Analog and electronic circuits

What is the combined resistance of two 10 kΩ resistors connected in parallel?

  1. A10 kΩ
  2. B5 kΩ
  3. C20 kΩ
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Answer: B. 5 kΩ

The combined resistance in parallel is given by 1/R = 1/R1 + 1/R2; two equal resistors give half the value. 10 kΩ × 10 kΩ ÷ (10 kΩ + 10 kΩ) = 5 kΩ. In series they would simply add to 20 kΩ.

  • A. Adding a resistor in parallel always lowers the combined resistance.
  • B. Correct. Two equal resistors in parallel give half, 5 kΩ.
  • C. 20 kΩ is the value for a series connection.
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