Resistors in Electric Circuits (3 of 16) Voltage, Resistance & Current for Parallel Circuits
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- Опубликовано: 7 фев 2025
- Shows how to calculate the voltages, resistances and currents in circuit containing resistors in parallel. You can see a listing of all my videos at my website, www.stepbysteps...
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the BIGGEST thank you goes out to you sir!!! i’ve been struggling with this concept for days now & i just could not grasp it with what my teacher was giving. you explained everything so clearly & easy to understand!! thank you so much !
You are very welcome, and thanks for the very nice comment.
You may find a comprehensive description in the refetences here on the physics of the networks.
What is a resistor? How does current branch in a network of resistors? How does it "know" how much should flow in each branch?
While some detail is given in science and engineering courses about conductors, insulators and semiconductors, resistance is described in several ways.
Examples include i. The restriction to the flow of electrons. ii. The difficulty in moving electrical current through a conductor to which voltage is applied.
iii. a circuit element which dissipates energy in the form of heat .
More appropriate description for a resistor would be the property of a conductor which determines the current produced by a given difference of potential.
This makes us remember that a resistor is a conductor first. And, there is reason to say that superconductive wires dont obey ohm's law. So all conductors are resistive, though not superconductors.
Resistors are used in circuits to regulate the strengths of currents either by reducing the diameter of conductors or introducing more obstacles or lattice imperfections to reduce the strength of current.
The current branches in a parallel network by an elaborate rearrangement of surface charge.
For more details about resistance, how current branches in a parallel circuit and ohm's law consult the following videos, articles and books.
What is current ? What is voltage ?
A working definition for current in conductors like metal wires is "the start-stop motion of millions and millions of conduction band electrons everywhere within with a drift superimposed".
In circuits, voltage is due to surface charges. Consider a simple circuit comprising a battery, two wires and a resistor.
The e.m.f of the battery is due to separation of positive from negative charges which produces an e.m.f across its terminals and a pattern of electric field surrounding them, not exactly but like a dipole.
An electric field is there in the wires and in the resistor; powerful electric field and uniform within the resistor, weak and uniform within the wires. The field is set up by a tiny amount of surface charge with a steep gradient on the resistor and not so steep a gradient on the wires.
It is the electric field E created by the surface charges sourced from the battery, which produces a force causing the mobile electrons to acquire a drift velocity v = μE, where μ is the mobility which is a number representing the freedom of movement of the electron in the lattice.
This results in a current density J = σE, where σ is the conductivity of the wire or material of resistor and E is the electric field in the wire if considering wire and is the field in the resistor when considering the resistor.
The p.d. or voltage across the resistor is the integral of a constant powerful field along its length. The p.d. or voltage across the wires is the integral of a constant but weak field along its length.
Voltage is entirely because of the surface charges.
Electrostatics and circuits belong to one science and not two, that of electricity and magnetism. To know how they are unified visit this link
matterandinteractions.org/articles-talks/ and view the article 'A unified treatment of electrostatics and circuits. B. Sherwood and R. Chabay, unpublished. (1999)'
pdf.
For more details see Electric and Magnetic Interactions by Chabay and Sherwood
www.matterandinteractions.org
or
Fundamentals of electric theory and circuits by Sridhar Chitta
www.wileyindia.com/fundamentals-of-electric-theory-and-circuits.html
There is a "look inside" feature in the amazon.com webpage of the book "Fundamentals of electric theory and circuits" by Sridhar Chitta with a few pages of Chapter 1 which may be viewed and also which you may swipe left or press < icon to view the foreword, preface and Table of Contents.
