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JEE MainPhysicsCurrent Electricity

Five resistors are connected between four distinct nodes A, B, C, and D in an electrical circuit. The resistance values are as follows: 3 between A and B, 6 between B and C, 6 between A and D, 12 between D and C, and 15 between B and D. A battery of electromotive force 24 V and internal resistance 2 is connected across the nodes A and C. The total current drawn from the battery is

Options

  1. A4 A
  2. B2 A
  3. C3 A
  4. D6 A

Correct answer

C. 3 A

Step-by-step solution

The circuit described forms a bridge network between nodes A, B, C, and D, with the battery connected across A and C. We check the balance condition of the Wheatstone bridge: R_ AB R_ BC = 3 6 = 1 2 R_ AD R_ DC = 6 12 = 1 2 Since the ratios are equal, the bridge is balanced. The resistor between B and D ( 15 ) carries no current and can be ignored. The equivalent resistance of the bridge R_ bridge is calculated by taking the parallel combination of the branch ABC and the branch ADC: R_ ABC = 3 + 6 = 9 R_ ADC = 6 +

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