What Is the Energy of a 1m Magnetic Field with 1T Strength?

pivoxa15
Messages
2,250
Reaction score
1

Homework Statement


If a magnetic field has length 1m and strength 1T. What is its energy contained in it?


The Attempt at a Solution


I have no idea as I only know how to calculate energy from a volume basis.
 
Physics news on Phys.org
F=\frac{-dU}{dx}, If you solve for U, you get your general expression and plug in the values there.
 
pivoxa15 said:

Homework Statement


If a magnetic field has length 1m and strength 1T. What is its energy contained in it?
This question looks nonsensical. Did you write it down exactly as it was given to you? Where is this from?
 
The question was about the magnetic prominence which is a magnetic loop. I just simplified the data but its about a magnetic loop and finding how much energy it can contain.
 
Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
Back
Top