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Transcript of ElecTric CircUiT
- Mesh Analysis
1. Select a node as a reference node ( 0V ).
2. Apply KCL to each nonreference node in the
3.Apply Ohm’s law to express the unknown currents i1, i2, and i3 in terms of node voltages.
note: current must always flow from a higher potential to a lower potential.
3.1 Nodal Analysis
© 2007 The McGraw-Hill Companies, Inc. All rights reserved.
- Nodal analysis is based on the application of KCL.
- We can analysis any linear circuit by:
1. Obtaining a set of simultaneous equations.
2. Solving the required values of voltage or current.
3. Using simultaneous equation either using Cramer's Rule or any
other software such as MATLAB/MathCAD.
3.1 Nodal Analysis
-Supernode -Dependent source
-Supermesh -Independent source
A supermesh occur when a current source is contained between two essential meshes.The circuit is first treated as if the current source is not there.This leads to one question that incorporates two mesh currents. Once this equation is formed, an equation is needed that relates the two mesh currents with the current source.This will be an equation where the current source is equal to one of the mesh currents minus the other.
A dependent source is a current source or voltage source that depends on the voltage or current of another element in the circuit.
An independent current source is an energy source that pushes a constant flow of electrons through an electrical circuit regardless of the load presented to it. For an example, a 1 amp source will maintain a current flow of 1 amp through its terminals if it has an open circuit or short circuit as a load.
The current source symbol must be identified with at least its direction of current flow marked and a value or variable for its current.
A supernode is formed by enclosing a dependent or independent voltage source connected between two nonreference nodes nodes and any elements connected in parallel with it