Star-mesh transform

<h2 id="special-cases">Special cases</h2>
<p>When <i>N</i> is:
</p>
<ol><li>For a single dangling resistor, the transform eliminates the resistor.</li>
<li>For two resistors, the "star" is simply the two resistors in series, and the transform yields a single equivalent resistor.</li>
<li>The special case of three resistors is better known as the <a href="/facts/Y-%25CE%2594_transform/9kml9w92">Y-Δ transform</a>. Since the result also has three resistors, this transform has an inverse Δ-Y transform.</li></ol>
<h2 id="see-also">See also</h2>
<ul><li><a href="/facts/Topology_(electrical_circuits)/rEeoJRC9">Topology of electrical circuits</a></li>
<li><a href="/facts/Network_analysis_(electrical_circuits)/IjmVqbG8">Network analysis (electrical circuits)</a></li></ul>

<ul><li>van Lier, M.; Otten, R. (March 1973). "Planarization by transformation". <i>IEEE Transactions on Circuit Theory</i>. 20 (2): 169–171. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1109%2FTCT.1973.1083633">10.1109/TCT.1973.1083633</a>.</li>
<li>Bedrosian, S. (December 1961). "Converse of the Star-Mesh Transformation". <i>IRE Transactions on Circuit Theory</i>. 8 (4): 491–493. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1109%2FTCT.1961.1086832">10.1109/TCT.1961.1086832</a>.</li>
<li>E.B. Curtis, D. Ingerman, J.A. Morrow. Circular planar graphs and resistor networks. Linear Algebra and its Applications. Volume 283, Issues 1–3, 1 November 1998, pp. 115–150| doi = <a href="https://doi.org/10.1016/S0024-3795(98)10087-3">https://doi.org/10.1016/S0024-3795(98)10087-3</a>.</li></ul>

Star-mesh transform open-in-new

Star-mesh transform