Sometimes even though a circuit does not full-fill both the requirements the circuit can be converted into an equivalent  circuit which full-fills both of the above requirements and the process of conversion is done as following: Note: It is easier to apply Millman’s theorem to a circuit if all the branches contains same type of source either voltage or current. This is important to keep in mind since Millman’s Theorem doesn’t provide as direct an indication of “wrong” current direction as does the Branch Current or Mesh Current methods. It also is easy in the sense that it doesn’t require the use of simultaneous equations. To solve for resistor voltage drops, the Millman voltage (across the parallel network) must be compared against the voltage source within each branch, using the principle of voltages adding in series to determine the magnitude and polarity of the voltage across each resistor: To solve for branch currents, each resistor voltage drop can be divided by its respective resistance (I=E/R): The direction of current through each resistor is determined by the polarity across each resistor, not by the polarity across each battery, as the current can be forced back through a battery, as is the case with B3 in the example circuit. As per Millman’s theorem, the current of the source is the sum of individual source currents. Suppose there are n numbers of current sources connected in parallel. And, even in cases where Millman’s Theorem can be applied, the solution of individual resistor voltage drops can be a bit daunting to some, the Millman’s Theorem equation only providing a single figure for branch voltage. The equivalent resistance of the circuit is the internal resistance of the current source. Millman’s Theorem states that when there are several voltage sources connected in parallel, each in series with a resistance (internal resistance Ri), the array can be replaced by a single voltage source (VM) in series with an equivalent resistance (RM). Also, we can express in terms of current sources. The total voltage or potential difference between any two terminals in a circuit is equal to: i = the current flowing through each branch. Using Millman’s Theorem we can easily find the Norton and Thevenin equivalent circuit of a network  so, Millman’s Theorem  is also some times called the combination of Norton’s and Thevenin’s theorem. (adsbygoogle = window.adsbygoogle || []).push({}); var _wau = _wau || []; _wau.push(["dynamic", "12vbhgb58f", "wb2", "ffffffc4302b", "big"]); Star Delta Conversion and Delta Star Conversion, Norton’s Theorem – Norton’s Current and Resistance, Kirchhoff’s Current Law and Kirchhoff’s Voltage Law, Thevenin’s Theorem Thevenin’s Voltage and Resistance, Superposition Theorem Statement and Theory, Reciprocity Theorem Statement Explanation and Examples, Maxwell’s Loop Current Method or Mesh Analysis, Millman’s Theorem to Voltage and Current Sources, Nodal Analysis Method with Example of Nodal Analysis, Ideal Voltage Source and Ideal Current Source, Independent and Dependent Current and Voltage Sources, Electrical Source Conversion (Voltage and Current Sources), Voltage Division Rule and Current Division Rule, Millman's Theorem to Voltage and Current Sources, Transformer Oil or Insulating Oil and its Characters, Daniel Cell Construction and Working Principle, Induction Type Watt Hour Meter or Energy Meter, Accessories of Overhead Transmission Line.