What is the proof of the Σqᵢcosθᵢ = constant theorem for colinear charges?

  • Context: Undergrad 
  • Thread starter Thread starter Ajinkya78910
  • Start date Start date
Ajinkya78910
Messages
1
Reaction score
0
What is the proof of the theorem for n colinear charges,
Σqᵢcosθᵢ = const. when θis measured in same sense?
 
Physics news on Phys.org
Have you tried it? You can set this up geometrically and then solve. What do you get stuck on?

If you know any complex analysis there is even easier way.
 

Similar threads

Undergrad Fundamental theorem of arithmetic from Jordan-Hölder theorem
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Usage of inverse function theorem in Folland
  • · Replies 11 ·
Replies
11
Views
2K
High School I've been trying to understand the proof for the binomial theorem
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Missing proof of the Shell theorem in General Relativity
  • · Replies 34 ·
2
Replies
34
Views
2K
Undergrad Regarding dominated convergence theorem in Folland
  • · Replies 5 ·
Replies
5
Views
4K
Proving well ordering principle from Peano Axioms
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Use of induction in the proof of the Chinese Remainder Theorem
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad What is the difference between these two power series theorems?
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Uniqueness of reduced row echelon form (proof verification)
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Uniform convergence and derivatives -- difference between two theorems?
  • · Replies 1 ·
Replies
1
Views
3K