What is the significance of the 'kad' symbol in the charged-ring formula?

  • Thread starter Thread starter Jeff18
  • Start date Start date
  • Tags Tags
    Formula
Jeff18
Messages
2
Reaction score
0

Homework Statement



A ring having a 10cm radius has a positive uniform density charge of 119,37 uC/m. Determine the electric field on the ring's axis at 5cm from the center of the ring.

Homework Equations



I used the equation E=2pi kad sigma/(a^2+ d^2)^(3/2). My question is related to the kad symbol. Does it have a real importance, and if so, what is it significance and how can I use it?!
Thanks

The Attempt at a Solution

 
Physics news on Phys.org
Hi Jeff, welcome to PF !:smile:

Jeff18 said:
I used the equation E=2pi kad sigma/(a^2+ d^2)^(3/2). My question is related to the kad symbol. Does it have a real importance, and if so, what is it significance and how can I use it?!

I think you'll find that you will have much more success in your Physics studies if you make an effort to understand the formulas and their derivations rather than just looking them up or memorizing them. In this case, it seems as though you have simply looked up a formula in your text or on the internet, without even taking the time to look at which symbols the author is using for which constants and variables; let alone applying any of the physics knowledge your course likely has been teaching to derive the formula yourself.

Now, that being said; kad is not even a symbol, but rather 3 symbols (k, a and d) multiplied together. k=\frac{1}{4\pi\epsilon_0} is Coulomb's constant, and the other two symbols are the radius of the loop and the distance along the loop's axis to the field point.

Again, I strongly recommend that you take the time to study the relevant chapters of your textbook and try your hand at deriving this formula yourself!
 
Thanks! I realized i made that mistake right after posting my question! The characters in my textbook were real tight! ;) Thanks also for the advice of understanding formulas rather than memorize them! Though that's what i usually do, it's always good to have someone remind you! ;)
 
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