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NDA 2025
Exam
NDA
Year
2025
Subject
General Ability
Chapter
General Science

NDA 2025 · General Ability · General Science

If three resistors of 1 Ohm each connect in parallel to each other...

If three resistors of 1 Ohm each connect in parallel to each other the resultant resistance is

Options

  1. A1 Ohm
  2. B13\dfrac{1}{3} Ohm
  3. C3 Ohm
  4. D9 Ohm

Correct answer

B. 13\dfrac{1}{3} Ohm

Step-by-step solution

For resistors connected in parallel, the equivalent resistance ReqR_{eq} is given by:

1Req=1R1+1R2+1R3\dfrac{1}{R_{eq}} = \dfrac{1}{R_1} + \dfrac{1}{R_2} + \dfrac{1}{R_3}

Given R1=R2=R3=1ΩR_1 = R_2 = R_3 = 1 \Omega, substituting the values:

1Req=11+11+11=3\dfrac{1}{R_{eq}} = \dfrac{1}{1} + \dfrac{1}{1} + \dfrac{1}{1} = 3

Req=13ΩR_{eq} = \dfrac{1}{3} \Omega

Answer: 13\dfrac{1}{3} Ohm
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