Zero point in the electric field

Click For Summary
SUMMARY

The discussion focuses on determining the positions of two charges, Q1 = -1 C and Q2 = +3 C, on the x-axis such that the electric field at x = 0 is zero. The solution involves placing Q1 at x = -1.366 and Q2 at x = -2.366, which satisfies the condition for zero electric field. The key takeaway is that while this is one valid configuration, there are infinitely many configurations that can achieve the same result, emphasizing the importance of the ratio of the x-coordinates of the charges.

PREREQUISITES
  • Understanding of electric fields and forces (F = Eq)
  • Familiarity with Coulomb's law (E = kq/r²)
  • Basic knowledge of charge interactions
  • Ability to solve algebraic equations
NEXT STEPS
  • Study the concept of electric field lines and their implications in charge distributions
  • Learn about the superposition principle in electrostatics
  • Explore the effects of different charge configurations on electric fields
  • Investigate the mathematical derivation of electric field equations
USEFUL FOR

Students studying physics, particularly those focusing on electrostatics, educators teaching electric field concepts, and anyone interested in solving problems related to charge interactions and electric fields.

Colts
Messages
76
Reaction score
0

Homework Statement



Find positions on the x-axis for the charges Q1 = -1 C and Q2 = +3 C so that the electric field is zero at x = 0.

Homework Equations



F=Eq
where E=kq/r^2

The Attempt at a Solution


I put q1 and q2 1 meter apart and then found where a third charge would go so the third charge would have a force of zero. My answer for the question is q2 at x=-2.366 and q1 at x=-1.366. Is this right?
 
Physics news on Phys.org
Colts said:

Homework Statement



Find positions on the x-axis for the charges Q1 = -1 C and Q2 = +3 C so that the electric field is zero at x = 0.

Homework Equations



F=Eq
where E=kq/r^2

The Attempt at a Solution


I put q1 and q2 1 meter apart and then found where a third charge would go so the third charge would have a force of zero. My answer for the question is q2 at x=-2.366 and q1 at x=-1.366. Is this right?
Yes, that is one possible answer. (There are an infinite number of sets of possible answers.)

The important thing is the ratio of the two x coordinates.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 10 ·
Replies
10
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
Replies
2
Views
3K
  • · Replies 3 ·
Replies
3
Views
5K