Q. In a given network, each resistance has value of 6$\Omega$. The point X is connected to point A by a copper wire of negligible resistance and point Y is connected to point B by the same wire. The effective resistance between X and Y will be
A) 18$\Omega$
B) 6$\ \Omega$
C) 3$\ \Omega$
D) 2$\ \Omega$
Explanation
(d) Three resistances are in parallel,
$\therefore\ \frac{1}{R^{'}} = \frac{1}{R} + \frac{1}{R} + \frac{1}{R} = \frac{3}{R}$
The equivalent resistance
$R’ = \frac{R}{3}\Omega = \frac{6}{3} = 2\Omega$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.