How Accurate are My Loop Analysis Equations and Calculated Voltage?

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SUMMARY

The forum discussion focuses on the accuracy of loop analysis equations in electrical circuits, specifically using Kirchhoff's Voltage Law (KVL). The user defined four loops with currents i1, i2, i3, and i4, leading to equations that resulted in a calculated voltage V0 of 4.71V. The primary concern raised was the correctness of the loop equations, particularly regarding the current source between loops 1 and 2. The community emphasized verifying the current source value to ensure accurate calculations.

PREREQUISITES
  • Understanding of Kirchhoff's Voltage Law (KVL)
  • Familiarity with loop analysis in circuit theory
  • Basic knowledge of electrical current and voltage relationships
  • Ability to solve linear equations
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  • Review the principles of Kirchhoff's Voltage Law (KVL)
  • Study loop analysis techniques in electrical engineering
  • Learn how to verify current sources in circuit analysis
  • Practice solving circuit equations with multiple loops
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Electrical engineering students, circuit designers, and anyone involved in analyzing and solving electrical circuits using loop analysis methods.

ee_ess_ee-kid
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Homework Statement



http://i.imgur.com/pVIMw.png

Homework Equations



KVL

The Attempt at a Solution



I called the top left loop i1, the top right loop i2, the bottom right loop i3, and the bottom left loop i4. I have all of these currents going clockwise in my work. An attempt to do loop analysis has left me with the following equations:

i4=(2Vx)/(1K)
i1-i2=8mA
i3=-4mA
-i2(4kΩ)=Vx

Upon solving for V0, I got V0=4.71V. Is this answer correct? If not, are my loop equations correct?

Please let me know if you guys want to see more work. Thanks!
 
Last edited by a moderator:
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ee_ess_ee-kid said:
i1-i2=8mA


Check the value of the current source between loops 1 and 2.
 

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