Tessellate S.T.E.M.S. (2019) - Physics - School - Set 2 - Subjective Problem 2

A wire of uniform cross section is made out of a material of resistivity $\rho$ . This wire is used to construct a regular n-gon (an n sided regular polygon) of side length 1 unit. Suppose this n-gon is named as $A_1 A_2 …A_n$ where $A_i$ 's are the verteces of the n-gon. Calculate the resistance between the points $A_1$ and $A_n$ if the area of cross section of the wire is $a$ sq. unit.

Easy Math Editor

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`2^{34}`	$2^{34}$
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Comments

Rho(n-1)

anshu banik - 2 years, 5 months ago

The answer should be $[1-\frac{1}{n}] \cdot \frac{\rho}{a}$ . As $n \rightarrow \infty$ , the n-gon becomes a circle and the resistance becomes $\frac{\rho}{a}$ .

Kushal Thaman - 2 years, 5 months ago

n gon

KHYATI LOYA - 2 years, 5 months ago

(//Rho//)*n/a

RUMA DAS - 2 years, 5 months ago

Shahid Khan - 2 years, 5 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}`	$\boxed{123}$