4. Using the formula V(r) 1 /TTda , calculate the potential inside and outside a uniformly...
Find the potential inside and outside a uniformly charged solid sphere whose radius is R and whose total charge is q. Use infinity as your reference point. Compute the gradient of V in each region, and check that it yields the correct field. Sketch V(r)
A thin, uniformly charged spherical shell has a potential of 645 V on its surface. Outside the sphere, at a radial distance of 21.0 cm from this surface, the potential is 325 V. Calculate the radius of the sphere. Determine the total charge on the sphere. What is the electric potential inside the sphere at a radius of 2.0 cm? Calculate the magnitude of the electric field at the surface of the sphere. If an electron starts from rest at...
Problem 2 Determine the potential of the same for the electric field spherical shell by using the result [7 marks Determine the electric field inside and outside a uniformly charged spher- ical shell of radius R and total charge q. 5 marks]
The electric potential inside a charged spherical conductor of radius R is given by V = keQ/R, and the potential outside is given by V = keQ/r. Using Er = -dV/dr, derive the electric field inside and outside this charge distribution. (Use any variable or symbol stated above as necessary.)
2. +-/0.55 points Tipler6 23.P040 +10-6 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? A charge of q 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...
3. Uniformly Charged Spherical Shell Find the energy of a uniformly charged spherical shell of total charge Q and radius R. (HINT: the relationship V-RdA may be useful, also think about what integrating over dA actually yields)
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
A charge of q-+106 C is uniformly distributed on a spherical shell of radius 16 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 eBook
3. In a cylindrical capacitor, the inside electrode has radius 1 and potential V the outside electrode has radius r2 and potential V2. 0 (a) Derive the Laplace equation la + + = 0 for the electrostatic potential V(z, y, z) inside the dielectric layer (b) Using the cylindrical symmetry, reduce the Laplace equation to an ODE and find the electrostatic potential y9 糺r 의 + and Δu-糺r'W +-GR sin )- 습. La placan in cylindrical and spherical coordinates Δυ-...
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)...