Nodal Analysis Flashcards
_____ ________ provides a general procedure for analyzing circuits using node voltages as the circuit variables.
Nodal analysis
In nodal analysis, the _______ node is commonly referred to as the ground.
reference
Steps to determine node voltages:
- Select a node as the ______________ ______. Assign voltages V_1, V_2,…, V_n-1 to the remaining n-1 nodes. The voltages are referenced with respect to the reference node.
reference node
Steps to determine node voltages:
- Apply ______ to each of the n-1 nonreference nodes. Use ____ _____ to express the branch current in terms of node voltages.
KCL, Ohm’s Law
Steps to determine node voltages:
- Solve the resulting simultaneous equations to obtain the unknown ______ ________.
Node voltages
The number of __________ _______ is equal to the number of independent equations that we will derive.
nonreference nodes
Current flows from a ______ potential to a ______ potential in a resistor.
higher, lower
Three methods in solving the equations (Nodal Analysis)
Elimination, Cramer’s/Basket Method, Chio’s Method
Nodal Analysis with a Voltage Source:
Case 1: If a voltage source is connected between the reference node and a non-reference node, we simply set the voltage at the non-reference node equal to the _____ of the voltage source.
voltage
Nodal Analysis with a Voltage Source:
Case 2: If the voltage source (dependent or independent) is connected between two non-reference nodes, the two non-reference nodes form a generalized node or ________; we apply both KCL and KVL to determine the node voltages.
supernode
A _________ is formed by enclosing a (dependent or independent) voltage source connected between two non-reference nodes and any elements connected in parallel with it.
Supernode
The voltage source inside the supernode provides a _______ ________ needed to solve for the node voltages.
constraint equation
A supernode has no _________ of its own.
voltage
A supernode requires the application of both ______ and _____.
KCL and KVL
