Biot Savart law (vector form) | Moving charges & magnetism

Biot Savart law (vector form) | Moving charges & magnetism | Khan Academy

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3 жыл бұрын

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

Пікірлер: 160

@hamdimohammed2541 2 жыл бұрын

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@mayubrilliantabacusacademy6547 3 жыл бұрын

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@cringenatao7158 2 жыл бұрын

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@yanbingzhu2550 2 жыл бұрын

For each tiny segment, do we have to do a vector sum?

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@krasimirronkov17 3 жыл бұрын

Can you make a video explaining capacitors

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@allison7612 Жыл бұрын

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?

@tasneem6427 3 жыл бұрын

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@JamesShakya-ci8du Жыл бұрын

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@VincentAlesi 8 ай бұрын

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@pratiklingarwar874 9 ай бұрын

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@crossmindzgaming7998 9 ай бұрын

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@saisingireddy2359 2 жыл бұрын

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@user-cc7ks7re3w 2 жыл бұрын

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??

@felixwegmuller351 2 жыл бұрын

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

@user-cc7ks7re3w 2 жыл бұрын

@@felixwegmuller351 Thank you ☺️

@oreowithurea5018 Жыл бұрын

@@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

@sakshimadhesiya1406 3 жыл бұрын

Nice😎

@shuhashtalukder4053 Жыл бұрын

Thanks

@muskansiddikee2171 3 жыл бұрын

Man I feel so bad that I did not have such great teachers before.

@Gowrinaidukanimeraka 2 ай бұрын

Better use slap rule than right hand Fleming rules .... Arun maheshwari sir though me slap rule you could enjoy this rule than Fleming rule

@catherinefernandez9654 2 жыл бұрын

Why is it r^3 in my textbook not r^2..

@devanshrocker1349 Жыл бұрын

Watching this before 6 hours before exam (time:-1:54AM) 😀

@sreenathjohnsonsaysnotolgbtq Жыл бұрын

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@kennethcarlprado1606 3 жыл бұрын

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@namenotfound1118 10 ай бұрын

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?

@whitedaisy2263 5 ай бұрын

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.

@dhruvadamle7627 2 жыл бұрын

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

@lijojosef 10 ай бұрын

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

@chetanganachari4882 22 күн бұрын

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

@TripuriansYT 15 күн бұрын

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

@kaushikb2819 3 жыл бұрын

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?

@rinzler3202 3 жыл бұрын

hello kaushik rcap can also be said as r vector . r = so it becomes rvector / r^3

@hemavathy9806 2 жыл бұрын

Did you mean by substituting r cap=(r vector/magnitude of r vector)?

@rinzler3202 2 жыл бұрын

@@hemavathy9806 es

@hemavathy9806 2 жыл бұрын

👍

@kaushikb2819 2 жыл бұрын

@@rinzler3202 ahh I see...thank you 😀

@firstnamelastname492 9 ай бұрын

Nice video, greetings from Arizona

@iqraafzal517 7 ай бұрын

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...!

@whitedaisy2263 5 ай бұрын

Watch previous videos.