Charge Q = +4.00 μC is distributed uniformly over the volume of an insulating sphere that has radius R = 5.00 cm. What is the potential difference between the center of the sphere, V(0) and the surface of the sphere, V(R)? Solve by finding the E-field inside the insulating sphere using Gauss law, and then find the potential difference.
Charge Q = +4.00 μC is distributed uniformly over the volume of an insulating sphere that...
Charge Q = 7.00 μC is distributed uniformly over the volume of an insulating sphere that has radius R = 13.0 cm . A small sphere with charge q=+ 2.00 μC and mass 6.00×10−5kg is projected toward the center of the large sphere from an initial large distance. The large sphere is held at a fixed position and the small sphere can be treated as a point charge. What minimum speed must the small sphere have in order to come...
Charge Q = 8.00 μC is distributed uniformly over the volume of an insulating sphere that has radius R = 14.0 cm . A small sphere with charge q=+3.00 μC and mass 6.00.×10−5kg is projected toward the center of the large sphere from an initial large distance. The large sphere is held at a fixed position and the small sphere can be treated as a point charge. part a) What minimum speed must the small sphere have in order to...
Charge Q = 2E-6 C is distributed uniformly over the volume of an insulating sphere that has radius R = 3cm What is the potential difference between the center of the sphere and the surface of the sphere if the sphere is metallic and we place the same charge Q on it?
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...
1a) An insulating sphere of radius 2.0 m contains +50 μC of electric charge uniformly distributed throughout the volume of the sphere. i) What is the electric field 1.5 m away from the center of the sphere? ii) What is the volume charge density? iii) What is the electric field 3.0 m away from the center of the sphere? 1b) A potential difference of 6.00 nV is set up across a 5.00 cm length of copper wire that has a...
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 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 )= =
Consider an insulating sphere with radius a = 9 cm. A charge of -13.3 μC is uniformly distributed throughout this sphere. It is surrounded by a conducting shell. The charge on the inner surface of the shell is q2 and the charge on the outer surface of the shell is q3. The total charge q on the shell is 66.3 μC. Find the charges q2 and q3.
A solid insulating sphere of radius 5.00 cm is centered at the origin. It carries a total charge of 2.00 C uniformly distributed through its volume. Concentric with this sphere is an uncharged conducting shell whose inner and outer radii are 8.00 cm and 10.0 cm respectively. a What is the electric field (magnitude and direction) 1.00 cm from the origin b How much charge resides on the inner surface of the conductor c What is the electric field (magnitude and...
Problem 8 A positive charge is uniformly distributed through an insulating sphere of radius R. The point P that is located a distance r from the center of the sphere. (i) Determine the electric field when the point P is inside the sphere (r < R). (ii) Determine the electric field when the point P is outside the sphere (r > R). (iii) Plot the magnitude of the electric field as a function of r.