Question

$A$ and $B$ are two points on a uniform ring of resistance $R$. The $\angle ABC=\Theta ,$ where $C$ is the center of the ring. The equivalent resistance between $A$ and $B$ is

• A. $\frac{R}{4{\pi }^2}(2\pi -\Theta )\Theta$
• B. $R(1-\frac{\Theta }{2\pi })$
• C. $R\frac{\Theta }{2\pi }$
• D. $R\frac{2\pi -\Theta }{4\pi }$

Answer 1

The correct option is A $\frac{R}{4{\pi }^2}(2\pi -\Theta )\Theta$