Electric Field & Coulomb's Law Problem

AI Thread Summary
A small 2g plastic ball suspended in a uniform electric field is in equilibrium at a 15-degree angle with the vertical, prompting a calculation of its net charge. The problem involves applying Coulomb's Law and electric force equations, specifically F=qE, to analyze the forces acting on the ball. The user is seeking confirmation on their free-body diagram and the forces involved, particularly in the x-direction, where the electric force and tension are considered. They express confusion about the term "net charge" and whether it refers to the charge of the ball itself. The discussion emphasizes careful problem-solving and the importance of not deviating from the topic at hand.
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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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