Circuit question: Find size and direction of current at P

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Homework Help Overview

The discussion revolves around a circuit problem involving the calculation of current at a specific point, labeled P. The participants are exploring relationships between different currents in the circuit and applying Kirchhoff's laws to set up equations based on their assumptions about current directions.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to establish equations based on assumed current directions and are questioning the validity of their setups. There is a focus on using simultaneous equations to solve for unknown currents, with some participants expressing uncertainty about their results.

Discussion Status

Some participants have provided guidance on how to approach the problem by suggesting the need to assume directions for the currents and to write additional equations. There is an ongoing exploration of the implications of these assumptions, particularly regarding the possibility of obtaining negative values for current.

Contextual Notes

Participants are discussing the implications of their assumptions about current directions and the resulting equations. There is a recognition that incorrect assumptions may lead to negative current values, which are being interpreted as indicators of direction rather than errors in calculation.

Faris A
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Homework Statement


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Homework Equations


I = I1 + I2 ... + In
R = R1 + R2 ... + Rn
1/R = 1/R1 + 1/R2 ... + 1/Rn

The Attempt at a Solution


Let I1 = I2 + I3 where I1 is the current on the top wire, I2 the current on the middle wire and I3 the current on the bottom wire.

4 = 10I2 + 20I1
//This is what I started trying but I can kind of tell that this is wrong
 
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Faris A said:
4 = 10I2 + 20I1
//This is what I started trying but I can kind of tell that this is wrong
If you assume I1 to be clockwise and I2 to be from right to left, this equation is correct. Assume a direction for I3 and write another equation. Your directions may be wrong, but that will just give you a negative value for the current.
 
cnh1995 said:
If you assume I1 to be clockwise and I2 to be from right to left, this equation is correct. Assume a direction for I3 and write another equation. Your directions may be wrong, but that will just give you a negative value for the current.

If 4 = 20I1 + 10I2 is correct then 12 = 10I3 + 10I2 is correct
I1 = I2 + I3
4 = 20(I2 + I3) + 10I2
4 = 20I3 + 30I2
12 = 10I3 + 10I2 can be made into 24 = 20I3 + 20I2
Using simultaneous equations: 20 = -10I2
I2 = -2

But is this correct?
 
Faris A said:
If 4 = 20I1 + 10I2 is correct then 12 = 10I3 + 10I2 is correct
I1 = I2 + I3
4 = 20(I2 + I3) + 10I2
4 = 20I3 + 30I2
12 = 10I3 + 10I2 can be made into 24 = 20I3 + 20I2
Using simultaneous equations: 20 = -10I2
I2 = -2

But is this correct?
dw I figured out where I was going wrong
 

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