Finding resistance of single resistor

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SUMMARY

The discussion centers on calculating the resistance of a second resistor in a parallel circuit where the total resistance is 6.0 ohms and one resistor is 10 ohms. The correct approach utilizes the formula for total resistance in parallel circuits: 1/RT = 1/R1 + 1/R2. The solution reveals that the second resistor's value is 15 ohms, confirmed through algebraic manipulation rather than trial and error.

PREREQUISITES
  • Understanding of Ohm's Law
  • Familiarity with parallel resistor circuits
  • Basic algebra skills
  • Knowledge of resistance calculations
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  • Study the derivation of the parallel resistance formula
  • Learn about series and parallel circuits in electrical engineering
  • Explore practical applications of resistors in circuit design
  • Practice solving resistor problems using different values
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Students in electrical engineering, physics enthusiasts, and anyone looking to improve their understanding of circuit analysis and resistor calculations.

gungo
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Homework Statement


Two resistors are connected in parallel. The total resistance of the combination is 6.0 ohms. If one of the resistors is 10 ohms, what is the value of the other?

Homework Equations


1/RT= 1/R1+1/R2

The Attempt at a Solution


I got 15 just by doing trial and error, and I'm pretty sure it's the right answer but how would you solve this using the equation?
 
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gungo said:
I got 15 just by doing trial and error, and I'm pretty sure it's the right answer but how would you solve this using the equation?
Via algebra, of course. What have you tried?
 
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gneill said:
Via algebra, of course. What have you tried?
Whoops I forgot about using algebra. I got it, thanks!
 

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