Potential Divider Equation (Rearranging)

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SUMMARY

The discussion focuses on rearranging the potential divider equation, specifically to isolate R2. The formula in question is Vout = Vin x R2/(R1 + R2). Participants emphasize the importance of maintaining equality in equations while manipulating variables. A suggested approach includes multiplying both sides by (R1 + R2) and collecting terms to isolate R2 effectively. This method provides a clear pathway to derive R2 when Vout, Vin, and R1 are known.

PREREQUISITES
  • Understanding of basic algebraic manipulation
  • Familiarity with electrical concepts, specifically potential dividers
  • Knowledge of variables and constants in equations
  • Ability to interpret and rearrange formulas
NEXT STEPS
  • Practice rearranging the potential divider equation for different variables
  • Explore other applications of potential dividers in circuit design
  • Learn about the implications of varying R1 and R2 on Vout
  • Study the concept of voltage division in series circuits
USEFUL FOR

Students learning electrical engineering, hobbyists working with circuits, and anyone needing to understand or apply potential divider principles in practical scenarios.

rindishy
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Hi.

I'm currently learning about potential dividers and need some help with rearranging the formula.

I've managed to rearrange it to make Vin and R1 the subject, but I'm having trouble rearranging for R2.

Can someone help? My maths isn't great, so an explanation would be great. Thanks.

The formula is:

Vout = Vin x R2/(R1 + R2)
 
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What were you wanting from the rearrangement? You've omitted Vout. You can't be trying to eliminate it as a variable.
 
I want to be able to work out R2. So if for example I had a question where I was given Vout, Vin and R1, but not the value of resistance of R2.

i.e.

R2 =
 
Okay. Remember you HAVE to treat both sides of an equation the same way, whatever you do to one side, you do to the other; and you want R2 in terms of the other three variables. What's a good place to start? How about multiplying both sides by (R1+R2) and collecting terms containing R2 on one side of the equation? Take a stab at it and I'll be right here online for a while --- football games aren't on yet.
 

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