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A uniform wire of resistance R is slaped...

A uniform wire of resistance `R` is slaped into a regular n-sided polygon (n is seven). The equivalent resistance between any two corners can have :

A

the maximum value` R//4`

B

the maximum value `R//n`

C

the value of equivalent resistance is `R((n-1)/n^2)`

D

the minimum value `R//n`

Text Solution

AI Generated Solution

To find the equivalent resistance between any two corners of a regular 7-sided polygon formed by a uniform wire of resistance \( R \), we can follow these steps: ### Step 1: Understand the Configuration A regular 7-sided polygon (heptagon) has 7 vertices (corners) and can be thought of as having 7 equal segments of wire, each with a resistance of \( \frac{R}{7} \). ### Step 2: Identify the Resistance Between Two Corners When considering the resistance between two adjacent corners (let's call them corner A and corner B), the wire segment directly connecting them has a resistance of \( \frac{R}{7} \). ...
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