Q. Each resistance shown in figure is 2$\ \Omega$. The equivalent resistance between A and B is
A) 2$\ \Omega$
B) 4$\ \Omega$
C) 8$\ \Omega$
D) 1$\ \Omega$
Explanation
(a) Given circuit is a balanced Wheatstone bridge. So, diagonal resistance of 2$\Omega$ will be ineffective.
Equivalent resistance of upper arms
=2+2=4$\Omega$
Equivalent resistance of lower arms
=2+2=4$\Omega$
$R_{AB} = \frac{4 \times 4}{4 + 4} = 2\Omega$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.