Question:
In the circuit shown, find voltmeter reading.
In the circuit shown, find voltmeter reading.
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If branches equal $\Rightarrow$ split current equally, then compare midpoint voltages.
Updated On: Apr 23, 2026
- \(12V\)
- \(8V\)
- \(20V\)
- \(16V\)
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The Correct Option is A
Solution and Explanation
Concept:
Balanced Wheatstone bridge $\Rightarrow$ no current through voltmeter.
Step 1: Check balance
\[ \frac{4}{16} = \frac{16}{4} \Rightarrow \frac{1}{4} \neq 4 \] Not balanced.
Step 2: Equivalent circuit
Top branch: \(4 + 16 = 20\Omega\)
Bottom branch: \(16 + 4 = 20\Omega\) Parallel combination: \[ R_{\text{eq}} = 10\Omega \]
Step 3: Total current
\[ I = 2A \Rightarrow V = IR = 2 \times 10 = 20V \] Each branch gets equal current $\Rightarrow$ \(1A\)
Step 4: Voltage at midpoint
Top midpoint: \[ V = 4\Omega \times 1A = 4V \] Bottom midpoint: \[ V = 16\Omega \times 1A = 16V \] Difference: \[ 16 - 4 = 12V \] Conclusion: \[ 12V \]
Step 1: Check balance
\[ \frac{4}{16} = \frac{16}{4} \Rightarrow \frac{1}{4} \neq 4 \] Not balanced.
Step 2: Equivalent circuit
Top branch: \(4 + 16 = 20\Omega\)
Bottom branch: \(16 + 4 = 20\Omega\) Parallel combination: \[ R_{\text{eq}} = 10\Omega \]
Step 3: Total current
\[ I = 2A \Rightarrow V = IR = 2 \times 10 = 20V \] Each branch gets equal current $\Rightarrow$ \(1A\)
Step 4: Voltage at midpoint
Top midpoint: \[ V = 4\Omega \times 1A = 4V \] Bottom midpoint: \[ V = 16\Omega \times 1A = 16V \] Difference: \[ 16 - 4 = 12V \] Conclusion: \[ 12V \]
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