Linear Circuit Analysis
1. Introduction
2. Basic Concepts
- Currents and voltages
- Linear circuits
- Linear components
- Loops and nodes
- Series and parallel
- R, L & C combinations
- V & I combinations
- Power and energy
3. Simple Circuits
- Ohm's law
- Kirchhoff's current law
- Kirchhoff's voltage law
- Single loop circuits
- Single node-pair circuits
- Voltage division
- Current division
4. Nodal and Mesh Analysis
5. Additional Analysis Techniques
- Superposition
- Source transformation
- The $V_{test}/I_{test}$ method
- Norton equivalent
- Thévenin equivalent
- Max power transfer
6. AC Analysis
7. Operational Amplifiers
8. Laplace Transforms
9. Time-Dependent Circuits
- Introduction
- First-order transients
- Nodal analysis
- Mesh analysis
- Laplace transforms
- Additional techniques
10. Two-port networks
Additional Analysis Techniques in Time-Dependent Circuits
As we discussed before, in addition to the nodal and mesh analysis methods reviewd in the previous sections, most of the other methods that we learned to study DC and AC circuits can also be used to analyze time-dependent circuits:
- Ohm's law
- current division
- voltage division
- impedance simplification
- superposition
- source transformation
- Norton and Thévenin equivalent circuits
Click the links the Examples section to see how we apply these methods to solve different problems in linear circuits.
Sample Solved Problems
The examples below are randomly generated.
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Impedance simplification in the s-domain
Series RLC circuit
Mixed RLC circuit
Circuit with multiple R, L, and C's
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Superposition
Two-loop circuit in the s-domain
Three-loop circuit in the s-domain
Four-loop circuit with a dependent source in the time-domain
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Source transformation
Compute the sought variable in s-domain for a 2-loop circuit
Compute the sought variable in s-domain for a 3-loop circuit
Compute the Norton equivalent circuit in the s-domain
Compute the Norton equivalent circuit in time-domain
Compute the Thévenin equivalent circuit in the time-domain
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Norton and Thévenin equivalent circuits
Compute the Norton equivalent circuit in time-domain
Compute the Thévenin equivalent circuit in the time-domain