QUESTIONS A line of uniformly-distributed total charge has a length = 25 m. At a radial...
5. A thick, nonconducting spherical shell with a total charge of Q distributed uniformly has an inner radius R1 and an outer radius R2. Calculate the resulting electric field in the three regions r<RI, RL<r<R2, and r > R2
A sphere of radius R = 0.260 m and uniform charge density -453 nC/m^3 lies at the center of a spherical conducting shell of inner and outer radii 3.50R and 4.OOR, respectively. If the conducting shell carries a total charge of Q = -38.1 nC, find the magnitude of the electric field at the following radial distances from the center of the charge distribution:
A spherical shell with a charge of 3.8 µC uniformly distributed throughout the shell has an inner surface with radius of 4.0 cm and outer surface with radius of 5.0 cm. Use Gauss’s Law to find the electric field a. 1.0 cm from the inner surface, inside the shell. b. halfway between the two surfaces. c. 5.0 cm from the outer surface, outside the shell.
metallic spherical shell of radius 46.6 cm has a total charge of 8.75 pC uniformly distributed on it. At the center of the shell is placed a point charge of 3.03 muC. What is the electric field at a distance of 19.9 cm from the center of the spherical shell?
A thin spherical shell has radius 25 cm and a charge 8 nC distributed uniformly over its surface. What is the potential at the center of the sphere?
4 A spherically symmetric charge distribution has the following radial dependence for the volume charge density ρ: 0 if r R where γ is a constant a) What units must the constant γ have? b) Find the total charge contained in the sphere of radius R centered at the origin c) Use the integral form of Gauss's law to determine the electric field in the region r R. (Hint: if the charge distribution is spherically symmetric, what can you say...
A thin metallic spherical shell of radius 43.1 cm has a total charge of 5.65 μC uniformly distributed on it. At the center of the shell is placed a point charge of 1.73 μC. What is the electric field at a distance of 23.9 cm from the center of the spherical shell?
4. A spherically sym metric charge distribution has the following radial dependence for the volume charge density ρ 0 if r > R where γ is a constant a) What units must the constant y have? b) Find the total charge contained in the sphere of radius R centered at the origin. c) Use the integral form of Gauss's law to determine the electric field in the region r < R. (Hint: if the charge distribution is spherically symmetric, what...
A thin metallic spherical shell of radius 40.1 cm has a total charge of 7.65 ?C uniformly distributed on it. At the center of the shell is placed a point charge of 3.53 ?C. What is the electric field at a distance of 22.9 cm from the center of the spherical shell? outward, inward, directionless?
Problem 9: A hollow non-conducting spherical shell has inner radius R1 = 8 cm and outer radius R2 = 17 cm. A charge Q =-35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p = Ar for R1 < r < R2 that increases linearly with radius, where A = 24 uC/m4 .Part(a) Write an equation for the radial electric field in the region r < R1 in terms of Q.r, and Coulomb's...