For a video lecture by Prof Ruth Chabay on surface charge in a simple dc circuit visit
ruclips.net/video/-7W294N_Hkk/видео.html
There is a full set of lectures beginning lecture 13 here on surface charges, electric fields, simple circuits, capacitance, inductance, faraday's law, motional emf, magnetic forces and more topics here
matterandinteractions.org/videos/EM.html
For a live demonstration of surface charge in a circuit visit
ruclips.net/video/U7RLg-691eQ/видео.html
There is a full set of lectures beginning lecture 13 here on surface charges, electric fields, simple circuits, capacitance, inductance, faraday's law, motional emf, magnetic forces and more topics here
matterandinteractions.org/videos/EM.html
One of the best explanation i came across. Please keep up the good work. I've learned more in 10 min than i did in 2 weeks of lectures. Thank you so much
You are very welcome, thanks for the great comment. You can see a listing of all my videos at www.stepbystepscience.com
OMG. Thank you. After having trouble with the concept in lecture, then later watching 10 other youtube videos. Yours was the one where it finally "clicked"
Great and very nice of you to say so.
@@stepbystepscience I have to agree, I' thought I had ADD until I got here.. Thanks
You may find the physics of the network useful in the references here.
What is a resistor? How does current branch in a network of resistors? How does it "know" how much should flow in each branch?
While some detail is given in science and engineering courses about conductors, insulators and semiconductors, resistance is described in several ways.
Examples include i. The restriction to the flow of electrons. ii. The difficulty in moving electrical current through a conductor to which voltage is applied.
iii. a circuit element which dissipates energy in the form of heat .
More appropriate description for a resistor would be the property of a conductor which determines the current produced by a given difference of potential.
This makes us remember that a resistor is a conductor first. And, there is reason to say that superconductive wires dont obey ohm's law. So all conductors are resistive, though not superconductors.
Resistors are used in circuits to regulate the strengths of currents either by reducing the diameter of conductors or introducing more obstacles or lattice imperfections to reduce the strength of current.
The current branches in a parallel network by an elaborate rearrangement of surface charge.
For more details about resistance, how current branches in a parallel circuit and ohm's law consult the following videos, articles and books.
What is current ? What is voltage ?
A working definition for current in conductors like metal wires is "the start-stop motion of millions and millions of conduction band electrons everywhere within with a drift superimposed".
In circuits, voltage is due to surface charges. Consider a simple circuit comprising a battery, two wires and a resistor.
The e.m.f of the battery is due to separation of positive from negative charges which produces an e.m.f across its terminals and a pattern of electric field surrounding them, not exactly but like a dipole.
An electric field is there in the wires and in the resistor; powerful electric field and uniform within the resistor, weak and uniform within the wires. The field is set up by a tiny amount of surface charge with a steep gradient on the resistor and not so steep a gradient on the wires.
It is the electric field E created by the surface charges sourced from the battery, which produces a force causing the mobile electrons to acquire a drift velocity v = μE, where μ is the mobility which is a number representing the freedom of movement of the electron in the lattice.
This results in a current density J = σE, where σ is the conductivity of the wire or material of resistor and E is the electric field in the wire if considering wire and is the field in the resistor when considering the resistor.
The p.d. or voltage across the resistor is the integral of a constant powerful field along its length. The p.d. or voltage across the wires is the integral of a constant but weak field along its length.
Voltage is entirely because of the surface charges.
Electrostatics and circuits belong to one science and not two, that of electricity and magnetism. To know how they are unified visit this link
matterandinteractions.org/articles-talks/ and view the article 'A unified treatment of electrostatics and circuits. B. Sherwood and R. Chabay, unpublished. (1999)'
pdf.
For more details see Electric and Magnetic Interactions by Chabay and Sherwood
www.matterandinteractions.org
or
Fundamentals of electric theory and circuits by Sridhar Chitta
www.wileyindia.com/fundamentals-of-electric-theory-and-circuits.html
There is a "look inside" feature in the amazon.com webpage of the book "Fundamentals of electric theory and circuits" by Sridhar Chitta with a few pages of Chapter 1 which may be viewed and also which you may swipe left or press < icon to view the foreword, preface and Table of Contents.
