MHT CET202526 Apr 2025Evening ShiftPhysicsCurrent ElectricityActual
In the following circuit, current through A C B is if each resistance R=4 is
Options
- A1 A
- B2 A
- C3 A
- D4 A
Correct answer
B. 2 A
Step-by-step solution
This circuit forms a balanced Wheatstone bridge , since all resistances in the configuration are equal, satisfying the balance condition R_ AC R_ AD = R_ CB R_ DB = 1 . This implies that no current flows through the central resistor R_ CD connecting the balance points, and thus the potential difference across it is zero. This simplifies the circuit to two identical parallel branches: path ACB and path ADB , each with resistance R + R = 8 . The equivalent resistance is calculated as: 1 R_ eq = 1 8 + 1 8 = 1 4 R_ eq