Question

What is the effective resistance between points A and B?

• A. $\frac{R}{3}$
• B. $\frac{4R}{3}$
• C. $\frac{2R}{3}$
• D. $\frac{R}{2}$

Answer 1

The correct option is A $\frac{R}{3}$

Equivalent circuit of the above figure is shown which shows that the three resistances are connected in parallel.

Thus, equivalent resistance between A and B,

$\frac{1}{R_{eq}}=\frac{1}{R}+\frac{1}{R}+\frac{1}{R}$

$⟹$ $R_{eq}=\frac{R}{3}$

Option (A) is correct.