Hydrogen Notes Site

First Electrical Note

The intent of this website is to eventually contain comprehensive notes for all the topics which I’ve covered in Electrical Engineering. That is going from Circuits 1 through to later topics in Analog Filtering and Beyond.

My motivation is to have clear resources that I can use as a starting point for any students. Answer any questions that I’ve gotten multiple times.

Ohm’s Law

Ohm’s law relates voltage, current, and resistance:

$$ V = I,R $$

Where:

  • $V$ is voltage in volts (V)
  • $I$ is current in amperes (A)
  • $R$ is resistance in ohms (Ω)

Solving for other variables:

$$ I = \frac{V}{R} \qquad\text{and}\qquad R = \frac{V}{I} $$

Example — a 9 V battery across a 3 Ω resistor:

$$ I = \frac{V}{R} = \frac{9\ \text{V}}{3\ \Omega} = 3\ \text{A} $$

Power relations (useful checks):

$$ P = VI = I^2 R = \frac{V^2}{R} $$