Combining Proportionality Statements

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SUMMARY

The discussion centers on combining proportionality statements related to the variable R, specifically R∝(1/d²) and R∝l. The correct combined statement is R∝(l/d²), which was confirmed by a participant. This solution highlights the relationship between R, distance (d), and length (l) in a straightforward manner, demonstrating that the problem is more about logical reasoning than complex physics concepts.

PREREQUISITES
  • Understanding of proportionality in mathematical expressions
  • Basic knowledge of variables and their relationships
  • Familiarity with the concepts of distance and length in physics
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Study the principles of proportionality in physics
  • Explore the implications of R∝(1/d²) in real-world applications
  • Investigate how to derive combined proportionality statements
  • Learn about dimensional analysis and its relevance in physics problems
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Students studying physics, particularly those tackling problems involving proportional relationships, as well as educators looking for examples of combining mathematical statements in teaching contexts.

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Homework Statement



Combine the proportionality statements for R and d and R and l to form one statement relating R, d, and l.

Homework Equations



I already know that R∝(1/d squared) and R∝l

The Attempt at a Solution



I thought it was R∝ (l/d squared), but that seems too easy lol.


Please help n_n
 
Last edited:
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Hello qswdefrg,

Welcome to Physics Forums!
qswdefrg said:
I already know that R∝(1/d squared) and R∝l

The Attempt at a Solution



I thought it was R∝ (l/d squared), but that seems too easy lol.
If by that you mean Rl/(d2), then it certainly sounds reasonable to me. :approve:
 
So it turns out I was right after all! And I finished the assignment.

...

I just realized now that this wasn't a physics problem at all; just pure common sense ;___;
 

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