Solving for Current in Resistors | Voltage 40.7 V | A and B Points

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Homework Help Overview

The problem involves calculating the current in a circuit with multiple resistors when a voltage of 40.7 V is applied between two points, A and B. The circuit includes resistors of various values, and the original poster attempts to find the equivalent resistance and current through each resistor.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the method for calculating equivalent resistance, with some attempting to break down the circuit into simpler components. Questions arise regarding the clarity of the circuit diagram and the accuracy of the original poster's calculations.

Discussion Status

Some participants provide guidance on calculating equivalent resistance and suggest methods for determining the current. There is an ongoing exploration of different interpretations of the circuit layout, and the discussion is active with attempts to clarify the original poster's description.

Contextual Notes

Participants note the difficulty in visualizing the circuit due to the lack of a clear diagram, which may affect the understanding of the problem setup. There are also indications of potential misunderstandings in the calculations presented by the original poster.

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Homework Statement


f a voltage of 40.7 V is applied between points a and b, find the current in each resistor.

The drawing looks like this (idk how to add a picture here) A-[ ]-/\/-[ ]-B In between brackets (space at top and bottom are resistors)... top of the first (A) is 12, bottom 6, middle there is one (designated by /\/) at 5. On top and bottom of B are 4 and 8 respectively.

Homework Equations





The Attempt at a Solution

First question is Find the equivalent resistance between point a and b. So I tried to break them down and do Rab (hypothetically) as 1/r1 + 1/r2 so 1/12 + 1/6 = .25 then I made a Rcd (hypothetically) and did 1/r4 + 1/r5 which is 1/4 + 1/8 = .375 then I added R3 to get the total R which would be +5 so answer would be 5.625 This was marked incorrect. Then it says if a voltage 40.7 is applied b/t a and B find current in each resistor. There I am completely lost but I attempted something random and got of course a wrong answer.
 
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I can't follow your description of the diagram. If you can scan one in, you can attach it to your message. Or post it to a site like photobucket.com and give us a link. Some are putting (IMG) and (/IMG), with square brackets instead of round, around the link so it shows up as an image in the post.

Perhaps you could just describe it better. The current goes through the 12 ohm resister . . .
 
http://www.webassign.net/sercp/p18-18alt.gif

p18-18alt.gif
 
Last edited by a moderator:
Ehhh fail wrong one sorry... 1 second.
 
1zzken7.gif
 
Hi,

you have to calculate for the 12 and 6 Ohm the following:

1/12 + 1/6 = 1/r_1 so r_1 = 6*12/(6 + 12) = 4 = 1/0.25.

So 0.25 is wrong. Do the same for 1/4 + 1/8 = 1/r_3 -> r_3.
r_2 = 5 Ohm.

So R = r_1 + r_2 + r_3.
Now you have I = U/R (between a and b) with U = 40.7 V.
Try to figure out the other currents by yourself.
 

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