Net Resistance of Parallel Circuits: Solve It Now!

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Discussion Overview

The discussion revolves around determining the net resistance of three resistors (100 ohms, 250 ohms, and 400 ohms) connected in parallel. Participants are seeking clarification on the calculations involved in solving this problem.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant presents the formula for calculating the total resistance in parallel: 1/Rp = 1/100 + 1/250 + 1/400.
  • Another participant expresses confusion regarding the transition from the formula to the numerical values presented in the calculations.
  • A participant suggests that the arithmetic involved in the first line may be a point of difficulty for others.
  • There is a mention that the answer of 61 ohms is close to the book's answer, which involves multiplying the fractions to find a common denominator.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the clarity of the calculations, as there is confusion about the arithmetic steps involved. Some agree on the final answer being close to the book's answer, but the method to arrive at it remains contested.

Contextual Notes

There are unresolved steps in the arithmetic calculations, and participants express uncertainty about the derivation of specific numerical values from the formula.

kllindsey
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Question: Determine the net resistance of 100 ohms, 250 ohms and 400 ohms connected in a parallel.

I have no clue how to figure this out. I have read and reread the section in my book and it is not helping. Please help.
 
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Well what have you tried so far?
 
1/Rp = 1/100 + 1/250 + 1/400

I know the answer is:

1/Rp = 60 + 24 + 15/6000 ohms
Rp = 6000 ohms/99 = 61 ohms

I just have no clue where these numbers are coming from!
 
Well I haven't a clue how you got from your formula to your second line.

I agree that your answer of 61 is close enough though.

Can you not do the arithemetic involved in your first line?
 
Your answer and the books answer are the same. They just multiply the fractions so there is a common denominator (However odd that denominator is)
 

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