# Circuit Theorems

This introduces several advanced methods to solve circuits.

### Linearity

You assume a value, and then in the end multiple but the proportions.

### Principle of Superposition

The current or voltage in a linear circuit can be computed as the algebraic sum of the individual contributions of each independence source acting alone.

To deactivate independent sources:

- Voltage Source $v_{s}=0$ â†’ Short Circuit
- Current Source $i_{s}=0$ â†’ Open Circuit

Do not deactivate dependent sources. They are not considered as input to the circuit system.

### Source Transformation

It can be shown that a combination of a voltage in series with a resistance is equivalent to a combination of a current source in parallel with a resistance, i.e. Resistor remains the same value, but change $v$ and $i$ such that $i=Rvâ€‹$