Recent content by Philosophaie

What happens first Sun Red Giant or Andromeda collision?

A stationary Monopole exist at the Origin. 1)##\vec{B} = \frac{g \hat r}{4 \pi r^2}## 2)##\vec{E} = \frac{e \hat r}{4 \pi \epsilon_0 r^2}## 3)## - \nabla \times \vec{E} = \frac{\partial \vec B}{c \partial t} + \frac{4 \pi}{c} \vec{J_m}## 4)##\nabla \times \vec{B} = \frac{\partial \vec E}{c...

##r_r## is the radial part of a vector from the origin to an arbitrary point to be examined: ##\vec{r} = r_r \hat r +r_\theta \hat \theta +r_\phi \hat \phi##

Antisymmetric rank 2 tensor has six independent components which correspond to the three components of the electric field three-vector and the three components of the magnetic field three-vector?

Even thought it is not a 4-Vector can it have a ##B_t## component?

A stationary Monopole exist at the Origin. I am trying to get an understanding of the time derivative of a Four-Vector of ##\vec{B}## and ##\vec{E}## ##\vec{B} = B_r \hat r + B_\theta \hat \theta + B_\phi \hat \phi + \frac{1}{c}B_t \hat t## ##\vec{E} = E_r \hat r + E_\theta \hat \theta +...

Is this the correct partial derivative of B? ##\vec{B} = \frac{g \vec{r}}{4 \pi r^3}## ##\frac{\partial \vec B}{\partial r}## = ##-3\frac{g \vec{r}}{4 \pi r^4} + \frac{g}{4 \pi r^3 }(\frac{\partial r_r \hat r}{\partial r})##

No one explained to me that all the direction that I needed was give to me was in ##\hat r##. Thank you everyone trying to make me come to this conclusion.

What is different? Does x,y,z not equal r,theta,phi in post #29?

From Post #3: ##r \hat{r} + \theta \hat{\theta} + \phi \hat{\phi} = \sqrt{(x^2 + y^2 + z^2)} \hat{r} + \arctan{(\frac{y}{x})} \hat{\theta} + \arccos{(\frac{z}{r})} \hat{\phi}## Is this a true equation?

There is no direction for r.

So how do you emulate the radial component with ##\theta## and ##\phi## into one equation encompassing ##\hat r##, ##\hat \theta## and ##\hat \phi##?

Attached is a drawing. r is in a 3d box or x,y,z. On the xy plane starting on x-axis is ##\theta## starting on the arc is ##\hat \theta## as a unit vector. On the z-xy plane directly down from r to the xy plane. Starting from the z-axis to r to the xy plane is ##\phi## starting on the arc...

Look above. Post #1.

Uncertain how to convert x,y,z to ##(\hat r, \hat \theta, \hat \theta)##. Can you give a hint?