Q.
What is the equivalent resistance between points $A$ and $B$ in the circuit if figure, if $R = 3\ \Omega$?
A) $8\ \Omega$
B) $9\ \Omega$
C) $12\ \Omega$
D) $15\ \Omega$
Explanation
(a) Effective resistance of three resistances between $C$ and
$D = \frac{R \times 2R}{R + 2R} = \frac{2}{3}R$
Total resistance between $A$ and $B$
$= R + \frac{2}{3}R + R = \frac{8}{3}R = \frac{8}{3} \times 3 = 8\Omega$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.