Recent content by Nero26

Thanks all, Now I've got it.I was wrong in interpreting the question, ar is meant for cylindrical coordinates and aR for spherical coordinates in my book.

I still can't get it.Here, ar is the unit vector along radius of sphere. E is independent of θ and ø so their partial derivatives of E will be zero. ∴ ε∇.E=-\frac{40ε}{r^3},so where am I doing wrong? Thank you for your response.

Hello, anraphy The particles have different masses but have equal charge.So when it's accelerated through same potential difference, they will gain equal electric energy=Vq=kinetic energy Vq=.5m1v12=.5m2v22 ∴m1/m2=(v2/v1)2 Similarly when entering in Magnetic field due to different velocities...

Homework Statement Given, E=ar20/r2 (mV/m) in free space,find ρv at the point (3,-4,1)(cm). where, ρv=Electric charge density per unit volume E=Electric field intensity Homework Equations ∇.(εE)=ρv The Attempt at a Solution ε∇.E= -2\frac{20ε}{r^3} for point (3,-4,1)(cm)...

Thanks a lot haruspex :)

What have you meant by "A and B have symmetric roles" here? Please explain a little more. And what about the second fig, that if C is in between A and B on AB, then can it divide AB externally? Sorry for bothering you. :confused:

Thanks for your response. I'm trying to know if C is on line segment between A and B (fig 2) then can it divide AB externally or not? In the link it says C divides AB externally in the ratio AC:AB =m:n, is it correct or not? Sorry for not stating clearly. In (fig 1) if C divides AB...

Suppose AB is a straight line segment. To divide the segment externally at point C in the ratio m:n, is it necessary for C to remain always outside of AB? I always thought C should be outside of AB, but the post in the link below confuses me...

Thanks to all. You all are of great help. I think I can learn a lot from PF.

Thanks a lot for your help, so 'i' is considered as a single complex number.

Hi all, This is a little problem I'm unable to figure out, in CMPLX mode of my calculator 25i*20i/5i=-100i But 25i*20i/(5i) = 100i, Here i=sqrt(-1). What is the difference between these two expressions? Thanks for your help.

Thanks to all for your help. I couldn't understand this line, ##\sum_{i=1}^{m+h} a_i - \sum_{i=1}^m a_i=\sum_{i=m}^{m+h} a_i## ##\sum_{i=m}^{m+h} a_i=a_m+a_{m+1}+a_{m+2}+...+a_{m+h}## (assuming h is some integer)But terms upto ##a_m## should be canceled by ##\sum_{i=1}^{i=m}a_i## then what...

m^2+m^2+m^2+...up to m term =m^2*m=m^3 Which is identity .So we use derivative for this identity. Now, d/dm(m^2+m^2+m^2+...up to m term)=d/dm(m^3) Or 2m+2m+2m+...up to m term=3m^2 Or 2m*m=3m^2 Or 2m^2=3m^2 but it is not possible.So there should be some mistakes.But I'm not getting it. What...

Sorry,I exactly didn't get you. I think PDE=partial differential equations.If so with respect to which variable x,y,or z or all of them? Please say something more, Thanks a lot for your help.

Thanks a lot for your help. Now I got it, I've to integrate it w.r.t. y to get ##f_y(y,z)## to get f(y,z),Right? Btw, I've got a new problem,F=i(x3z-2xyz)+j(xy-3x2yz)+k(yz2-zx) is a solenoidal vector field.I've to find a V such that F=∇XV So,now it comes to find a vector field from its...