Basic Circuits Math - Using Substitution and Matrices to Solve Circuits Equations

When using KVL and KCL, you often end up with very similar looking equations. There are a few ways to solve these equations and Josh, somewhat unwillingly, goes over both the substitution method and the matrix calculator method. Besides showing how to use them, the pros and cons of each method are discussed and when you should use one or the other. The tool Josh uses in the matrix calculator example is on our website here: www.circuitbread.com/tools/li...
The written tutorial for this is found here: www.circuitbread.com/tutorial...
0:00 Introduction and apologies
1:20 Review of example circuit
3:44 Substitution Method
12:58 Matrix / Linear Algebra Method
16:58 As always, have an intuitive feel
18:45 The toast will never pop up
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[@jeromesimms]

Yeah!!! We need your help with the maths. Thanks, we definitely appreciate your effort!!

[@CircuitBread]

Awesome, thanks for the feedback! I've been particularly nervous about this video from inception. I'm glad it was helpful!

[@hieronymousmiller7835]

Does anyone you know plug equations into Excel or is that an inefficient approach?

[@JakeVoorhees]

Cool video guys. Glad I have the bell turned on for the channel now !!

[@CircuitBread]

Thanks Jake!

[@mohamedelshazly2185]

there is nothing more peaceful than agreeing with Americans on units

[@CircuitBread]

😂

[@MPLEKON]

Watching this while studying for maths exam 🤣

[@memesneverdie3826]

This needed to be uploaded two weeks ago

[@CircuitBread]

I understand your pain - hopefully it helps moving forward!

[@johanliebert8637]

Solving 2 equations comes handy using crammers rule, it's almost impossible to miss something out in it.
But what aches my head is 3 or more equations on those nodal analysis equations, I hate them, first I have to sum up all the common voltage fractions into one fraction and then putting the equations into a matrix to solve it, i almost always miss something in the first trial.

[@CircuitBread]

Unfortunately, that is a big weakness for me as well so I don't really have any thoughts or advice on it. The "just be careful and thorough" adage that I keep telling myself is important but not really that useful. Hopefully someone else chimes in, I'd love to get some help with this as well.

[@onefastbob]

What???

[@daz41262010]

math was never my strong point :) just baffled me this video :( I don't know how you got to all them numbers for the equations :(

[@CircuitBread]

Thanks for all your comments! For this one, I skimmed over the setup equations for time. But, if you're not familiar with what happened on that portion, it's probably best to review some of our Circuits 101 videos, particularly the Kirchhoff's videos. Once you understand the circuit analysis portion, then it's not that big of a jump to using them with matrices.