☑️13 - Nodal Analysis involving Voltage Sources (Supernode) 1

In this lesson, we shall learn how to solve circuits problem using nodal analysis considering circuits with voltage sources. In this lesson we shall solve two examples. Steps to solve circuits using nodal analysis 1. Identify reference nodes, label non-referenced nodes and assign current in the circuit. 2. Apply kcl at each non-referenced node to obtain the current equations and ohms law to obtain the node voltages. 3. Solve the equations obtained simultaneously, if the equations obtained are more than two, it is preferred to use cramer's rule or matrix inversion method while you can use method of elimination and substitution for two equations. NB: the number of non-referenced nodes gives an indication of the number of equations you are going to obtain. In addition to these steps, we shall discuss two other cases. 1. If there is a voltage source between the reference node and a nonreference then we simply set the voltage at the nonreference node equal to the voltage of the voltage source. 2. If there is a voltage between two nonreference nodes then they form a single generalized node called a supernode. A supernode is formed by enclosing a voltage source (dependent or independent) between two nonreference nodes and any element in parallel with it. 00:00 - Example 1 11:39 - Example 2 Playlists on various Course 1. Applied Electricity https://www.youtube.com/playlist?list=PLInywrvFyvq7pFsDEDu2-n0f5UOhpqWBD 2. Linear Algebra / Math 151 https://www.youtube.com/playlist?list=PLInywrvFyvq4IE-nW-ikwkZ2v81n31HQX 3. Basic Mechanics https://www.youtube.com/playlist?list=PLInywrvFyvq6FUfAigJ3157kg-nZ020fd 4. Calculus with Analysis / Calculus 1 / Math 152 https://www.youtube.com/playlist?list=PLInywrvFyvq6_G3iA7LHbt5exJgGbp4Ok 5. Differential Equations / Math 251 https://www.youtube.com/playlist?list=PLInywrvFyvq408vWA5OYXShA6rlT51TdS 6. Electric Circuit Theory / Circuit Design https://www.youtube.com/playlist?list=PLInywrvFyvq4sNicTbLBUpgkxrkcs2OGN Make sure to watch till the end. Like, share, and subscribe. Thank you.