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
No description
35 Replies
iTeachChem Helper
@Gyro Gearloose
iTeachChem Helper
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
Fusion
FusionOP4mo 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
Sukritya4mo 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
FusionOP4mo ago
I see Thanks
Monishrules
Monishrules4mo ago
? the force is acting perpendicularly dl is just a quantity here not a vector
Fusion
FusionOP4mo ago
Hm?
Monishrules
Monishrules4mo ago
its a vector for each element
Fusion
FusionOP4mo ago
Wdym it's not a vector Dl is the displacement
Monishrules
Monishrules4mo 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
FusionOP4mo ago
No description
Fusion
FusionOP4mo ago
This is given on the next page The force is 0?
Monishrules
Monishrules4mo ago
the b is radial
Fusion
FusionOP4mo ago
B is perpendicular to the plane in this case but the reasoning is the same Integration of dl vector is 0
Monishrules
Monishrules4mo ago
in that question
Fusion
FusionOP4mo ago
@Monishrules
Monishrules
Monishrules4mo 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
FusionOP4mo 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
Monishrules4mo ago
the magnitude is the same
Fusion
FusionOP4mo ago
Ah you mean the direction is diff
Monishrules
Monishrules4mo ago
the diagram illustrates that B is perpendicular at all points yes
Fusion
FusionOP4mo 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
Monishrules4mo 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
FusionOP4mo ago
But why didn't that yield zero As ultimately dl was left within the integral As dl (displacement vector) should be 0
Monishrules
Monishrules4mo ago
No description
Fusion
FusionOP4mo 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
Monishrules4mo ago
@Fusion
Fusion
FusionOP4mo ago
Yes?
Monishrules
Monishrules4mo ago
No description
Monishrules
Monishrules4mo ago
b vector likhna chaiye tha left me sorry i have to go you can ping someone else if theres confusion
Fusion
FusionOP4mo ago
Alright Thanks
Opt
Opt4mo ago
Sorry about how late I am, but did you get this?
Sephrina
Sephrina4mo ago
we ok here? u understand it? or still some doubt?
Fusion
FusionOP4mo ago
We alright +solved @Monishrules +solved +solved @Monishrules
iTeachChem Helper
Post locked and archived successfully!
Archived by
<@895699982265511976> (895699982265511976)
Time
<t:1748431573:R>
Solved by
<@861908747444813845> (861908747444813845)

Did you find this page helpful?