How many arbitrary currents are needed to solve for the currents in a circuit?

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Homework Help Overview

The discussion revolves around determining the number of arbitrary currents needed to solve for unknown currents in single or multi-loop circuits. The original poster expresses confusion about whether to define a current for each loop or each voltage source in circuit analysis.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the assignment of currents to branches and the implications of Kirchhoff's laws on the independence of these currents. There is a focus on understanding the relationship between the defined currents and the circuit components.

Discussion Status

Some participants have offered guidance on assigning currents to branches and emphasized the importance of Kirchhoff's laws in circuit analysis. Multiple interpretations of how to approach the problem are being explored, but there is no explicit consensus on the number of currents needed.

Contextual Notes

The original poster's question indicates a lack of clarity regarding the definitions and relationships of currents in circuit analysis, which may be influenced by the complexity of the circuits being studied.

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Homework Statement



I just had a general question for solving for an unknown current(s) in single or multi-loops circuits. How exactly do we know how many arbitrary currents we need to define for solving the for the currents in the circuit? do we define a current for each loop that is present? for each voltage source? this always confuses me when I'm solving problems like these. any help is appreciated.

thanks
 
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You won't go wrong if you first assign each branch its own current. Those currents are not all independent, as they are related by Kirchhoff's law.
 
Doc Al said:
You won't go wrong if you first assign each branch its own current. Those currents are not all independent, as they are related by Kirchhoff's law.

Al is right. Concentrate not on how many currents you worry about, but rather the fact that every circuit analysis problem you get is based on:
(a) V=IR for various components
(b) Kirchoff 1: the total voltage is equal to the sum of the voltages of each component in sequence. (V_T = V_1 + V_2 + ... + V_n)
(c) Kirchoff 2: the total current entering a junction is precisely equal to the total current exiting a junction. (I_in =I_out)

Then brace for epic win on your next circuits problem:grin:
 
Or maybe (a) V=IZ, depending on your level.
 

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