Current and potential difference, simplifying circuit diagrams

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Homework Help Overview

The discussion revolves around analyzing a circuit with multiple resistors, specifically focusing on calculating the current through and potential difference across each resistor. The subject area includes circuit analysis, particularly the concepts of current, potential difference, and the rules for combining resistances in series and parallel configurations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to tabulate the current and potential difference for each resistor, referencing Ohm's Law and formulas for total resistance in series and parallel. Some participants question the clarity of the table presented, specifically the meaning of the numbers in parentheses. Others suggest verifying the formulas against textbook definitions.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the original poster's table and the correct application of circuit formulas. While some values have been calculated, there remains uncertainty regarding the last three resistors, indicating a need for further exploration and guidance.

Contextual Notes

The original poster has provided specific resistor values and their corresponding currents and potential differences for some resistors, but has not yet resolved the values for the remaining resistors. There is an indication of confusion regarding the presentation of the data in the table format.

verytired
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[SOLVED] current and potential difference, simplifying circuit diagrams

Consider the circuit shown in Figure P31.69, in which RA = 25 and RB = 7 . Tabulate the current through, and the potential difference across, each resistor.




Figure P31.69


resistor current (A) potential difference (V)
4 2 8
RA (25 ) 16/25 16
6 ?? ??
RB (7 ) ?? ??
24 ?? ??

I'm having a lot of trouble figuring this out. I know this:

V=IR

For parallel, Rtotal = R1 + R2 + ...
For series, Rtotal = (1/R1 + 1/R2+...) ^-1

Any help would be great.
 

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please clarify the meaning of your table. Specifically what do the numbers in parenthes mean?
 
verytired said:
For parallel, Rtotal = R1 + R2 + ...
For series, Rtotal = (1/R1 + 1/R2+...) ^-1

Check the formula from your textbook.
 
Sorry to be unclear about the table, I didn't realize it would show up like that.
The resistor is given in the attached picture. I'm suppose to find the current and potential difference at each resistor. I've found them for the first two resistors, but I'm having trouble with the last three.

resistor --- current (A) ---- potential difference (V)
4ohms ------ 2A --------------- 8V

25ohms --- 16/25A ------------- 16V

6ohms ------- ?? --------------- ??

7ohms ------- ?? --------------- ??

24ohms ------ ?? --------------- ??
 

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