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COMEDK2024Evening ShiftPhysicsCurrent ElectricityActual

Four resistors, each of resistance R, are connected as shown in the figure below. Which of the following options is correct?

Options

  1. AThe total resistance between points 3 and 6 is 2 R.
  2. BThe total resistance between points 2 and 4 is 0.5 ~R .
  3. CThe total resistance between points 1 and 3 is 0.5 R.
  4. DThe total resistance between points 1 and 6 is 3.5 R .

Correct answer

B. The total resistance between points 2 and 4 is 0.5 ~R .

Step-by-step solution

Points 2 and 3 are connected by a wire same node (A). Points 4 and 5 are connected by a wire same node (B). The middle resistor (2 to 5) and bottom resistor (3 to 4) are both connected between node A and node B they are in parallel. R_ AB = R R R + R = R 2 = 0.5R Checking each option: (1) R₃₆ : Node A parallel combo (0.5R) node B top-right resistor (R) point 6 = 1.5R (incorrect) (2) R₂₄ = R_ AB = 0.5R (correct) (3) R₁₃ = R₁₂ = R since point 3 = point 2 (incorrect) (4) R₁₆ = R + 0.5R + R = 2.5R (incorrect)

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