Magnetism doubt

Shouldn't the force be 0 as the loop is closed and therefore, dl vector (displacement vector) is 0 Pls ignore the stuff I have written with the blue pen
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Fusion
FusionOP2w ago
Magnetic field is varying but it's given that it's a constant B near the periphery which is why I feel like the net force should be 0
Sukritya
Sukritya2w ago
In reality this type of magnetic field is not possible as it violates maxwell laws....(div.B=0)....fir the sake of question/illustration u can consider it and solve this...
Fusion
FusionOP2w ago
I see Thanks
Monishrules
Monishrules2w ago
? the force is acting perpendicularly dl is just a quantity here not a vector
Fusion
FusionOP2w ago
Hm?
Monishrules
Monishrules2w ago
its a vector for each element
Fusion
FusionOP2w ago
Wdym it's not a vector Dl is the displacement
Monishrules
Monishrules2w ago
the direction of force is perpendicular to the plane of the irng if you write it in vector form its integral of i(dl cross B) which cant be exactly integrated over with normal integration im not aware of vector calculus each element dl is experiencing a force say df perpendicular to the ring
Fusion
FusionOP2w ago
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Fusion
FusionOP2w ago
This is given on the next page The force is 0?
Monishrules
Monishrules2w ago
the b is radial
Fusion
FusionOP2w ago
B is perpendicular to the plane in this case but the reasoning is the same Integration of dl vector is 0
Monishrules
Monishrules2w ago
in that question
Fusion
FusionOP2w ago
@Monishrules
Monishrules
Monishrules2w ago
thats for if b is uniform the magnetic field is uniform over the entire plane vectorially but in that situation its constant in magnitude only
Fusion
FusionOP2w ago
The magnetic field in the question I originally asked is also uniform Read it carefully B near the periphery of the ring is same
Monishrules
Monishrules2w ago
the magnitude is the same
Fusion
FusionOP2w ago
Ah you mean the direction is diff
Monishrules
Monishrules2w ago
the diagram illustrates that B is perpendicular at all points yes
Fusion
FusionOP2w ago
True. I noticed that after you pointed it out So the integral cannot be evaluated, right? (At least within the bounds of the syllabus)
Monishrules
Monishrules2w ago
yes so we just take the vector part out of the integral and since its all in the same direction we integrate around the loop magnitude wise
Fusion
FusionOP2w ago
But why didn't that yield zero As ultimately dl was left within the integral As dl (displacement vector) should be 0
Monishrules
Monishrules2w ago
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Fusion
FusionOP2w ago
But then why is net force in a current carrying loop in a uniform electric field zero It's zero because dl vector evaluates to 0 I don't understand what you're trying to say dF= BIdL but I don't understand what exactly happens when we integrate it
Monishrules
Monishrules2w ago
@Fusion
Fusion
FusionOP2w ago
Yes?
Monishrules
Monishrules2w ago
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Monishrules
Monishrules2w ago
b vector likhna chaiye tha left me sorry i have to go you can ping someone else if theres confusion
Fusion
FusionOP2w ago
Alright Thanks
Opt
Opt2w ago
Sorry about how late I am, but did you get this?
Sephrina
Sephrina2w ago
we ok here? u understand it? or still some doubt?
Fusion
FusionOP2w ago
We alright +solved @Monishrules +solved +solved @Monishrules
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