For a video lecture by Prof Ruth Chabay on surface charge in a simple dc circuit visit
ruclips.net/video/-7W294N_Hkk/видео.html
There is a full set of lectures beginning lecture 13 here on surface charges, electric fields, simple circuits, capacitance, inductance, faraday's law, motional emf, magnetic forces and more topics here
matterandinteractions.org/videos/EM.html
For a live demonstration of surface charge in a circuit visit
ruclips.net/video/U7RLg-691eQ/видео.html
There is a full set of lectures beginning lecture 13 here on surface charges, electric fields, simple circuits, capacitance, inductance, faraday's law, motional emf, magnetic forces and more topics here
matterandinteractions.org/videos/EM.html
All this is simple but seeing it all laid out so explicitly really helps. Thanks a lot.
@Garrett Hernandez, Thank you, I try to lay it all out step-by-step.
Thank you so very much this is being used to teach hvac students. It's really friggin crazy to think at my Tarrant County College HVAC basic electricity class I just couldn't grasp the concept 15 students teacher says he can't show everyone teacher blazing through the lectures thank you so much
So glad it was helpful! Thanks for your comment!
am from ethiopia my friend and me are watching your video b/c tt is very clearly understand ............... best ......apriciet..........
Awesome, I have adopted son from Ethiopia.
Its been over 4 years, just about & this video has been Very helpful.
Thank you for your time.
No exaggeration.. I've watched 20 videos on this subject.. by FAR the Greatest one
You mayfind the references here useful.
What is a resistor? How does current branch in a network of resistors? How does it "know" how much should flow in each branch?
While some detail is given in science and engineering courses about conductors, insulators and semiconductors, resistance is described in several ways.
Examples include i. The restriction to the flow of electrons. ii. The difficulty in moving electrical current through a conductor to which voltage is applied.
iii. a circuit element which dissipates energy in the form of heat .
More appropriate description for a resistor would be the property of a conductor which determines the current produced by a given difference of potential.
This makes us remember that a resistor is a conductor first. And, there is reason to say that superconductive wires dont obey ohm's law. So all conductors are resistive, though not superconductors.
Resistors are used in circuits to regulate the strengths of currents either by reducing the diameter of conductors or introducing more obstacles or lattice imperfections to reduce the strength of current.
The current branches in a parallel network by an elaborate rearrangement of surface charge.
For more details about resistance, how current branches in a parallel circuit and ohm's law consult the following videos, articles and books.
What is current ? What is voltage ?
A working definition for current in conductors like metal wires is "the start-stop motion of millions and millions of conduction band electrons everywhere within with a drift superimposed".
In circuits, voltage is due to surface charges. Consider a simple circuit comprising a battery, two wires and a resistor.
The e.m.f of the battery is due to separation of positive from negative charges which produces an e.m.f across its terminals and a pattern of electric field surrounding them, not exactly but like a dipole.
An electric field is there in the wires and in the resistor; powerful electric field and uniform within the resistor, weak and uniform within the wires. The field is set up by a tiny amount of surface charge with a steep gradient on the resistor and not so steep a gradient on the wires.
It is the electric field E created by the surface charges sourced from the battery, which produces a force causing the mobile electrons to acquire a drift velocity v = μE, where μ is the mobility which is a number representing the freedom of movement of the electron in the lattice.
This results in a current density J = σE, where σ is the conductivity of the wire or material of resistor and E is the electric field in the wire if considering wire and is the field in the resistor when considering the resistor.
The p.d. or voltage across the resistor is the integral of a constant powerful field along its length. The p.d. or voltage across the wires is the integral of a constant but weak field along its length.
Voltage is entirely because of the surface charges.
Electrostatics and circuits belong to one science and not two, that of electricity and magnetism. To know how they are unified visit this link
matterandinteractions.org/articles-talks/ and view the article 'A unified treatment of electrostatics and circuits. B. Sherwood and R. Chabay, unpublished. (1999)'
pdf.
