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1 vote
1 answer
93 views

Distance becoming equal to displacement

Consider a charged particle of charge q and mass m being projected from the origin with a velocity u in a region of uniform magnetic field $\mathbf{B} = - B \hat{\mathbf{k}} $ with a resistive force ...
Srish Dutta's user avatar
2 votes
2 answers
1k views

Finding the distance from a point a distance $z$ above the center of a square to any point on the edge

I was working on an electrostatics problem that I thought I was doing correctly. However, upon reading the solution I see I was not. I will post my attempt and the solution below and then ask a few (...
Numerical Disintegration's user avatar
1 vote
1 answer
102 views

Can we have vectors with vectors as components?

I was working on my course on Electrodynamics earlier today, when I was tasked with computing the eletric field of a non-trivial charge distribution, and it struck me that I had a field with ...
DerpyMcDerp's user avatar
0 votes
1 answer
765 views

Calculate change in radius for some change in electrostatic potential energy.

A sphere of radius $R$ has a charge $Q$ distributed uniformly over its surface. How large will a sphere that contains $90\ \%$ of energy stored in electrostatic field of this charge distribution. ...
user avatar
2 votes
1 answer
151 views

Equations of motions for a spin interacting with a magnetic field.

Consider the Lagrangian $$L(\theta, \phi) = (-1+\cos \theta) \dot{\phi} + \mathbf{B}\cdot \mathbf{n}$$ Where $\mathbf{B}$ is a constant magnetic field and $\mathbf{n}$ denotes a point on the unit ...
FH93's user avatar
  • 1,198
0 votes
0 answers
1k views

Bound surface current density on rotating sphere.

For solid sphere of radius R, azimuthal angle $\phi$ and polar angle $\theta$ rotating at velocity $\vec{v}$ with uniform surface charge $\sigma$ , the bound surface current density is $\vec{K}=\...
Mathematicing's user avatar
2 votes
0 answers
321 views

Galilean transformation law for electric and magnetic fields

Under Galilean transformations between a frame A and another frame B in which A is moving with constant velocity $\mathbf V$, a velocity $\mathbf v_A$ is frame $A$ is seen as $$\mathbf v_B = \mathbf ...
user361396's user avatar
2 votes
1 answer
115 views

Dipole-Coupling Tensor: Electrostatic Dipole Moments

I've been struggling with this problem today. Here's an image of the question I'm attempting to answer. I'm relatively new to tensor algebra (I've been studying it for about a week or two), and I've ...
Jeesubmunu's user avatar