Node Voltage Problems in Circuit Analysis - Electrical Engineering Node Voltage Analysis Problem

Learn what the node voltage method is in circuit theory and how to use it to solve circuits. First, we will describe what nodal analysis is in electrical engineering circuit analysis. Next, we will present a problem and write down the node voltage equations necessary for the solution. Finally, we will solve the node equations and discuss the results..

[davidobenitez]

You state the tiny details NO ONE MENTIONS! I freaking appreciate your videos! I am liking and subscribing!

[TheTrumpBoy]

The way you keep repeating these little details over and over throughout the video makes them stick really deep in my mind! Awesome tutor and a Brilliant tutorial :)

[m.ramos]

I pay 12K tutions to watch youtube videos

[victor]

If your an engineering student you know he's board is freaking awesome!

[shirlinntan]

This has been an excellent tutorial about applying node voltage method into solving circuit analysis problem. The presentation of the material was professional and the author did a very good job of explaining and justifying what he was doing every step of the way. Although the circuit was pretty simple, the fact that the author labelled everything in the circuit make it clear for students to understand what he is talking about. I really appreciate that the author uses different pen color on the whiteboard. It make it so much easier for student to understand the equations he wrote down. Thank you so much!

[ahsinsharif]

One of the best explanations of circuit analysis ive probably ever come across. thank you so much.

[makeupgirl]

Fantastic tutorial! Wished my tutorials in college were this detailed 😊👍

[NothingButLove]

Thank you. This was a great tutorial! My professor is awesome but there is a language barrier so I miss a lot in lecture. This will be my secondary lecture. Thanks again!

[mfgman]

Small but important point. Go ahead and show the direction of your currents...

[chrischalabi]

Very well put! This is the most helpful video I've found on this. The extensive explanations are just what I need. Thank you.

[aaditya]

I was so confused over sign convention's. Thanks for helping me out in one time. Done so perfectly!!

[yuvrajstylesssthunderbolt]

I want this professor in my online class🙂
Bcz of their method is just awesome nd board work also well explained.... 👌🙏

[PowerSports]

Great job!  This will definitely help me pass my exam today!  Thanks!!!

[TheArnoldification]

Tip for people without access to a calculator to set up simultaneous eqn.'s: create whats called an augmented matrix by (this is very rigid and has a formal definition) lining up the coefficients and RHS's and create a matrix out of that. In this case
[ 6 -5 240]
[-30 35 -240]

We want to create a simpler but equivalent matrix byidentifying the pivot columns and creating 0's under pivots using elementary row operations (where a pivot is the leftmost entry that's nonzero in a row, a pivot column being having only 1 pivot entry in the column). In this case, all we need to do is perfom 1 row operation to get the information we need. Adding 5x row 1 row 2 we get:

[6 -5 240]
[0 10 960]

We can convert this back to our system of equations and solve for v1 and v2.

10v1 = 960 -> v1 = 96
6v1 - 480 = 240 -> 6v1 = 720 -> v1 = 120V.

Wasn't sure if people already knew how to do this but I always find this to be the most intuitive approach to solving simultaneous equations as long as the system is small.

[NN]

Finally grasping how to use node analysis to solve circuits and let me just say this video is really good at showing how it's done.

[OzoneX]

I just love the way he teaches. Really saved my arse for exams!

[ts]

Thank you! this made me help remeber things I forgot about nodal analysis. I thought solving the final equations with a Simultaneous equations method is easier than the matrix.

[felixyongco]

He is such an awesome instructor from bottom to top of learning the subject matter including the techical analysiz. He is soooo good unbelievably extraordinary..

I did my study in electrical course but none our teachers can be like him.. If we can not understand we we were asked to make research which is very difficult..

That ( SIGN + / - ) known first or all answers in the equation / s made were all wrong..

Thank you Sir Jason reminding us of that MANDATORY SIGN.

[cerenklc]

Thanks a lot I've been struggling A LOT to solve my midterm project questions because my professor didn't teach even ohm's law in online classes and said research and solve yourself... I was feeling really overwhelmed until I watched this. You are a really great teacher (:

[johnnolen]

I solve these problems a little differently. Instead of pretending that all currents are leaving the principal node for each equation, I draw arrows on my circuit diagram as a first step indicating the directions of the branch currents. Then the voltage difference between any two nodes is always the node voltage at the tail of the arrow minus the node voltage at the head of the arrow (regardless of whether the current in question is entering or leaving a particular node). Next, I write the KCL equations as the sum of currents entering the node of interest = the sum of currents leaving the node of interest. Then I find a common denominator on the LHS and a common denominator on the RHS, and cross multiply them to eliminate the fractions. I move all variable terms to the left and all constant terms to the right, and solve the system. Always works, and I don't have to worry about sign errors.