For more details see Electric and Magnetic Interactions by Chabay and Sherwood
www.matterandinteractions.org
or
Fundamentals of electric theory and circuits by Sridhar Chitta
www.wileyindia.com/fundamentals-of-electric-theory-and-circuits.html
There is a "look inside" feature in the amazon.com webpage of the book "Fundamentals of electric theory and circuits" by Sridhar Chitta with a few pages of Chapter 1 which may be viewed and also which you may swipe left or press < icon to view the foreword, preface and Table of Contents.
For a video lecture by Prof Ruth Chabay on surface charge in a simple dc circuit visit
ruclips.net/video/-7W294N_Hkk/видео.html
There is a full set of lectures beginning lecture 13 here on surface charges, electric fields, simple circuits, capacitance, inductance, faraday's law, motional emf, magnetic forces and more topics here
matterandinteractions.org/videos/EM.html
For a live demonstration of surface charge in a circuit visit
ruclips.net/video/U7RLg-691eQ/видео.html
There is a full set of lectures beginning lecture 13 here on surface charges, electric fields, simple circuits, capacitance, inductance, faraday's law, motional emf, magnetic forces and more topics here
matterandinteractions.org/videos/EM.html
Without your thorough explanations I'd be hooped! Thank you, I've shared your page with the class, 1st year electrical, im confident that with your help I'll understand this!
Glad you found me and thanks for spreading the word about my channel!
This was the most [simplistic education ] solving both Parrallel & Series circuits from the V to R to I totals. RMS is the rule of thumb trouble shooting locomotives. THX.
You are very welcome.
I have been trying to learn this (beat it into my skull) for almost a week. I have been "instructed" by an Instructor with an Electrical Engineering degree, and watched scores of other you tube videos to no avail IDK WTF. Now, after watching these, I finally have a grasp and am looking forward to our upcoming test on Monday. You explain thoroughly, and make this subject matter EASY to understand. Thanks - You rock!!!
You may find the references here useful.
What is a resistor? How does current branch in a network of resistors? How does it "know" how much should flow in each branch?
While some detail is given in science and engineering courses about conductors, insulators and semiconductors, resistance is described in several ways.
Examples include i. The restriction to the flow of electrons. ii. The difficulty in moving electrical current through a conductor to which voltage is applied.
iii. a circuit element which dissipates energy in the form of heat .
More appropriate description for a resistor would be the property of a conductor which determines the current produced by a given difference of potential.
This makes us remember that a resistor is a conductor first. And, there is reason to say that superconductive wires dont obey ohm's law. So all conductors are resistive, though not superconductors.
Resistors are used in circuits to regulate the strengths of currents either by reducing the diameter of conductors or introducing more obstacles or lattice imperfections to reduce the strength of current.
The current branches in a parallel network by an elaborate rearrangement of surface charge.
For more details about resistance, how current branches in a parallel circuit and ohm's law consult the following videos, articles and books.
What is current ? What is voltage ?
A working definition for current in conductors like metal wires is "the start-stop motion of millions and millions of conduction band electrons everywhere within with a drift superimposed".
In circuits, voltage is due to surface charges. Consider a simple circuit comprising a battery, two wires and a resistor.
The e.m.f of the battery is due to separation of positive from negative charges which produces an e.m.f across its terminals and a pattern of electric field surrounding them, not exactly but like a dipole.
An electric field is there in the wires and in the resistor; powerful electric field and uniform within the resistor, weak and uniform within the wires. The field is set up by a tiny amount of surface charge with a steep gradient on the resistor and not so steep a gradient on the wires.
It is the electric field E created by the surface charges sourced from the battery, which produces a force causing the mobile electrons to acquire a drift velocity v = μE, where μ is the mobility which is a number representing the freedom of movement of the electron in the lattice.
This results in a current density J = σE, where σ is the conductivity of the wire or material of resistor and E is the electric field in the wire if considering wire and is the field in the resistor when considering the resistor.
The p.d. or voltage across the resistor is the integral of a constant powerful field along its length. The p.d. or voltage across the wires is the integral of a constant but weak field along its length.
Voltage is entirely because of the surface charges.
