EE 3213 Electromagnetics ECE Summer Online Class The University Of Texas At San Antonio HOMEWORK 4

EE 3213

HW

1) If the electric flux density vector is D=[2x 2y+xz xyz]

a) Calculate the volume charge density at point P:(1,-1,2).

b) Calculate the total flux at the surface of a unit cube enclosing the point P.

c) Calculate the total flux at the surface of a rectangle x=2, 0<y<3 and 0<z<4.

2) Calculate the electric flux at any closed surface enclosing a 5C and a -10 C of point charges.

3) Calculate the electric field at the inside of a charged spherical material with a total volume

charge of -10 NC with radius 2 mm.

4) Calculate the Electric field inside, and outside of a neutral spherical shell that has a 5nC of point

charge located at the center of it.

(Hint: In the bulk of the neutral conductors electric field is always zero)

5) Calculate the electric field in the vicinity of an infinite line charge with line charge density of

3nC/m.

6) Calculate the electric field at the outside of a coaxial cable loaded by static charge of 5C/m 2 at its

inner surface and -10 C/m 2 at its outer surface. (inner cable radius=1 mm , outer cable

radius=3mm).