Question 2.Q.48: Write the expression for Millman’s equivalent source of n nu......

Write the expression for Millman’s equivalent source of n number of parallel connected voltage sources.

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\overline{{{Z}}}_{\mathrm{eq}}=\left(\frac{\overline{E_1}}{Z_1}+\frac{\overline{E_2}}{Z_2}+\frac{\overline{E_3}}{Z_3}+…+\frac{\overline{E_n}}{Z_n}\right)\overline{Z_{\text{eq}}}

 

\overline{Z} _{\mathrm{eq}}=\frac{1}{{\frac{{1}}{\mathrm{\overline{Z} }_{1}}}+{\frac{\mathrm{ 1}}{\mathrm{\overline{Z} }_{2}}}+\frac{{{{{{1}}}}}}{\overline{Z} _3} +\ldots+{\frac{\ 1}{\mathrm{\overline{Z} }_{n}}}}

where, \overline{E}_{1}, \overline{E}_{2}, \overline{E}_{3}…= Emf of voltage sources in parallel.

\overline{Z_{1}}, \overline{Z_{2}}, \overline{Z_{3}}… = Internal impedance of voltage sources.

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