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Phys 321 (Electromagnetism) Assignment 1 1. Point charges of 120 nC are located at A(0, 0, 1) and B(0, 0, -1) in free space. a) Find E at P (0.5, 0, 0), b) What single charge at the origin would provide the identical field strength? 2. Charges of 20 n C and -20 n C are located at (3,0,0) and (-3,0,0), respectively. Let ? = ?0. Determine |E| at P(0,y,0) 3. Volume charge density is located in free space as ?v = 2e^-1000r nC/m^3 for 0 < r < 1 mm, and ?v = 0 elsewhere. a. Find the total charge enclosed by the spherical surface r = 1 mm. b. By using Gauss's law, calculate the value of Dr on the surface r = 1 mm: The gaussian surface is a spherical shell of radius 1 mm. The enclosed charge is the result of part a. 4. Given the surface charge density, ?s = 2 ?C/m2, in the region ? < 0.2 m, z = 0, and is zero elsewhere, find E at: a) PA(? = 0, z = 0.5) b) With z at -0.5 m

          Phys 321 (Electromagnetism)
Assignment 1

1. Point charges of 120 nC are located at A(0, 0, 1) and B(0, 0, -1) in free space.
a) Find E at P (0.5, 0, 0), b) What single charge at the origin would provide the identical field strength?

2. Charges of 20 n C and -20 n C are located at (3,0,0) and (-3,0,0), respectively.
Let ? = ?0. Determine |E| at P(0,y,0)

3. Volume charge density is located in free space as ?v = 2e^-1000r nC/m^3 for
0 < r < 1 mm, and ?v = 0 elsewhere.
a. Find the total charge enclosed by the spherical surface r = 1 mm.
b. By using Gauss's law, calculate the value of Dr on the surface r = 1 mm: The gaussian surface is a spherical shell of radius 1 mm. The enclosed charge is the result of part a.

4. Given the surface charge density, ?s = 2 ?C/m2, in the region ? < 0.2 m, z = 0, and
is zero elsewhere, find E at:
a) PA(? = 0, z = 0.5) b) With z at -0.5 m

Phys 321 (Electromagnetism)
Assignment 1

1. Point charges of 120 nC are located at A(0, 0, 1) and B(0, 0, -1) in free space.
a) Find E at P (0.5, 0, 0), b) What single charge at the origin would provide the identical field strength?

2. Charges of 20 n C and -20 n C are located at (3,0,0) and (-3,0,0), respectively.
Let ? = ?0. Determine |E| at P(0,y,0)

3. Volume charge density is located in free space as ?v = 2e^-1000r nC/m^3 for
0 < r < 1 mm, and ?v = 0 elsewhere.
a. Find the total charge enclosed by the spherical surface r = 1 mm.
b. By using Gauss's law, calculate the value of Dr on the surface r = 1 mm: The gaussian surface is a spherical shell of radius 1 mm. The enclosed charge is the result of part a.

4. Given the surface charge density, ?s = 2 ?C/m2, in the region ? < 0.2 m, z = 0, and
is zero elsewhere, find E at:
a) PA(? = 0, z = 0.5) b) With z at -0.5 m

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