1) A +1.5-nC point charge is placed at one corner of a square (1.5 m on a side), and a -3.0-nC charge is placed on the corner diagonally opposite. What is the magnitude of the electric field at either of the other two corners?
2) Consider an electric dipole on the x-axis and centered at the origin. At a distance h along the positive x-axis, the magnitude of electric field due to the electric dipole is given by k(2qd)/h3. Find a distance perpendicular to the x-axis and measured from the origin at which the magnitude of the electric field stays the same. (Use the following as necessary: h and d.)
3) A charge per unit length +λ is uniformly distributed along the positive y-axis from y = 0 to y = +a. A charge per unit length -λ is uniformly distributed along the negative y-axis from y = 0 to y = -a. Write an expression for the electric field at a point on the x-axis a distance x from the origin. (Use the following as necessary: k, λ, x, and a.)
4) An electron is observed traveling at a speed of 1.67 107 m/s parallel to an electric field of magnitude 11,360 N/C. How far will the electron travel before coming to a stop? (The mass of electron is 9.109 10-31 kg, and the charge on the electron is 1.602 10-19 C. The electron is moving in the direction opposite to the electric field.)
5) A -7-nC point charge is located at the center of a conducting spherical shell. The shell has an inner radius of 2 m, an outer radius of 4 m, and a charge of +8 nC. (Let the radially outward direction be positive.)
(a) What is the electric field at r = 1 m? (Indicate the direction with the sign of your answer.)
(b) What is the electric field at r = 3 m? (Indicate the direction with the sign of your answer.)
(c) What is the electric field at r = 7 m? (Indicate the direction with the sign of your answer.)
(d) What is the surface charge distribution, σ, on the outside surface of the shell?
(Indicate the direction with the sign of your answer.)