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

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To find the current in each resistor with a voltage of 40.7 V applied between points A and B, the first step is to calculate the equivalent resistance. The resistors of 12 ohms and 6 ohms in parallel yield an equivalent resistance of 4 ohms. Adding the 5-ohm resistor in series gives a total resistance of 9 ohms. Using Ohm's law (I = U/R), the total current can then be calculated, and further analysis can determine the current through each individual resistor. Clearer diagram descriptions or images may help in visualizing the circuit layout for accurate calculations.
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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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