A circuit with multiple sources of voltage

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SUMMARY

The discussion focuses on solving a circuit with multiple voltage sources, specifically addressing the marking of currents and the formulation of a system of equations. The equations presented are: ε1 = i1 r1 + (i1 + i2 + i3) R, ε2 = i2 r2 + (i1 + i2 + i3) R, and ε3 = i3 r3 + (i1 + i2 + i3) R. The solution provided is confirmed as valid by participants in the discussion.

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  • Understanding of circuit analysis principles
  • Familiarity with Ohm's Law
  • Knowledge of Kirchhoff's Voltage Law
  • Ability to solve systems of linear equations
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  • Learn about Thevenin's and Norton's theorems for circuit simplification
  • Explore simulation tools like LTspice for circuit validation
  • Investigate the impact of varying resistance and voltage sources on circuit behavior
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Electrical engineering students, circuit designers, and anyone involved in analyzing and solving complex electrical circuits.

ChessEnthusiast
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Homework Statement


Solve this circuit:
a) Mark all currents
b) Write a system of equations allowing you to solve for the currents2. The attempt at a solution
Part a) in attachment.
Part b)
<br /> \epsilon_1 = i_1 r_1 + (i_1 + i_2 + i_3) R
\epsilon_2 = i_2 r_2 + (i_1 + i_2 + i_3) R
\epsilon_3 = i_3 r_3 + (i_1 + i_2 + i_3) R <br />

Is this solution valid?
 

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ChessEnthusiast said:

Homework Statement


Solve this circuit:
a) Mark all currents
b) Write a system of equations allowing you to solve for the currents2. The attempt at a solution
Part a) in attachment.
Part b)
<br /> \epsilon_1 = i_1 r_1 + (i_1 + i_2 + i_3) R
\epsilon_2 = i_2 r_2 + (i_1 + i_2 + i_3) R
\epsilon_3 = i_3 r_3 + (i_1 + i_2 + i_3) R<br />

Is this solution valid?
Looks right.
 
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That will work. Your equations look fine.
 
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