Formula confusion for magnetic field inside capacitor

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SUMMARY

The discussion centers on the confusion surrounding the formula for the magnetic field inside a capacitor, specifically referencing Maxwell's addition to Ampere's Law. Participants emphasize the importance of understanding that the magnetic field results from the changing electric field as the capacitor plates charge. A link to HyperPhysics is provided for further study. The conversation highlights the necessity of clear communication in academic inquiries, particularly when sharing formulas or equations.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Familiarity with Ampere's Law
  • Basic knowledge of electromagnetic theory
  • Proficiency in integral calculus
NEXT STEPS
  • Study Maxwell's equations in detail
  • Learn about Ampere's Law and its applications
  • Explore the relationship between electric and magnetic fields
  • Review upper-level undergraduate electromagnetism course materials
USEFUL FOR

Students in physics, particularly those studying electromagnetism, educators teaching E&M concepts, and anyone seeking to clarify the relationship between electric fields and magnetic fields in capacitors.

Suyash Singh

Homework Statement


Uploaded question(the formula in c part)
And can you tell me in which all cases that formula is used.

Homework Equations


Just want to know where the formula in c part has come from.

The Attempt at a Solution


Sum of magnetic fields due to circular plates calculated and added but that seems to be wrong method here.
I just need some kind of site to study that formula.
Thankyou
 

Attachments

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    Screenshot_20170827-212414.png
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UPLOAD didn't seem to work. What file type is it?
 
berkeman said:
UPLOAD didn't seem to work. What file type is it?
.png
 
I think that file type is supported, but I'm not sure. Are you on a laptop or a phone?
 
Suyash Singh said:

Homework Statement


Uploaded question(the formula in c part)
And can you tell me in which all cases that formula is used.

Homework Equations


Just want to know where the formula in c part has come from.

The Attempt at a Solution


Sum of magnetic fields due to circular plates calculated and added but that seems to be wrong method here.
I just need some kind of site to study that formula.
Thankyou

I can see the image but it is virtually unreadable.

Please go back to the basic PF standard and just type out the expression you are interested in. Most helpers will not even bother to look at an uploaded image, and when it is unreadable they will just go away, unwilling to help.
 
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Suyash Singh said:
Just want to know where the formula in c part has come from.
It comes from Maxwell's addition to Ampere's Law. You can use that to solve for the magnetic field in between a capacitor, but they just did the work for you. Here's a link to the hyperphysic's page on Ampere's Law http://hyperphysics.phy-astr.gsu.edu/hbase/electric/maxeq2.html#c4

The magnetic field is the result of the changing electric field as the capacitor plates charge. Also, actually solving for formulas like that is typically an upper-ish level undergraduate E&M course task (requiring integral calculus, curl, etc.) so don't worry about it too much if you're not there yet.
 
  • Like
Likes   Reactions: Suyash Singh
thankyou.
I will type out the question next time.
 

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