Electric Field & Coulomb's Law Problem

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Homework Help Overview

The problem involves a small plastic ball suspended in a uniform electric field, where the ball is in equilibrium at a specific angle with the vertical. The objective is to determine the net charge on the ball using Coulomb's Law and electric force equations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss drawing free body diagrams (FBD) and the forces acting on the ball, questioning the correctness of their representations. There is uncertainty about the meaning of "net charge on the ball" and whether the equations being used are appropriate for solving for charge.

Discussion Status

Some participants express confidence in their approach but seek confirmation on specific aspects, such as the forces in the x-direction and the interpretation of net charge. Guidance has been offered regarding the need to determine the force of tension in the string.

Contextual Notes

Participants note that the problem is considered challenging and lacks a definitive answer, prompting caution in their reasoning. There is also a mention of a separate, unrelated question that was raised in the thread.

AznBoi
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Homework Statement


A small 2g plastic ball is suspended by a 20 cm long string in a uniform electric field. If the ball is in equilibrium when the string makes a 15 degree angle with the vertical as indicated, what is the net charge on the ball?

Here's the diagram:
http://img295.imageshack.us/img295/7931/prob50diagramsk2.th.png

Homework Equations


Coulumb's Law of electric force equation. F=kq1q2/r^2
Electric force equations. F=qE

The Attempt at a Solution



First I drew a FBD of the ball and the forces acting on it.

http://img164.imageshack.us/img164/3921/prob50fbdzy9.th.png

Did I draw it correctly? I just want to confirm this first. There are only 2 x direction forces acting on it correct? The F_e is equal to q*E?? E being the electric force?

So do I just make T_x=qE and solve for the q? I don't get what they mean by net charge on the ball. Thanks! =D
 
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Can someone tell me if I'm going in the right direction? I think I know how to do the problem, but I just need to know if I'm missing anything. I also don't get what they want when they say "net charge on the ball." Thanks!:smile: Btw, this is an even problem and has no answer. Therefore, I'm being more cautious and careful on this problem.
 
So are the only (x) direction forces acting on the charge Tx going leftwards and the Electric force? The net charge would be the charge of the ball correct? which would be (q)? The equation I'm using is: F_e+T_x=0

F_e=qE so, qE+T_x=0 Solving for q=T_x/E Would (q) be the net charge that the problem is asking for? Can someone please confirm my work? thanks!
 
you are on the right track.--now you need to figure out how to determine the force of T_x.
 
Ja4Coltrane said:
you are on the right track.--now you need to figure out how to determine the force of T_x.
Ok, thanks for the reply! I just solve for (q) right? is that the net charge that they want?
 
sir will u please explain how to find electric potential between two charged spherical shells of radius a and b such that b>a
 
Hi, if you're asking a question which is unrelated to the one above it's best to do so in a new thread to avoid "hijacking" it. The above one is a little old, anyway. And in your question you need to make clear if the 2 shells are concentric; ie. sharing the same centre.

If so, what can you conclude from Gauss law?
 

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