Question

When a wire of uniform cross-section a, length l and resistance R is bent into a complete circle, resistance between any two of diametrically opposite points will be

• A. $\frac{R}{4}$
• B. 4R
• C. $\frac{R}{8}$
• D. $\frac{R}{2}$

Answer 1

The correct option is A $\frac{R}{4}$

$R^{\prime }=\frac{\frac{R}{2}\times \frac{R}{2}}{\frac{R}{2}+\frac{R}{2}}=\frac{R}{4}$