ISRO Electronics & Communication (ECE) 2006 - Question 3

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Topic: Network Theory

The value of resistance R shown in the given figure

  • A. 3.5 ohm
  • B. 2.5 ohm
  • C. 1 ohm
  • D. 4.5 ohm

Answer: A. 3.5 ohm

Explanation: Applying KCL at the node above the 7-ohm resistor, let the voltage be V. (V - 50)/6 + V/7 + 4 = 0. Solving this gives V = 14 V. Since the current through R is 4 A, R = V / 4 = 14 / 4 = 3.5 ohm.

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