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. Magnetically Coupled Circuits
8. Operational Amplifiers
9. Laplace Transforms
10. Time-Dependent Circuits
- Introduction
- First-order transients
- Nodal analysis
- Mesh analysis
- Laplace transforms
- Additional techniques
11. Two-port networks
Appendix
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
Circuit with 0 loops, 1 resistor, 1 inductor, 1 capacitor
Circuit with 1 loop, 2 resistors, 1 inductor, 1 capacitor
Circuit with 3 loops, 2 resistors, 2 inductors, 2 capacitors
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Superposition
Circuit with 2 loops, 1 voltage source, 1 current source, 1 resistor, 1 inductor/capacitor (numerical in s-domain)
Circuit with 3 loops, 1 voltage source, 1 current source, 2 resistors, 1 inductor, 1 capacitor (numerical in s-domain)
Circuit with 4 loops, 3 sources, 2 resistors, 1 inductor, 1 capacitor, 1 dependent (numerical in time/s-domain)
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Source transformation
Circuit with 2 loops, 2 sources, 2 resistors, 1 inductor/capacitor (numerical s-domain simplification)
Circuit with 3 loops, 2 sources, 2 resistors, 1 inductor/capacitor (numerical s-domain simplification)
Circuit with 2 loops, 2 sources, 2 resistors, 1 inductor/capacitor (numerical time/s-domain Norton)
Circuit with 4 loops, 3 sources, 2 resistors, 1 inductor, 1 capacitor (numerical time/s-domain Norton)
Circuit with 4 loops, 3 sources, 2 resistors, 1 inductor, 1 capacitor (numerical time/s-domain Thévenin)
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Norton and Thévenin equivalent circuits
Circuit with 3 loops, 2 sources, 2 resistors, 1 inductor/capacitor (numerical time/s-domain Norton)
Circuit with 4 loops, 3 sources, 2 resistors, 1 inductor, 1 capacitor (numerical time/s-domain Thévenin)
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Impedance simplification in the s-domain
Circuit with 0 loops, 1 resistor, 1 inductor, 1 capacitor
Circuit with 1 loop, 2 resistors, 1 inductor, 1 capacitor
Circuit with 3 loops, 2 resistors, 2 inductors, 2 capacitors
Circuit with 8 loops, 6 resistors, 3 inductors, 3 capacitors
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Superposition
Circuit with 2 loops, 1 voltage source, 1 current source, 1 resistor, 1 inductor/capacitor (numerical in s-domain)
Circuit with 3 loops, 2 voltage sources, 2 resistors, 1 inductor, 1 capacitor (numerical in s-domain)
Circuit with 3 loops, 2 current sources, 2 resistors, 1 inductor, 1 capacitor (numerical in s-domain)
Circuit with 3 loops, 1 voltage source, 1 current source, 2 resistors, 1 inductor, 1 capacitor (numerical in s-domain)
Circuit with 3 loops, 3 sources, 2 resistors, 1 inductor, 1 capacitor (numerical in s-domain)
Circuit with 4 loops, 3 sources, 2 resistors, 1 inductor, 1 capacitor (numerical in s-domain)
Circuit with 3 loops, 3 sources, 2 resistors, 1 inductor, 1 capacitor, 1 dependent source (numerical in s-domain)
Circuit with 4 loops, 3 sources, 2 resistors, 1 inductor, 1 capacitor, 1 dependent source (numerical in s-domain)
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Source transformation
Circuit with 2 loops, 2 sources, 2 resistors, 1 inductor/capacitor (numerical s-domain simplification)
Circuit with 3 loops, 2 sources, 2 resistors, 1 inductor/capacitor (numerical s-domain simplification)
Circuit with 3 loops, 3 sources, 2 resistors, 1 inductor, 1 capacitor (numerical s-domain simplification)
Circuit with 5 loops, 3 sources, 2 resistors, 2 inductors, 2 capacitors (numerical s-domain simplification)
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Norton equivalent circuits
Circuit with 2 loops, 2 sources, 2 resistors, 1 inductor/capacitor (numerical time/s-domain Norton)
Circuit with 3 loops, 2 sources, 2 resistors, 1 inductor/capacitor (numerical time/s-domain Norton)
Circuit with 4 loops, 3 sources, 2 resistors, 1 inductor, 1 capacitor (numerical time/s-domain Norton)
Circuit with 5 loops, 3 sources, 2 resistors, 2 inductors, 2 capacitors (numerical time/s-domain Norton)
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Thévenin equivalent circuits
Circuit with 2 loops, 2 sources, 2 resistors, 1 inductor/capacitor (numerical time/s-domain Thévenin)
Circuit with 3 loops, 2 sources, 2 resistors, 1 inductor/capacitor (numerical time/s-domain Thévenin)
Circuit with 4 loops, 3 sources, 2 resistors, 1 inductor, 1 capacitor (numerical time/s-domain Thévenin)
Circuit with 5 loops, 3 sources, 2 resistors, 2 inductors, 2 capacitors (numerical time/s-domain Thévenin)