The resistors-in-parallel mind tools

Imagine a circuit with two resistors in parallel.

If you’re not sure what that looks like, look at this image:

Let’s say one is 100 Ohms and the other 100000 (one hundred thousand) Ohms.

Can you quickly find the combined value of the two of them?

What if both of the values are 300 Ohms?

You *could* use the formula for resistors in parallel and calculate it.

But there’s a quicker way.

“Mind tools” for resistors in parallel

Here are 3 “mind tools” to find parallel values without a calculator:

1. The total resistance of two resistors in parallel is always smaller than the smallest resistor value.
2. If the difference between the two resistors is large (100 times or more), the resulting value is approximately the same as the smallest resistor.
3. If the two values are equal, the total resistance is half of the resistance value of one of the resistors.

Using these, you can easily find the answer to the questions above:

• 100 Ohm in parallel with 100000 (one hundred thousand) Ohms is approximately 100 Ohms.
• 300 Ohms in parallel with 300 Ohms is 150 Ohms.

When you’ve done this enough, it becomes second nature.

This skill, together with a few more basic analysis-skills, will help your ability to look at a circuit diagram and understand what it does/how it works.

I took these tips from the course “Resistance is everything” from Ohmify:
https://ohmify.com/courses/circuit-analysis-1-resistance/

The course teaches you to combine resistances, and then “see” the voltages and currents in the circuit. Which is probably one of the most important theoretical skills in electronics.

Keep On Soldering!
Oyvind @ build-electronic-circuits.com