Physics PYQ 110 of 144 · Electricity

The total resistance of a circuit having two parallel resistors is 1.403 kilo-ohm. If one of the resistors is 2.0 kilo-ohm then the other resistor will be

  1. A1.403 kilo-ohm
  2. B2.0 kilo-ohm
  3. C3.403 kilo-ohm
  4. D4.70 kilo-ohm
  5. ENone of the above / More than one of the above

66th BPSC

Show answer and explanation

Correct answer: (d) 4.70 kilo-ohm

Explanation

For resistors in parallel: 1/R = 1/R1 + 1/R2.

With R = 1.403 kΩ and R1 = 2.0 kΩ: 1/R2 = 1/1403 – 1/2000.

Solving gives R2 ≈ 4700 Ω = 4.70 kΩ.

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