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Homework 2
Assigned: 8/25/17 Week 1
Due : Week 3 in recitation
1. Calculate the force on a +1C charge located at the origin due to a -3C charge located at (-1,-1).
2. Calculate the force on a +1C charge located at the origin due to a +1C charge located at (1,0).
3. Calculate the force on a +1C charge located at the origin due to 5 different charges each with a charge of 2 Coulombs. The charges are located at (1,1), (2,1), (-1,3), (2,0), and (3,2).
4. Suppose the +1C charge from problem 3 is moved to (1,0). What will be the force on this charge due to the 5 other charges from problem 3?
5. What is the value of the vector field E(x,y,z) = x2i + 2xzj - 3yk at (a) (1,1,0), and (b) (2,1,0), (c) (1,2,1)
6. Suppose the 5 charges of problem 3 create an electric field E(x,y,z)=k[ 3xi + 4yj +5zk]. Calculate the force on the +1C charge at (0,0).
7. Suppose the 5 charges of problem 3 create an electric field E(x,y,z)=k[ 3xi + 4yj +5zk]. Calculate the force on the +1C charge at (1,0).
8. Two +1 MICROcoulomb charges are located at (1,0) and (-1,0). What is the force on a +1 MICROcoulomb charge located at (0,1) due to these two charges?
9. An electron is placed into an electric field E(x,y) = xi+yj at the point (1,1). What is the acceleration of the electron?
10. Find the point (1,2,3) in (a) cylindrical coordinates, (b) spherical coordinates.