Understanding Kirchoff's Law and Solving Circuit Problems

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Homework Help Overview

The discussion revolves around applying Kirchhoff's Law to calculate current in a circuit, specifically focusing on the relationship between currents I1, I2, and I3, and the impact of voltage sources and resistances in the circuit analysis.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of Kirchhoff's Voltage Law (KVL) and the importance of current direction in circuit analysis. Questions arise regarding the correct interpretation of voltage changes across components based on current flow.

Discussion Status

Participants are actively engaging in clarifying the application of KVL and the implications of current direction on voltage calculations. Some guidance has been offered regarding the need to consider the direction of currents when applying KVL, but no consensus has been reached on the specific calculations.

Contextual Notes

There is a mention of a specific voltage source and resistance values, but the exact values and configurations of the circuit elements are not fully detailed, which may affect the analysis. Participants are also reflecting on their understanding of how to avoid mistakes in future applications of Kirchhoff's Law.

Pochen Liu
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Homework Statement


upload_2018-11-5_12-29-56.png

How do I calculate the current I3?

Homework Equations


I know that I1 = I2 + I3
and that I2 = 0.4

The Attempt at a Solution


So we have a voltage source of 3.7V I would've thought that the equation for a clockwise circuit be
0.4R2 - 3.7 - 200I3 = 0 which gives me an answer of -0.0183 when it should be 0.0187

How am I using the law wrong and how can I prevent doing so in the future?
 

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Pochen Liu said:
So we have a voltage source of 3.7V I would've thought that the equation for a clockwise circuit be
0.4R2 - 3.7 - 200I3 = 0 which gives me an answer of -0.0183 when it should be 0.0187

How am I using the law wrong and how can I prevent doing so in the future?
You need to pay attention to the direction of the currents as you do your "KVL walk" around the circuit. For example, ##I_3## is flowing down through ##R_3##, so as you "walk over" ##R_3## going clockwise around the circuit you'll see a rise in potential.
 
gneill said:
You need to pay attention to the direction of the currents as you do your "KVL walk" around the circuit. For example, ##I_3## is flowing down through ##R_3##, so as you "walk over" ##R_3## going clockwise around the circuit you'll see a rise in potential.
Is this because if I go 'walk over' instead of using the voltage it will add? since it's coming from the other direction, therefore I need to change it's mathematical sign around right?
 
Pochen Liu said:
Is this because if I go 'walk over' instead of using the voltage it will add? since it's coming from the other direction, therefore I need to change it's mathematical sign around right?
Right, you need to account for the current directions. If you "walk" in the same direction of the current you'll see a potential drop across the resistor. If you "walk" against the direction of the current you'll see a potential rise.
 
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