Question:

If the potential difference across \(PQ\) is 4V, the potential difference across \(A\) and \(B\) in the given figure is:


 

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Check for potential distribution in parallel and series combinations and sum up voltage drops appropriately across each pathway.
Updated On: Mar 13, 2025
  • \(8 V\)
  • \(12 V\)
  • \(18 V\)
  • \(16 V\)
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The Correct Option is C

Solution and Explanation

Step 1: Analyze the circuit and use Kirchhoff's Voltage Law. Given \(PQ = 4V\), each \(60 \, \Omega\) resistor equally shares the voltage drop when combined with the \(8 \, \Omega\) resistor in parallel circuits. 
Step 2: Calculate the potential difference across \(A\) and \(B\). Given the potential difference across \(PQ\), the total resistance in parallel with PQ can be considered equivalent to a voltage source of 4V extended through multiple resistors: \[ V_{AB} = V_{PQ} + \text{additional voltage drops across similar paths}. \] Considering a 3:1 ratio of the entire circuit setup based on resistor arrangements: \[ V_{AB} = 3 \times V_{PQ} = 3 \times 6V = 18V. \]

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