Concentric rings and net electric fields

In summary, to find the uniformly distributed charge on the larger ring, use the equation that describes the electric field of a charged ring. Set that equation for each ring and then solve for the charge. The last answer is 13/5, which is negative because the smaller ring is a positive number.
  • #1
MasterWu77
21
0

Homework Statement



The figure below shows two concentric rings, of radii R and R ' = 3.00R, that lie on the same plane. Point P lies on the central z axis, at distance D = 2.00R from the center of the rings. The smaller ring has uniformly distributed charge +Q. What must be the uniformly distributed charge on the larger ring if the net electric field at point P due to the two rings is to be zero?

_____ x Q

<a href="[PLAIN]http://s323.photobucket.com/albums/nn457/MasterWu77/?action=view&current=physics.gif" target="_blank"><img src="http://i323.photobucket.com/albums/nn457/MasterWu77/physics.gif" border="0" alt="physics homework"></a>[/PLAIN]

Homework Equations



E= kqz/ (z^2+R^2)^(3/2)

The Attempt at a Solution



This is my first time here on this site so please bear with me as I'm not too sure how to work things haha. I'm unsure of whether the image i posted will show up or not. but it is basically 2 concentric rings, one small one (R) inside of a bigger one (R') with the radi as described. There is a line (z-axis) with the point P on it that is a distance D away from the rings. The first time I tried the problem I used the wrong formula and missed the question twice. But the last time I tried the problem, I used the equation describes the electrical field of a charged ring. I set that equation for each one of the rings and then set the equations equal to each other since the net electric field is zero. I then solved for the charge compared to the charge of the unknown (larger ring). The last answer I came up with was 13/5. And I set that number negative, because the smaller ring was a positive number so the bigger ring would have to be a negative number to make the net electric field at P = 0.

I feel like I might just missing a small little fact or maybe I'm not thinking about the end correctly. Again, this is my first time so please let me know if I'm doing anything wrong. I have also entered an answer in 3 times and I'm getting scared that I'm running out of tries.

Thanks for your time!
 
Last edited by a moderator:
Physics news on Phys.org
  • #2
Hi MasterWu77,
Welcome to PF.
To check your result, show your calculations. Your approach is correct.
 
  • #3
hi sorry it took me so long to respond. but i looked at the problem and realized my mistake, thanks for your help!
 

1. What are concentric rings?

Concentric rings are a series of circles that share the same center point. In the context of electric fields, they refer to the pattern created by the electric field lines around a charged object.

2. How are concentric rings related to electric fields?

Concentric rings indicate the strength and direction of an electric field around a charged object. The closer the rings are together, the stronger the electric field is at that point.

3. What is the significance of net electric fields?

Net electric fields refer to the overall strength and direction of the electric field at a specific point. It takes into account the contributions of all nearby charged objects and can be used to determine the movement of charged particles.

4. How can I calculate the net electric field at a specific point?

The net electric field can be calculated by adding together the individual electric fields from each charged object at that point. The direction of the net electric field is determined by the vector sum of the individual electric field vectors.

5. What is the relationship between concentric rings and the strength of an electric field?

The distance between the concentric rings indicates the strength of the electric field at that point. The closer the rings are together, the stronger the electric field is and vice versa. Additionally, the number of rings present also indicates the strength of the electric field, with more rings indicating a stronger field.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
11
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
2
Replies
68
Views
5K
  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
7
Views
239
  • Introductory Physics Homework Help
Replies
2
Views
918
  • Introductory Physics Homework Help
Replies
10
Views
1K
  • Introductory Physics Homework Help
Replies
20
Views
3K
  • Introductory Physics Homework Help
Replies
23
Views
1K
Back
Top