Question

In the Wheatstone's bridge shown below, in order to balance the bridge we must have:

• A. $R_{1}=3\, \Omega, R_{2}=3 \,\Omega$
• B. $R_{1}=6 \,\Omega, R_{2}=1.5\, \Omega$
• C. $R_{1}=1.5 \,\Omega, R_{2}=$ any finite value
• D. $R_{1}=3\, \Omega, R_{2}=$ any finite value

Answer 1

Answer: (D)

Given circuit is a balanced Wheatstone's bridge.
The ratio of resistances in the opposite arms of the circuit is equal i.e.,
$\frac{10}{30}=\frac{R_{1}}{9} $
$\Rightarrow R_{1}=3 \,\Omega $ and resistance $ R_{2}$
may have any finite value.