Question

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

 

• A. \(8 V\)
• B. \(12 V\)
• C. \(18 V\)
• D. \(16 V\)

Hint:

Check for potential distribution in parallel and series combinations and sum up voltage drops appropriately across each pathway.

Answer 1

The Correct Option is C

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: \[ V_{AB} = 3 \times V_{PQ} = 3 \times 6V = 18V. \]