Biot Savart law (vector form) | Moving charges & magnetism | Khan Academy
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- เผยแพร่เมื่อ 2 ต.ค. 2024
- Biot Savart law states that the magnetic field due to a tiny current element at any point is proportional to the length of the current element, the current, the sine of the angle between the current direction and the line joining the current element and the point, and inversely proportional to the square of the distance of that point.
The direction of the magnetic field is in the direction of dl cross r. You can also use the right hand clasp rule to figure out the direction.
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Created by Mahesh Shenoy
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It's crazy how paid teachers have much lower efficiency in delivering the knowledge than you guys, if I one day become rich I would like to support you guys handsomely!
Thank you.
yeah I feel like I waste my time going to class, this is so much easier to understand
thats true man
Btw, I do get paid!
I feel the guys
@@Mahesh_Shenoy lol
Clear to understand,even for slow learners. And you handwriting is impeccable. Keep up the good work.❤️
U don't say it but u too have different colors for everything 😂(like sal)
Imagine the efforts and time he puts into One single video 😳
@@tasneem6427 Around 4-8 hours! :)
@@KhanAcademyIndiaEnglish 4-8 hours for one single video?🤯😳. That's crazy! Thank you so much ❤
@@KhanAcademyIndiaEnglish which is why your videos are AWESOME!!
@@KhanAcademyIndiaEnglish that's so commendable. Thanks a lot for making our learning easier 😊
Why do we even go to college when there is you guys...
For refreshment🤞
Literally
blud studying this in college? this is highschool physics
@@Devilhunter69 college tends to deepen what you learn in highschool in my experience. well actually i'm in university but anyway. i'm doing computer science so the physics level is closer to high school level but still bit higher than what i learned in highschool. it uses basically the same material but has more explanation and where the formulas are from and uses more calculus.
plz complete total magnetism..my intrest is only alive due to u...huge respect
i am totally agree
I agree too
even the most famous( in India) physicswallah teachers could not explain this. THANK YOU SO MUCH!
See alakh sir old lecture
@@funwalamunKaun si video alakh sir ki?
your handwriting
Thank you for this video !! You're an excellent teacher !!
Sir one doubt, in the textbook and other sources the vector form of Biot-Savart law has r^(3) but yours is r^(2)... Can you please clear my doubt??
You have to use r^3 if you dont use the unit vector. the guy used unit vectors which is why he uses r^2. for more info you can look at the english wikipedia article about biot-savart
@@felixwegmuller351 Thank you ☺️
@@user-cc7ks7re3w the other explained it pretty well, you can either use unit vector in the direction of radius to denote the vector for radius, or just simplify the unit vector which turns out to be
*r* /r , plug this value instead of unit vector and you'll get the textbook equation
Your explanations are awesome 👌. So many concepts in just one video.This kind of study material will get any student interested in the subject. I don't think I have to revise it again. Thank you so much.
yes they are. but who asked? Im genuinealy curoius
Make more videos of chemistry and physics
You are a great teacher, all your videos are just awesome.
i will never over the fact how good his writing is
Watching this before 6 hours before exam (time:-1:54AM) 😀
This topic was masterfully explained with the right amount of visuals to help while the diagrams were still simple. Thank you!
Sir ,you are amazing ,
Please make more contents of physics class 12 🥰🥰
I have to learn this at class 10
@@SHADOWLEGENDDRAWS sed lyf
@@harshvardhanmankotia6492 👀 why am i finding u everywhere
so worth the time, keep up the good work :)
Wow thank you for the simplest explanation i ever seen
Bro trying to have an accent he dont have 💀
This is exactly what I needed! Thank you! Explained it very well.
Thanks! Great video!
What tools are you using to do this demo ? It's very cool
Can you make a video explaining capacitors
tell me right now! What program are you using to draw?
Thankyou for making learning physics easy as well as interesting💜🙏
If physic were taught by Disney (i'm referring to the stellar handwriting) :D
You earned 850 Energy points.
oh wait.. wrong website
Isn’t this finding just the magnetic field as it is affected by the length of dl? So to find the total force applied on a single point you would need to do multiple equations? Or should you just use the perpendicular measurement (since it is where force is strongest) for an estimate?
This was awesome!
Anyone who comes from k.k wagh institute????
Thank you.. May god bless you
Pls Quickly complete this chapter sir 🙏🙏🙏
That handwriting... Damn
Aise animation se jaldi samj ata hai sir aap aise video upload karte rahiye...
Nice😎
Hey man I’ll just say it, you’re awesome!
I appreciate your efforts.
But you lacked in explaining why magnetic field changes when we change angle. You just explained the effect but skipped the cause...!
Watch previous videos.
shouldnt it be r3 up
Do you use a mouse or a pen I have to know. Please. Its for a project.
Very disappointing to hear someone abusing 0:28 while teaching. Very shameful!
Come here to study not to judge. (He didn’t abused)
Abuse?
Sir in NCERT it is given that in vector form the distance is r^3 but you mentioned it as r^2...please clarify it
We know r is a unit vector
So, r^ = r(vector)/ |r|
Or, r^ = r(vector)/r
Since, |r| = r
So, put the value of r^ then you get r³
thank you indian dude coming in a clutch 🤲
This is the first video I watched from this channel and it already earned a subscriber!🫡
why only dl vector cross r vector why not r vector cross dl vector. Could anyone explain or which one of your videos explain this?
Concept: Vectors - Cross Product
Suppose we have two vectors,
A=2i+3j and B=4i−j where i and j are unit vectors along the x and y axes, respectively.
