(d) may attract or repel, depending on the sign of the charge on the insulator
2:
A rubber balloon has a single point charge in its interior. Does the electric flux through the balloon depend on whether or not it is fully inflated?
3:
A flat, square surface with sides of length L is described by the equations x=L, 0<=y<=L, 0<=z<=L. (a) draw the square on a drawing of x, y, z axes (b) find the electric flux through the square due to a positive point charge q placed at the origin.
4:
Some modern aircraft are made primarily of composite materials (nonconductors). The U.S. Federal Aviation Administration requires that such aircraft have conducting wires imbedded into their surfaces. Why?
5:
A long conducting cylinder of radius A carrying a total charge +Q is surrounded by a conducting cylindrical shell of total charge –2Q and radius B. (a) What is the appropriate Gaussian surface to use for calculating the electric fields in this system? WHY? (b) What are the regions of space that should be considered separately in order to calculate the electric fields in the system? WHY? (c) Where does the charge reside on the conductors? (d) Calculate the electric fields in all space inside and surrounding this system.
6:
A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is –3Q, and it is insulated from its surroundings. . (a) What is the appropriate Gaussian surface to use for calculating the electric fields in this system? WHY? (b) What are the regions of space that should be considered separately in order to calculate the electric fields in the system? WHY? (c) Where does the charge reside on the conductors? (d) Calculate the electric fields in all space inside and surrounding this system. (e) Graph the electric field as a function of the radius.