Question 4: Uniform charge Q is distributed in the volume of a hemisphere of radius R....
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...
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...
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.
3. (5 pts) Electrostatic force. A sphere of radius R which carries a uniform volume charge density ρυ is cut in half as shown in the following figure. Find the force that the southern hemisphere exerts on the northern hemisphere and express it in terms of the total charge of the sphere q.
3. (5 pts) Electrostatic force. A sphere of radius R which carries a uniform volume charge density ρυ is cut in half as shown in the following...
Problem 6: Assume uniform distribution of charge within a sphere with radius R. Determine the total force with which the southern hemisphere acts on the northern hemisphere. Show your solution in terms of radius of the sphere R and the total charge Q. State assumptions if any Problem 6: Assume uniform distribution of charge within a sphere with radius R. Determine the total force with which the southern hemisphere acts on the northern hemisphere. Show your solution in terms of...
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...
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.
Charge is distributed throughout a spherical volume of radius R with a density ρ ar where α is a constant. an risthe distance from the center of the sphere. Determine the electric field due to the charge at a point a distance r from the center that is inside the sphere, and at a point a distance r from the center that is outside the sphere. (Enter the radial component of the electric field. Use the following as necessary: R,...
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 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...