Electric field
Saw this question in a server, found it wonderful but the solution they gave was SOOOO long, I wanna know if a easier way is there
39 Replies
@Gyro Gearloose
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.Can we relate the magnetic field and electric field?
No wait ye to insulating rod hai
Guass law?
@SirLancelotDuLac sirr
gauss law cant be used cause first its infinite.
second each point on the rod has a small charge and its at different distance from our concerned point P so u will need to take multiple gaussian surfaces for each point and in that consider an infinitesimal fraction of that flux and add (pretty much integration. but this seems tedious to derive..)
if we have to toil so much
integration of horizontal and vertical components (the solution u prolly saw) is better
It's not infinite, yeah I got why gauss law can't be used
How about this?
Okay, gauss law won't work for this, but if we are only concerned with finding the value, we can do this thing
Consider 2 cases: one where d>>>L then the line charge acts as point source; and one where d<<<L, the line source will act as an infinite line source
Linear density le ke nahi kar sakte
So for case 1 $\frac{k.\lambda.l}{d^{2}}$ and for 2nd one $\frac{2k.\lambda}{d}$
SirLancelotDuLac
Kyunki l ka aur angle to hai hi
Hain alag alag kaise
Yeah what I'm describing this not precisely solution, it's more of how to make a tukka 😔
Are sahi sahi batao 😭😭
Otherwise solution is via integration
Par kyu ?
Ye sahi hai?
Kyunki har ek charge alag tareeke se repel karega and so on
To is Wale ka integral karna hoga?
Yep this is correct
Jo formula hai woh integration se aata hai
To ye seedha kar sakte haina
I mean if you know the formula then yeah.
Jinka original tha unka sol to smj hi nhi aaya
Hn ye to pata hai
This is basically derivation of the formula
😭
Wait I'll try to write this out cleaner
Okk
Bro had to do it on a single paper only🥀
The bhoomika wala part
The gadit wala part
Do ping if any doubt
@Sephrina
Also retirement kabh milega 🥀
🙂
Tan theta kyu nikal rhe 😭
Hume to electric field nikalni hai
See the sqrt(d^2+x^2) wala part?
Usko solve karne ke liye we use substitution
The Organic Chemistry Tutor
YouTube
Trigonometric Substitution
This calculus video tutorial provides a basic introduction into trigonometric substitution. It explains when to substitute x with sin, cos, or sec. It also explains how to perform a change of variables using u-substitution integration techniques and how to use right triangle trigonometry with sohcahtoa to convert back from angles in the form o...
To usme tan kaha hai
If we do x=dtan(theta) toh x^2+d^2 gives d^2sec^2 which is a clean term to work with.
Oooo okeyy
Makes sense
🙂
Math
Koi nhi
Never mind that last part sorry
But yea...
Koi nhi
+solved @SirLancelotDuLac
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