Electrostatics and circuits belong to one science and not two, that of electricity and magnetism. To know how they are unified visit this link
matterandinteractions.org/articles-talks/ and view the article 'A unified treatment of electrostatics and circuits. B. Sherwood and R. Chabay, unpublished. (1999)'
pdf.
For more details see Electric and Magnetic Interactions by Chabay and Sherwood
www.matterandinteractions.org
or
Fundamentals of electric theory and circuits by Sridhar Chitta
www.wileyindia.com/fundamentals-of-electric-theory-and-circuits.html
There is a "look inside" feature in the amazon.com webpage of the book "Fundamentals of electric theory and circuits" by Sridhar Chitta with a few pages of Chapter 1 which may be viewed and also which you may swipe left or press < icon to view the foreword, preface and Table of Contents.
For a video lecture by Prof Ruth Chabay on surface charge in a simple dc circuit visit
ruclips.net/video/-7W294N_Hkk/видео.html
There is a full set of lectures beginning lecture 13 here on surface charges, electric fields, simple circuits, capacitance, inductance, faraday's law, motional emf, magnetic forces and more topics here
matterandinteractions.org/videos/EM.html
For a live demonstration of surface charge in a circuit visit
ruclips.net/video/U7RLg-691eQ/видео.html
There is a full set of lectures beginning lecture 13 here on surface charges, electric fields, simple circuits, capacitance, inductance, faraday's law, motional emf, magnetic forces and more topics here
matterandinteractions.org/videos/EM.html
It would be your videos recommended after Khan Academy. Amazing Efforts!
Thanks for the great comment. You can find a listing of all my videos at my website www.stepbystepscience.com
You are the best. I looked at other YT videos to help me in this and this by fare the easiest to understand. Thank you. Book marked for future reference.
Thank you very much!
Really good. I wish I was taught this, like this, 50 odd years ago. Top quality - thank you.
Glad you enjoyed it! Better late that never.
u solved my problem, may God give u all happiness in your life
So easily explained!Thank you so much exam tommorow!!!
Even mine! haha
same here but on this year...hahaha
Great video, very helpful!! Only thing I'd add is that the total resistance is easiest to enter into a calculator using negative exponents. Outside that, this video helped me understand my physics homework, so I'm very grateful! Thanks so much!!!
Welcome, and glad it was helpful!
Thank you for this wonderful video! It really helped me in understanding the concepts and laws of electricity!
You just explain everything so clearly .. love your videos they are helping me so much with my studies .. my tutor could honestly have been talking another language these last couple of weeks.. you taught me what hes been trying to teach me for 1 month now in a 10 min video ... thank you for your knowledge .
Happy to help and thanks again for the comments.
This explanation is much easier than my teacher's thanks alot 🙏🙏👍🖖
You are most welcome, glad it was helpful.
That's a very good explanation sir !!
****Thank You Very Much *****
U know even my teacher doesn't explained us !!!
But U Saved me sir !
+sridher Nakka Great the videos were helpful. Thanks for the comment. You can link to all my videos at my website: www.stepbystepscience.com
THANK YOU SO MUCHHHHHHh you won't understand how much this means to me... I have an exam tomorrow and this video rlly helped!!!!!! :) :) :D
Good luck with the exam!!
I haven't done this in quite some time. This is a great refresher.. thanks
This video is really good in how it broke down all the equations into easy to understand steps. Will help a lot with the exam i have coming up
THANK YOU THANK YOU SO MUCH. ive looked through so many vids not understanding but i came across yours and i finally understood!
Great and thanks for the comment.
Thank you for your clear and concise directions. You have simplified this for me. Thank you for that!
Thanks for the comment. You can also see a listing of all my videos by topic at www.stepbystepscience.com
Definitley helped with some of the questions i had before my exam this morning, thanks!!
3 years after your exams, what're you up to?
@@Phosfit I am now a Journeyman Parts Tech for John Deere
Fabulously helpful, all your videos have helped me out today - thank you
You're welcome. So glad to be of help!
