> For the complete documentation index, see [llms.txt](https://daniel-soto.gitbook.io/em/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://daniel-soto.gitbook.io/em/modeling/circuit-models.md).

# Circuit Models

## Ideal Model Representations

### Ideal voltage source

No matter how much current it provides, the voltage stays the same.

### Ideal temperature difference

This is also called a thermal reservoir. No matter how much heat flow this "reservoir" provides, the temperature stays the same.

### Ideal current source

No matter the voltage, the current stays the same.

### Ideal heater

Creates the same amount of heat flow, no matter the temperature difference.

## Correspondence between thermal and electrical

* Heat flow (power) -- Electrical Current
* Temperature difference -- Voltage difference

### Ohms Law

$$V = IR$$

### Thermal Heat Flow

$$q = UA \Delta T$$

Think of $q$ as current. Think of $\Delta T$ as voltage. Think of $1/UA$ as resistance.

$$\Delta T = q \frac{1}{UA}$$