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Homework 3
Assigned: 9/7/17 Week 3
Due : Week 4 in recitation
1. For a ring of radius 1 m located in the xy plane with its center at the origin, calculate the elecrtic field at the' point z=l0m. Assume the linear charge density is 5 microC/m.
2. A line of charge extends from the origin to x=L. The total charge on the line is Q. What is the electric field at a point x=-a?
3. A line of charge extends from the origin to x=L. The total charge on the line is Q. What is the electric field at a point y=a, x=L/2?
4. Derive an expression for the electric field for a charged disk of uniform charge density at a point P above the plane of the disk. Be prepared to explain the steps involved in the derivation.
5. Obtain the expression for the volume of the sphere using a triple integral and spherical coordinates.
6. Obtain the expression for the volume of a cylinder using a tripl integral and cylindrical coordinates.
7. Obtain the expression for the volume of a box using a triple integral and Cartesian coordinates.
8. Using Gauss' law obtain the expression for an infinite line of charge.
9. Using Gauss' law obtain the expression for the electric field of a nonconducting infinite sheet of charge.
10. Using Gauss' law obtain the expression for the electric field of a spherical shell of charge for r less than R and r greater than R. R is the radius of the shell.