3 A 6A

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I need some help solving this problem.

 

I need to find the magnitude and direction of the current in this photo.

 

 

 

The image depicts a node with arrows indicating current flow in an electrical circuit. It represents a typical problem in circuit analysis where current at a junction is analyzed to apply Kirchhoff’s Current Law (KCL). Here are the details:

- There are four arrows representing currents:
  - A 3A current entering the node.
  - A 2A current entering the node.
  - A 6A current exiting the node.
  - A 4A current exiting the node.
  
- There is a question mark at one of the arrows, indicating the unknown current, for which a value needs to be found.

To solve this using KCL, which states that the total current entering a junction equals the total current leaving the junction, you can set up the equation:

\[ 3A + 2A + ? = 6A + 4A \]

The unknown current needs to be calculated to satisfy this equation.
Transcribed Image Text:The image depicts a node with arrows indicating current flow in an electrical circuit. It represents a typical problem in circuit analysis where current at a junction is analyzed to apply Kirchhoff’s Current Law (KCL). Here are the details: - There are four arrows representing currents: - A 3A current entering the node. - A 2A current entering the node. - A 6A current exiting the node. - A 4A current exiting the node. - There is a question mark at one of the arrows, indicating the unknown current, for which a value needs to be found. To solve this using KCL, which states that the total current entering a junction equals the total current leaving the junction, you can set up the equation: \[ 3A + 2A + ? = 6A + 4A \] The unknown current needs to be calculated to satisfy this equation.
Expert Solution
Step 1

According to Kirchhoff's current rule total current leaving a junction is equal to total current entering into a junction.

The total current entering, Ientering=3 A+4 A=7 A

Total current leaving, Ileaving=6A+2A=8A

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