms of R , Q , and ϵ 0 , choosing the zero reference point for the potential at the center of the sphere?
4) A nonconducting sphere of radius Ro and total charge Q, contains a non-uniform volume charge density p -A/r (where A is a constant) throughout the she (a) Find the constant A in terms of Ro, k and Q (b) Find the electric field for r < Ro and r Ro.
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,...
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 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...
A charge, q, is uniformly distributed through a sphere of radius R. Surrounding the sphere is a conducting shell having inner radius 2R and outer radius 3R. The shell has a charge of -4q placed on it. a. What is the electric field and electric potential, relative to V = 0 at infinity at r for r > 3R? b. What is the electric field and electric potential at r for 3R > r > 2R? c. What is the...