Recent content by Kim Gi Hyuk
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K
Undergrad What physical quantity has dimension [ML⁻³T⁻²] in electromagnetism?
Thank you, Dale, for the extended discussion. After 22 exchanges, I think our core disagreement is now clear, and I'd like to close my part of this thread with a summary of where I stand. 1. The relationships between physical quantities reflect nature, not just convention.Dimensional analysis...- Kim Gi Hyuk
- Post #23
- Forum: Electromagnetism
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K
Undergrad What physical quantity has dimension [ML⁻³T⁻²] in electromagnetism?
Do you consider dimensional analysis itself to be unit-system-dependent? Buckingham's π theorem identifies dimensionless groups that hold across all unit systems — would you call that nonsense too?- Kim Gi Hyuk
- Post #21
- Forum: Electromagnetism
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K
Undergrad What physical quantity has dimension [ML⁻³T⁻²] in electromagnetism?
Thank you, Dale. I think you make a valid philosophical observation — dimensionality is conventional, and unit choices are human decisions. I would gently note, however, that in your earlier comment you pointed out that Heaviside-Lorentz units make the dimensions of E, B, D, H, P, and M...- Kim Gi Hyuk
- Post #18
- Forum: Electromagnetism
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K
Undergrad What physical quantity has dimension [ML⁻³T⁻²] in electromagnetism?
Thank you for your response, Dale. You are absolutely right that the fundamental formulas and expressions within classical electromagnetism are, in an essential sense, complete. I would not dispute that. However, the goal of my work is somewhat different. What I have tried to do is to...- Kim Gi Hyuk
- Post #16
- Forum: Electromagnetism
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K
Undergrad What physical quantity has dimension [ML⁻³T⁻²] in electromagnetism?
Thank you for your pointed critique — I think it is largely fair. You are correct that the derivation of χ is ultimately an algebraic manipulation of Gauss's law and Ampère's law. I do not dispute that. The question I would like to focus on is not whether the manipulation is algebraically...- Kim Gi Hyuk
- Post #14
- Forum: Electromagnetism
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K
Undergrad What physical quantity has dimension [ML⁻³T⁻²] in electromagnetism?
Thank you for the pointed critique, Dale. I think there may be a misunderstanding worth clarifying. You are absolutely right that one can always multiply an arbitrary quantity by some power of ε₀ or μ₀ and obtain something with mechanical dimensions. Algebraically, nothing stops that. But that...- Kim Gi Hyuk
- Post #12
- Forum: Electromagnetism
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K
Undergrad What physical quantity has dimension [ML⁻³T⁻²] in electromagnetism?
Thank you for the feedback, Dale. You are right — I should have shown the derivation explicitly from the outset. Let me clarify how the expressions relate to Gauss's law and Ampère's law in SI units. Starting from Gauss's law: ∇·E = ρ/ε -> (∇·E)² = ρ²/ε² Multiplying both sides by ε...- Kim Gi Hyuk
- Post #10
- Forum: Electromagnetism
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K
Undergrad What physical quantity has dimension [ML⁻³T⁻²] in electromagnetism?
Thank you, WernerQH — this is exactly the kind of discussion I was hoping for. The point about E and B having the same dimension in the Gaussian system is particularly striking. In SI-based frameworks, they appear dimensionally distinct, yet the underlying physics treats them as components of a...- Kim Gi Hyuk
- Post #7
- Forum: Electromagnetism
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K
Undergrad What physical quantity has dimension [ML⁻³T⁻²] in electromagnetism?
You're right — I should have specified SI units from the start. Apologies for the ambiguity. Exactly — and that kind of identification is the core of this work. My project is to systematically map all physical quantities by dimensional structure using MLTIQNJ base dimensions (extending MLT to...- Kim Gi Hyuk
- Post #5
- Forum: Electromagnetism
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K
Undergrad What physical quantity has dimension [ML⁻³T⁻²] in electromagnetism?
Background. I have been building a systematic dimensional map of electromagnetic quantities, organized by their MLTIQNJ exponents. The map places mechanical quantities along a central vertical axis, with electric quantities to the left and magnetic quantities to the right — connected by...- Kim Gi Hyuk
- Thread
- dimensional-analysis Electromagnetism maxwell-equations
- Replies: 23
- Forum: Electromagnetism
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K
A rod that falls while rotating from the end of a table
Thanks for your comments! I will try to apply the equation for center of mass motion in a rotating coordinate system.- Kim Gi Hyuk
- Post #12
- Forum: Introductory Physics Homework Help
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K
A rod that falls while rotating from the end of a table
Thanks for your concise and meaningful expanation!- Kim Gi Hyuk
- Post #11
- Forum: Introductory Physics Homework Help
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K
A rod that falls while rotating from the end of a table
Ok, (1) I confused 'contact point' and 'center of mass'. For the center of mass, I think, is as follows in the rotaional coordinate system, 4-1-1 md omega^2 = mg sin theta - F 4-2-1 md d/dt(omega) = R - mg cos theta (2) If no slip, normal force can become zero only when the rod...- Kim Gi Hyuk
- Post #9
- Forum: Introductory Physics Homework Help