The cross product
A×B is given by:
A×B= ∣ i j k ∣
2 3 0
4 -1 0
Now, calculating the cross product;
A×B=(3×0−(−1)×0)i−(2×0−4×0)j+(2×(−1)−3×4)k
we get:
AxB =0i-0j-12k
A×B= −12k. [It is in the negative z- axis]
But in this case if we do B x A:
By doing the same method again as shown above but putting values accordingly.
Mathematically the relationship is expressed as:
B x A = - ( A x B )
A x B= -12 (as calculated)
B X A = - (-12k)
= +12k [it is in Positive Z axis]
Difference in the direction!! Similarly, we cannot write r x dl.
ThankYou! ❤️😀
For each tiny segment, do we have to do a vector sum?
Why is it r^3 in my textbook not r^2..
In his equation, he has taken the unit vector of r that is r cap. But in textbook it is vector r which is equal to the unit vector times the magnitude of r so we have to multiply r on numerator and denominator to get
db = μ0/4π x I dl × vector r/r^3
Aaaa thank uuu 😭😭😭
Thaks for sharing this vdo,it helps a lot
0:01
okay now this was a life-saver
I appreciate it thank you :)
i ike the way u teach.. well explained sir.
I am doing a Master's degree, but still like watching Khan Academy from time to time =)
Better use slap rule than right hand Fleming rules .... Arun maheshwari sir though me slap rule you could enjoy this rule than Fleming rule
This is one gem of a video
Great content!!!
Love u Mahesh sir❤
Nice explanation 👍👍👍
by any chance were you born in South India and moved to New-York or California?? Just curious about your accent. Great video by the way it was very very helpful
This is Anand Srinivas, reason for Byju’s initial exponential growth. His lectures are still there on Byju’s channel. He’s from Tamil Nadu and a BTech grad from NIT Trichy
Sir Hindi me hi padhaiye aap
Hey here's a doubt, our NCERT books say idl*r^
^3 but u hv written r^2 instead of r^3 so which one's right?
hello kaushik rcap can also be said as r vector . r = so it becomes rvector / r^3
Did you mean by substituting r cap=(r vector/magnitude of r vector)?
@@hemavathy9806 es
👍
@@rinzler3202 ahh I see...thank you 😀
Why you take DL as a vector??? (Length is scalar) 😅
It helped a lot. Thank u
What a great visuals used in Khan Academy video ❤
this explanation is amazing..unlike 1 hr videos,it saves time and the teaching is too good.
Thank you💐💐
I give up already...maybe cause I've got no idea about vectors and I'm supposed to be doing this chapter as I'm in class 10...but I have to do all these complex things because they are important for competitive exams...why do they do this to us...😭😭
Electromagnetics is hard bro, just keep pushing and grinding through. You got this
In India we pronounced as it is given in book like biot savart law 😅😅
plz tell what device do you use to write such flawlessly ???
Nice video, tnx for the explanation ❤
the real problem is he drew the direction of the current in a wrong direction.
Hey in ncert textbooks we have inversely proportional to r^3 relation but here it is r^2. also your calculation from solving vector equating down to magnitude equation
is wrong
Notice that in ncert the cross product is between dl and r VECTOR(and not r cap)... r vector is essentially the magnitude of r multiplied by unit vector of r(r cap)
Therefore,
dB = I dl × r / r³
= I dl × mag(r).r cap/r³
The magnitudes in the numerator and denominator gets cancelled and we're left with
dB = I dl r cap / r²
both derivations are equivalent. You can use either
Hope this helps
You teach so nice, please make video for engineering also
Sir can you make video on Capacitor RC circut?
God bless sir
His voice accent and teaching feel like heaven
So imagine this. You can't use the right hand rule to find the vector. Then what? This video sadly doesn't cover this.
In what case/example can you not use the right hand rule? I’m new to this stuff so I’m genuinely curious
Very clear explanation. Thank you!
thank you
Amazing Video....Was very helpful
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i like your hand writting
nice explanation
Thanks❤
Such a talented teacher. Thanks a lot.
Thank you, Mahesh, very cool
I've figured out a way to avoid the slurrping sound..and the weird accent.. yay.. I watch this at 1.5 and all that sound is gone..yay
Good for you lmao....or maybe not watch it all ... complaining about smth u get to see for free... entitled sm??
@@amalin2010reloaded welll..today there are tons and tons of free stuff online.. but since he explains so well.. I chose him over many other youtubers.. I like the intuition part.. but his accent and all that slurping makes me cringe really hard.. when i see a big lip.. i feel like biting into em.. even though that has kinda grossed me out....
Anyway..
I'm not going to get into all the weird stuff that makes me cringe.. ..whatevs.. I never disrespect a teacher.. but he has a weird accent.. plus I don't complain
🙌🙌🙌🙌
Why (dl × r ).not (r × dl)
Sorry, i do not know in detail 😅 . What i know is, in cross product, the order matters. The direction of the magnetic field will change if u take (r x dl) instead of (dl x r). The direction will be in accordance with the "right hand rule". if u take (r x dl), your magnitude will be the same, but your direction will be opposite to that of the right hand rule. Thats what i know😅.
@@milandas2128 thank you
Great explanation wow tnk a lot
0:01
quality through the roof
Really nice explanation
thanks so much sir
Acceptable teacher and teaching ♡☆
Thank you so much sir
Extraclear, extraexplained extrasimple
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Teacher gets ⭐⭐⭐⭐⭐stars
thank youuuuu