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NEETPhysicsCurrent Electricity

Five resistors are connected between four points A, C, D, and B arranged in a straight line in that order. The resistors are connected as follows: 3 between A and C, 15 between C and D, and 12 between D and B. Additionally, a 6 resistor connects A and D, and a 6 resistor connects C and B. A battery of unknown EMF and a series resistor of 2 are connected across the terminals A and B. If the total current drawn from th

Options

  1. A9.0 V
  2. B12.0 V
  3. C15.0 V
  4. D24.0 V

Correct answer

B. 12.0 V

Step-by-step solution

The given circuit can be redrawn to identify its standard topology. The nodes are A, C, D, and B. The resistors are: R_ AC = 3 R_ CB = 6 R_ AD = 6 R_ DB = 12 R_ CD = 15 This forms a Wheatstone bridge between terminals A and B, with C and D as the middle nodes. Let us check the balance condition: R_ AC R_ CB = 3 6 = 1 2 R_ AD R_ DB = 6 12 = 1 2 Since the ratios are equal, the bridge is balanced. No current flows through the central 15 resistor between C and D, so it can be removed from the calculation. The equivalen

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