Awesome video. Short and simple. Thank you.
Wow! I'm so amazed of your teachings it's so clear and details. Great teacher! God Bless!
Wow, thank you for the great comment.
It really helps me to understand more about how to solve the series and the parallel circuits, very informative. Thankyou for this helpful presentation.
You are very welcome, thanks for commenting!
Garrett this was awesome! Thanks for putting in the time.
Who's Garrett? You and Garrett can see a listing of all my videos at www.stepbystepscience.com
Fantastic. I feel like I'm all-caught-up on the lectures I've missed and then some
Great and thanks for the comment.
thank you so much you dont understand how much this helps me🦥❤
That's great. You're very welcome!
Amazing clear explanation =. Got an exam tomorrow. Really confident now thanks
Hope the exam goes well.
Thanks for your HELP... excellent explanation....simple to understand..
Great, thanks for the comment. I just try to go over everything step-by-step. in fact....You can see a listing of all my videos a my website, www.stepbystepscience.com
Lawrence
You have made a hard concept much easy to understand. Thanks
Thank you once again, refreshing my old knowledge and so grateful for your clear and concise videos...
You are very welcome.
you helped me pass a test just a few weeks ago! thanks a bunch for helping clear up the confusion lol
Great that the test went well and that that you found the videos helpful. You can see a complete listing of my videos at www.stepbystepscience.com.
I know this video is a decade old but I just want to say a massive thank you, sir!
You are very welcome. Thanks for commenting.
A fantastic explanation with a very clear voice
Thank you very much for this sir
You are very welcome.
By far the best explanation about. Thank you so much.
Glad you think so and thanks for the comment!
Really clear and concise. Thank you very much.
You're very welcome!
Good explanation on the parallel circuit it really easy to understand for my vietnamese students.
Glad that your students find them helpful...You can see a listing of all my videos at my website, www.stepbystepscience.com
I have been struggling with this for months....this video has made the penny drop (I hope ). Thank you
You are very welcome!
You are an EXCELLENT instructor. Thank you.
This was so useful and easy to understand with the way you explained it. Thank you!
You are very welcome, thanks for commenting
This video was a HUGE help, thank you!
Great, thaks for commenting, You can see a listing of all my vidoes at www.stepbystepscience.com
Thank you!! Great explanation. You make it sound so simple - which, finally, it is!
Take everything step by step.
Thes best tutorial hands down
Excellent comment, thanks.
Thank you so much! This was the easiest video to follow on this topic! Huge Help!
Thanks for watching and thanks for commenting.
You explained very simply.... great class .. thanking you so much
You are welcome and thanks for the great comment.
I have to teach physics this year! thank you for helping an old dog learn some new tricks!!
Just trying to return the favor from when I started teaching physics 20 years ago without a degree in physics. You can see a listing of all my videos at www.stepbystepscience.com
Thank you, you the best, all your videos help me.
Wow. I understand very well. Well explained. Thanks
You are very welcome, thanks for for taking the time to comment.
Great video. just made my day. A lot better than my book
Great that the video was helpful, You can see a listing of all my videos at www.stepbystepscience.com
best teacher evver
Thank you very much! Nice of you to say.
excellent video best I've seen so far well done mate ,you summed it up brilliantly ,would like to see how to solve it if there was another resistor in between and just say for the voltage drop you didn't get 20V in all three branches. like how to work that out but that was excellent .
thanks for the comment. I have videos for combination circuits. you can see a listing of all my videos at www.stepbystepscience.com
easy to understand and perfectly executed I can tell your good at your job
Thank you so much. I was trying to figure out the total resistance by adding 1/n1 + 1/n2 where n is any number. I was trying to find the common denominator where I was stuck for hours. Did not realise to divide 1/n on the calculator. I was instructed to do it manually with no calculator. I thought this subject was easy.
