Please Note: It may not always be possible to include the necessary special characters, superscripts, subscripts, etc. in e-mail responses to this group of exercises. We suggest that you discuss this matter with your professor/class and decide upon a system for indicating such characters. You may cut/paste some characters and/or Greek letters from Microsoft Word, using the Insert menu. Alternatively, we suggest that you agree upon abbreviations for or spell out symbols, Greek letters, or characters and indicate superscripts and subscripts by using "sup", "sub", or up/down carats.

Q1 = 3μC Q2 = -2μC Q3 = 4μC Q4 = 2μC

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Determine the following:

1			Components of the force on Q3 due Q1 Need a Hint?
2			Components of the force on Q1 due Q3 Need a Hint?
3			Components of the force on Q2 due Q1 Need a Hint?
4			Components of the force on Q1 due Q2 Need a Hint?
5			Components of the resultant force on Q1 due to Q2 and Q3 Need a Hint?
6			Components of the resultant electric field at (0,0) due to Q2 and Q3 Need a Hint?
7			Components of the position of Q4 so that resultant field at (0,0) due to Q2, Q3 and Q4 is zero Need a Hint?

Consider the point charges and the surfaces shown below

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Q1 = 3 C Q2 = -2 C Q3 = 5 C Q4 = 4 C Q5 = -6 C

8			Flux Φ 1 through the surface S1 Need a Hint?
9			Flux Φ 2 through the surface S2 Need a Hint?
10			Flux Φ 3 through the surface S3 Need a Hint?
11			Flux Φ 4 through the surface S4 Need a Hint?
12			Flux Φ 5 through the surface S5 Need a Hint?
13			Flux Φ 6 through the surface S6 Need a Hint?

A cube which has 2 meter edges is oriented with faces parallel to the xy, xz, and yz coordinate planes. It is entirely in the positive octant of space with one corner at the origin. There is an electric field given by E_x = (x-1), E_y = 0, and E_z = 0 in SI units.

14			Flux through the face in the xy plane Need a Hint?
15			Flux through the face in the xz plane Need a Hint?
16			Flux through the face in the yz plane Need a Hint?
17			Flux through the face parallel to the xy plane Need a Hint?
18			Flux through the face parallel to the xz plane Need a Hint?
19			Flux through the face parallel to the yz plane Need a Hint?
20			Total flux out of the cube Need a Hint?
21			Charge inside the cube Need a Hint?

A spherical conducting shell with a 2 m inner and a 4 m outer radius carries a net charge of 5 C. A 2 C point charge is at the center. Determine the following:

22			Electric field in terms of r for r < 2 m Need a Hint?
23			Electric field in terms of r for 2 m < r < 4 m Need a Hint?
24			Electric field in terms of r for r > 4 m Need a Hint?
25			Charge density on the inner surface of the conductor Need a Hint?
26			Charge density on the outer surface of the conductor Need a Hint?