magnetics
a spherical shell of radius R and uniform surface charge density sigma is rotating about its axis with a consant angular velocity omega. find magnetic field at centre
69 Replies
posting my attempt in a sec
@Gyro Gearloose
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(should taken radius Rsintheta instead of xtantheta)
@Real potato help needed
Just give me 5 mins im on my way to home
alr
well limits 0 se pi hogi but that doesnt make any diff to the ans
Ans is u sigm r w
Ye to nahi?
@hardcoreisdead o
nope
Fir kya hai?
solve karlo
ans bata dia toh youll try to reach that
Im getting u sigm r w only
its less than that
Uh
Let me see kuch glti krdi shyd
k
2/3 it is
@hardcoreisdead
yep
Let me see tumne kya gadbad kri hai
sin^3 theta aaja cheye
Ek extra sin kaha se aagya
di se ek sin aaya
r^r se sin^2
and dx se ek aur
@Real potato mila?
how tyo integrarte cos^2 theta
cos2x = 2cos^2x-1
oh
bruh
oops
wu/8 right
u is mu naught and w is omega
@hardcoreisdead
Ruko dekhra hu
way off
ok
Ye formula konsa lagaya hai tumne?
tumne kaise kara?
ring
Mene to biot savart law se kia
rings
magnetic field on axis of ring
Um
Ye formula lagane se ig kuch plm aara hai
Kuch field ya to Cancle out hora hai jo isse formula me account ni hora
har element ki add hogi imo
Ha shi keh rhe
@hardcoreisdead ek bar calculation check kr bhai
dude 2 baar karli
Ek sin theta extra kaha se aara tera
Aayega to sin^3 hi
Me likh k bheju solution?
mein radius Rsintheta aur xtantheta dono leke dekha hai
same shit
yehi aa rha...sigma bhul gya... wusigma/8
Isse thodi kuch farq pdega re
exactly
Ho na ho Kuch calculation error hai
dono se same aa rha
Method thek hai
@hardcoreisdead ky ahai ans
mil nhi rha :sib
Rukja fir me likh k bhejta hu check kr lena kaha tumne gadbad kri
ring wala result hi use karna pls
Oky
Sorry di likhna bhul gya di= sigma w R^2 sinQdQ
@hardcoreisdead samjhe?
dx = Rdtheta gives me the correct ans instead of Rsintheta(dtheta)=dx
this also removes one sinx
Ha to yehi galat kia na tumne
mera dx is small element in y axis and not along the sphere
dx= Rdtheta lena hai
dx ki value RdQ hi hogi
han
Acha wo x and y ulta lia hai na
nahi
dx is thickness of shell
along the sphere
but meine differentiate karke y axis mein dx le lia
Acha acha
dx wgera lia hi mt kar
theta ke terms me hi likha kr
Confusion badhta hai zyada variable banayega to
2 pi rcostheta * r dtheta hoga na area
costheta kyu aayega bhai
Sin ayega
😭
Perpendicular lia na
horizontal is theta liya
uss ring ka radius will be r cos theta na
uske circumference * thickness will give area
Yup
@Imine close kardu?
yep
+solved @Real potato
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