Millman's Theorem is a method used in electrical engineering to simplify the analysis of circuits with multiple voltage sources and resistances in parallel. It's particularly helpful when you're dealing with parallel branches that contain voltage sources and resistors.
Millmanβs Theorem Statement:
The theorem provides a way to find the equivalent voltage across a parallel network of voltage sources and resistors. The statement is:
The voltage across the terminals of a parallel network of voltage sources and resistors is given by:
\[
V_{eq} = \frac{\sum \left( \frac{V_i}{R_i} \right)}{\sum \left( \frac{1}{R_i} \right)}
\]
Where:
- \( V_{eq} \) is the equivalent voltage across the terminals of the network.
- \( V_i \) is the voltage of the \( i \)-th voltage source.
- \( R_i \) is the resistance in the branch with the \( i \)-th voltage source.
This equation assumes all voltage sources are connected in parallel with their respective resistances.
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As for a
PDF version of the theorem statement, you can usually find it in textbooks or online educational resources, such as:
- Electrical Engineering textbooks
- Online university lecture notes
If you'd like, I can help you find a specific resource or generate a PDF with this information.