Finding current magnitudes and directions using Kirchhoff's rules

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this is a rough diagram of the picture, please note the direction of the current. that is what is throwing me off right now. The answer I get for I3 is 8.2 ohms and that seems a bit unrealistic to me.
the question is
a) what is the magnitude of the current in each resistor
b) what are the directions of the current in each resistor

thanks in advance!
 
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  • Circuit schematic, rotated, with two batteries (E1 = 9.0 V, E2 = 12.0 V) and three resistors R1 = 25 Ω, R2 = 18 Ω and R3 = 35 Ω, with currents I1, I2 and I3 labelled and loop points a through f marked.
    IMG_0001.jpg
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Last edited:
emuhlay08 said:
____________R1=25 ohms_________
I I
---- E1=9v I
-- I
I I
________________R2=18ohm______I
I I
---- I
-- E2=12V R3=35ohms
I I
I______________________________ I


this is a rough diagram of the picture, please note the direction of the current. that is what is throwing me off right now. The answer I get for I3 is 8.2 ohms and that seems a bit unrealistic to me.
the question is
a) what is the magnitude of the current in each resistor
b) what are the directions of the current in each resistor

thanks in advance!

Well, apart from the picture being impossible to interpret, the answer simply cannot be 8.2 ohm as currents are measured in ampere.

Otherwise it should be a simple matter of applying Kirchoff's laws. Assume a current for each resistor and see where it takes you. If you write down how you arrive at your result, it will be easier to see if and where you go wrong.
 
Orodruin said:
Well, apart from the picture being impossible to interpret, the answer simply cannot be 8.2 ohm as currents are measured in ampere.

Otherwise it should be a simple matter of applying Kirchoff's laws. Assume a current for each resistor and see where it takes you. If you write down how you arrive at your result, it will be easier to see if and where you go wrong.

I meant Amps, sorry. Even though, it seems like a very large number. Also, I uploaded a picture of the circuit so it can be interpreted.
 
Orodruin said:
So, what relations have you obtained from Kirchoff's laws?

This is what I have so far
 
Attachments
  • Handwritten work on paper solving a circuit with Kirchhoff's rules: eq1 I1 = I2 + I3, loop equations 25I1 + 18I2 = 9V and -35I3 - 18I2 = 12V, with a note 25(I2 + I3) + 18I2 = 9.
    IMG_0005.jpg
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  • Handwritten mesh-current algebra on paper, rotated sideways: 2S(I2 + I3) + 18I2 = 9, -3S(4I2 + 2I3 = 9) with 4I2 + (3.5I3 + 18I2 = 12V), a row combining -150I2 - 77I3 = 51V, and a final line 101I3 = 831V giving I3 = 8.2 A.
    IMG_0003.jpg
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You may want to reconsider your application of the current law. Which currents go into the point and which go out?