Arranging & Combining Equations (problem)

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Homework Help Overview

The discussion revolves around combining and rearranging two equations: P = aR²T⁴ and E = p / bd², with the goal of deriving an expression for a/b. Participants are exploring the relationships between the variables and constants involved.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants express uncertainty about how to begin the problem and question the relationship between the variables P and p. There is a suggestion to divide the equations, but the exact steps and implications of this approach are unclear to some.

Discussion Status

The discussion is ongoing, with participants seeking clarification on variable definitions and exploring potential methods for combining the equations. Some guidance has been offered regarding the initial steps, but no consensus or complete method has emerged yet.

Contextual Notes

There is confusion regarding the notation of the variables, specifically whether little p and big P represent the same quantity. This ambiguity may affect the approach to solving the problem.

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Figured it out!
 
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drsponge said:

Homework Statement



P = aR2T4
and
E = p / bd2

(a and b are constants.)


Homework Equations



If these two equations are combined and rearranged an expression can be derived for a/b:
a / b = Ed2 / R2T4

Show how this has been done, step by step.

The Attempt at a Solution



I have no idea where to begin & I can't find good instruction anywhere on how to handle this.
An obvious first step would be to divide each side of the first equation by the corresponding side of the second equation.
 
drsponge said:

Homework Statement



P = aR2T4
and
E = p / bd2

(a and b are constants.)


Homework Equations



If these two equations are combined and rearranged an expression can be derived for a/b:
a / b = Ed2 / R2T4

Show how this has been done, step by step.

The Attempt at a Solution



I have no idea where to begin & I can't find good instruction anywhere on how to handle this.

Are little p and big P the same variable? In the final equation they don't appear so I would assume you solve for P in one equation and plug it into the other equation for P.
 
scurty said:
Are little p and big P the same variable? In the final equation they don't appear so I would assume you solve for P in one equation and plug it into the other equation for P.


Sorry they're the same variable.
 
Mark44 said:
An obvious first step would be to divide each side of the first equation by the corresponding side of the second equation.

I don't know how this would go though? Divide both sides by P / bd2 to give bd2 = aR2T4 / p / bd2?
 

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