Find electric field separating two charged masses suspended on strings

6 replies · 2K views · last reply
jay_chay22
Messages
5
Reaction score
0
Homework Statement
Two uniform opposite charge with a mass of 2g. has a charge of 5x10^-8 coulomb .The length of the string is 10 cm and the angle is 10°. Find the electric field ?( The answer is 4.43 x 10^5 N/C.)
Relevant Equations
F= qe
Please help me on this question
I have tried to do it many times but I end up getting the wrong answers.
I have show my work what I have done.
 
Attachments
  • Diagram of two small spheres hanging from strings from a common ceiling point, each at angle theta from the vertical, with a negative charge on the left and a positive charge on the right, and horizontal arrows labelled E pointing right beneath them.
    ss.png
    3.2 KB · Views: 215
  • Handwritten derivation: T sin 10° = qE (1), T cos 10° = mg (2), dividing (1) by (2) gives tan 10° = qE/mg, so E = mg tan 10°/q, then E = 2x10^-3 x 9.8 x tan 10° / 5x10^-8, ending with E = 4.99x10^4 N/C.
    pic 1.png
    37.4 KB · Views: 206
Last edited:
Hello jay. By forum rules you'll need to show us exactly what you've tried before we can offer help. We need to see what your current understanding of the problem is.
 
gneill said:
Hello jay. By forum rules you'll need to show us exactly what you've tried before we can offer help. We need to see what your current understanding of the problem is.
Can you check it for me what I went wrong ?
This is what I get and it is a wrong answer.
 
Attachments
  • Handwritten derivation: T sin 10° = qE (1), T cos 10° = mg (2), dividing gives tan 10° = qE/mg, so E = mg tan 10°/q, then E = 2x10^-3 x 9.8 x tan 10° / 5x10^-8 and a final value of 4.99x10^4 N/C.
    pic 1.png
    37.4 KB · Views: 203
Last edited:
It would appear that you've not accounted for the interaction between the two charges. One is positive and the other negative, so...
 
gneill said:
It would appear that you've not accounted for the interaction between the two charges. One is positive and the other negative, so...
So can you tell me more information on how to find the answer ?
 
jay_chay22 said:
So can you tell me more information on how to find the answer ?
What is the equation for the force between two charged particles? For this problem, in which direction will it act for each particle?