Question

The given circuit is a balanced Wheatstone’s bridge. The value of resistance \(x\) is

• A. \(12\,\Omega\)
• B. \(6\,\Omega\)
• C. \(24\,\Omega\)
• D. \(4\,\Omega\)

Hint:

In a balanced Wheatstone bridge, no current flows through the galvanometer.

Answer 1

The Correct Option is A

Step 1: Condition for balanced Wheatstone bridge.
For a balanced Wheatstone bridge,
\[ \frac{R_1}{R_2} = \frac{R_3}{R_4} \]
Step 2: Substituting values from the circuit.
From the given figure,
\[ \frac{4}{2} = \frac{x}{6} \]
Step 3: Solving for \(x\).
\[ 2 = \frac{x}{6} \Rightarrow x = 12\,\Omega \]
Step 4: Conclusion.
The value of resistance is \(12\,\Omega\).