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?
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An isolated thin spherical conducting shell of radius R has charge Q uniformly distributed on its...
A charge Q is distributed uniformly on the surface of a spherical conducting shell of radius 10 cm. The magnitude of electric field on the surface is 106V/m. What is the magnitude of electric field 20 cm from the center of the shell? What is the surface charge density in Cm2 of the spherical shell in problem 4?
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 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?
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...
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?
A point charge q is located at the center of a spherical shell of radius a that has a charge -q uniformly distributed on its surface. Find the electric field for the following points: (a) for all points outside the spherical shell E = kq/r2 E = kq2/r2 E = q/4pr2 none of these E = 0 (b) for a point inside the shell a distance r from the center E = q/4pr2 E = kq2/r2 E = kq/r2 E...
A point charge q is located at the center of a spherical shell of radius a that has a charge −q uniformly distributed on its surface. Find the electric field for the following points: (a) for all points outside the spherical shell E = q/4πr2 E = 0 E = kq2/r2 E = kq/r2 none of these (b) for a point inside the shell a distance r from the center E = kq2/r2 E = kq/r2 E = q/4πr2 none...
A charge of q-+ 10.7 C is uniformly distributed on a spherical shell of radius 18 cm. (a) What is the magnitude of the electric field just outside and just inside the shell? kV/m (outside) kV/m (inside) (b) What is the magnitude of the electric potential just outside and just inside the shell? V (outside) V (inside) (c) What is the electric potential at the center of the shell? What is the electric field at that point? kV/m
11.Consider a hollow thin conducting sphere of radius R = 10 cm, uniformly distributed with a surface charge density of σ = 10-9 coulombs/cm2. a) Find the field at a radius r > 10 cm. Explain the vector orientation of the field and the magnitude. b) Find the field at a radius r < 10 cm inside the sphere. Explain the vector orientation of the field and the magnitude. c) Now consider two concentric conducting spherical shells, each coated with...
3. A solid spherical insulator with radius Ry is surrounded by a conducting spherical shell with inner radius R2 and outer radius R3 and with the same center point as the central sphere. The central sphere has charge density p yr3, where r is the distance from the common center of the sphere and shell. The conducting shell has charge Q. Find the magnitude of the electric field as a function of r in the following regions: R2 (a)r s...