If the demoninators are relatively simple then you can do it without a calculator, but if you can use a calculators then why not? You can see a complete listing of my videos at www.stepbystepscience.com
Thank you omg my lecture could not explain this at all in this simple manner THANK YOU
I like your videos and the way of teaching and I love the tricks to remember the formula
Nicely laid out. Great work!
Thank you for the comment. You can a listing of all my videos from my website at www.stepbystepscience.com
Sir ....This is the best explanation vedio Iv ever seen thank v much endeeeeeed appreciated. ...👍
Very nice of you to say...You are very welcome, thanks for watching and commenting.
@@stepbystepscience Thank you Sir I'm just a hobbiest in electronic stuff sending u from Kingdom of Bahrain appreciated 👍
I get same this question before one week in our exam, Ido well. Thanks very much for owner this channel on RUclips
+Rashed Alhadba Great, thanks for commenting and Happy New Years. You can see a listing of all my videos at my website, www.stepbystepscience.com
+Brian Swarthout me too, ok I'll check links because next semester I'll register introduction engineering course.
Excellent presentation on parallel circuit calculations. It was extremely well thought out and presented in a manner that captures ones' interest. I am currently studying DC theory, and want to know if you have any vignettes related to solving for complex combination (Series/ Parallel) circuits? Thank yo
Ron Engel see m Webpage www.stepbystepscience.com
Congratulations on 100K subscribers
Thanks should actually cross the 100k threshold tonight.
Thank you for this video series!
Most welcome, thanks for watching!
Great video. Very easy to understand and follow.
Finally one that makes sense. Thank you
Thank you very much and thanks for commenting.
Great video. Thank You for helping me out!!🔥👌👏
Thank you so much for this video. You just saved me from failing my science test on Monday.
Great, hope the test goes well! You can see a listing of all my videos at www.stepbystepscience.com
I didnt understand this but now i do. Thank you!
Most welcome!
Thanks! This helped me a lot. Keep up the good work!
Hey man thanks a lot for the help i really understand the equations and problem solving.
Glad to hear that, thanks for posting your comment!
This is the best explanation ever thank you
That is the best comment ever, thanks!
You are amaizing teacher.
Very nice of you to say.
it is great to me to know how to solve the equation and
i really enjoy your video also the way you explain thank you .
Thx great video even 9 years later
Glad you liked it!
Very good this was very helpful and simplistic in understanding this equation for a parallel circuit.
Super helpful! Thanks for making this!
Great job 👏🏿 explaining..I really appreciate it!
My pleasure, thanks for watching!
Thank you. These videos helped me so much
superb videos, i know with your help i will fly through my exams. Thanks......
Excellent, hope they go well. Thanks for commenting.
You can see a listing of all my videos at my website, www.stepbystepscience.com
Clear and concise! well done!
Thanks, everything Step-By-Step in fact you can see a listing of all my videos at www.stepbystepscience.com. Thanks for the comment.
Thankyou so much for making these videos!!! Extremely helpful!!!!
Natalie Falk Just for you, thanks for the comment.
yo thank you so much sir, you really did clear things up for me.
Glad to hear that! You're very welcome.
Thank you for this wonderful explanation.Please do more of these
Thank you, I will.
Thanks a lot 😊..
Your video is helpful for me
Glad to hear that, and you're welcome!
God bless you. Gracias amigo!
de nada!
This video was very useful. Thank you so much!
You are very welcome, thanks for watching and commenting.
Thanks Brian, good plain simple steps.
That is the goal.
You can link to all my videos at my website: www.stepbystepscience.com
Thank you 🙏🏿
Thank You so much you saved my life 🙏🙏🙏
+Tarik Masud You are very welcome. You can see a listing of all my videos at my website, www.stepbystepscience.com
many thanks for simply made video. helped me so much .
great, thanks for commenting
Thank you very much you explain all clear........
You are very welcome, thanks for the comment.
Very easy to understand thank you so much
You are welcome
Thanks very much,so fascinating lesson,be blessed
Thanks for watching and the great comments.
Please keep up the good work...
Thanks so much!
your explanation is good sir, thanku