All Questions
8
questions
1
vote
1
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93
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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 ...
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 (...
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 ...
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.
...
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 ...
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}=\...
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 ...
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 ...