Q.
In the Wheatstone bridge shown below, in order to balance the bridge, we must have
A) $R_{1} = 3\ \Omega\ ;R_{2} = 3\ \Omega$
B) $R_{1} = 6\ \Omega\ ;R_{2} = 15\ \Omega$
C) $R_{1} = 1.5\ \Omega\ ;R_{2} =$ any finite value
D) $R_{1} = 3\Omega\ ;R_{2} =$ any finite value
Explanation
(d) The bridge $ABCD$ is balanced if
$\frac{10}{R_{1}} = \frac{30}{9} \Rightarrow R_{1} = 3\Omega$
When the bridge is balanced, no current flows in the arm $BD.$ Therefore, $R_{2}$ can have any finite value
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.