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BITSAT2018PhysicsCurrent ElectricityActual

In the given circuit, it is observed that the current I is independent of the value of resistance R 5 . Then, the resistance value must satisfy

Options

  1. A1 R 5 + 1 R 6 = 1 R 1 + R 2 · 1 R 3 + R 4
  2. BR 1 R 4 = R 2 R 3
  3. CR 1 R 2 R 5 = R 3 R 4 R 6
  4. DR 1 R 3 = R 2 R 4 = R 5 R 6

Correct answer

B. R 1 R 4 = R 2 R 3

Step-by-step solution

From the given circuit, we can say that I is independent of resistance R 5 , so no current flows through R 5 . This required that the junction of R 1 and R 2 is at the same potential as the junction of R 3 and R 4 (Wheatstone's bridge balancing condition) So, R 1 R 2 = R 3 R 4 or R 1 R 4 = R 3 R 2

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