First slide

combination of resistance

Question

A thin uniform wire of resistance R is bent in the form of a regular polygon of n sides( $n \geq 3$ ). The equivalent resistance between two adjacent vertices of the polygon is

Easy

A

$\frac{R (n - 1)}{n^{2}}$
B

$\frac{R (n^{2} - 1)}{n}$
C

$\frac{R n^{2}}{n - 1}$
D

$\frac{R n}{n - 1}$

Solution

$r e i s \tan c e o f e a c h a r m i s \frac{R}{n} n - 1 a r m s a r e i n s e r i e s a n d o n e i s p a r a l l e l w i t h t h e m \frac{R}{n} (n - 1) i i n p a r a l l e l w i t h \frac{R}{n} {\frac{R (n - 1)}{n} x \frac{R}{n}} / R = \frac{R (n - 1)}{n^{2}}$

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