Electricity and magnetism

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

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Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

@Steven Chase Chase sir. @Aaghaz Mahajan bro @Mark Hennings sir . can u share your idea in this one ?

Kudo Shinichi - 2 years, 3 months ago

This looks like a fascinating, though very non-trivial, type of problem. I will send a link to a finite element analysis program which solves this kind of scenario. I recommend looking at video #1 (thin film resistance). There is an option to make it full-screen. This is just to illustrate the complexity of this type of problem.

Demo video

Steven Chase - 2 years, 3 months ago

Sir is it difficult to calculate resistance of this plate ?? Is it difficult to take small elements for integration?

Kudo Shinichi - 2 years, 3 months ago

@Kudo Shinichi – The lines of equal current might form curved loops, like the ones shown in the video. I think you would have to use something like variational calculus to derive the current distribution, or use a finite element simulation. Do you know what the answer is supposed to be?

Steven Chase - 2 years, 3 months ago

@Steven Chase – By dimensional analysis and some calculations we would get it to be Ia/sigmabt , I think real answer should be of this form with some constant sir

Kudo Shinichi - 2 years, 3 months ago

@Kudo Shinichi – Sir can the answer be in this form with some constant multiplying ?

Kudo Shinichi - 2 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$