Q4 : The electric potential inside a charged spherical conductor of radious R is given by...
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. Potentials and a Conducting Surface The electric potential outside of a solid spherical conductor of radius R is found to be V(r, 9) = -E, cose (--) where E, is a constant and r and 0 are the spherical radial and polar angle coordinates, respectively. This electric potential is due to the charges on the conductor and charges outside of the conductor 1. Find an expression for the electric field inside the spherical conductor. 2. Find an expression for...
ir <R Q-) The potential of a conductor with radius R is given by r>R Find the electric field inside and outside the conductive sphere.
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 figure shows an inner metallic sphere (Conductor I) centered inside a spherical cavity located inside another metallic sphere (Conductor II). The radii a, band care defined in the figure. Charges Q, and Qu have been placed on Conductors I and II respectively, so that the total charge is Qtot = Q1 + Qui- (a) Find the surface charge densities oa, Ob, and oc (see figure). Explain why your solution works. (b) What is the field outside conductor II? (c)...
1 (a) Explain why there is no electic field inside an uncharged, or statically charged, [2] conductor (b) An uncharged perfectly conducting solid sphere of radius a is placed with its centre at the origin in a region of uniform electric field E = E02. The presence of the sphere modifies the electric field (and the potential) i. Show that the initial potential in spherical coordinates is Vinit (T, 0, )Eor cos 0 everywhere (i.e. before the sphere was placed...
The electric potential inside a charged conductor in electrostatic equilibrium A. Is zero B. Is highest at a sharp corner C. Is lowest at a sharp corner D. Depends on the net charge of the conductor
A solid spherical conductor is charged positively and in electrostatic equilibrium. Which of the following is true. a. the total charge on the conductor must be zero. b. the electric field inside the conductor must be zero. c. any charges on the conductor must be uniformly distributed throughout the sphere. d. the electric field lines are radialy inward from the surface.
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...
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)