Question map
Not attempted Correct Incorrect ★ Bookmarked
Loading…
Q148 (NDA-I/2025) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Electricity and magnetism Answer Verified

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

Result
Your answer: —  Â·  Correct: B
Explanation

When resistors are connected in parallel, the reciprocal of the equivalent resistance (Rp) is equal to the sum of the reciprocals of the individual resistances [1]. The fundamental formula for three resistors is 1/Rp = 1/R1 + 1/R2 + 1/R3. In this specific case, each resistor has a resistance of 1 Ohm. Substituting these values into the formula gives 1/Rp = 1/1 + 1/1 + 1/1, which simplifies to 1/Rp = 3. Taking the reciprocal to find the resultant resistance yields Rp = 1/3 Ohm. This result aligns with the general principle that for 'n' identical resistors of resistance 'R' connected in parallel, the equivalent resistance is R/n. Consequently, for three 1 Ohm resistors, the resistance is 1/3 Ohm, which is notably less than any individual resistor in the combination.

Sources

  1. [1] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > Activity 11.6 > p. 186
How others answered
Each bar shows the % of students who chose that option. Green bar = correct answer, blue outline = your choice.
Community Performance
Out of everyone who attempted this question.
50%
got it right
✓ Thank you! We'll review this.

SIMILAR QUESTIONS

NDA-II · 2016 · Q63 Relevance score: 7.21

When three resistors, each having resistance ry are connected in parallel, their resultant resistance is .x. If these three resistances are connected in series, the total resistance will be

NDA-I · 2016 · Q43 Relevance score: 5.89

Three resistors with magnitudes 2, 4 and 8 ohm are connected in parallel. The equivalent resistance of the system would be

NDA-I · 2010 · Q62 Relevance score: 4.66

The effective resistance of three equal resistances, each of resistance r, connected in parallel, is

NDA-II · 2015 · Q24 Relevance score: 4.57

Three equal resistances when combined in series are equivalent to 90 ohm. Their equivalent resistance when combined in parallel will be:

CDS-I · 2023 · Q6 Relevance score: 4.45

Three resistors of resistances 11 Ω, 22 Ω and 33 Ω are connected in parallel. Their equivalent resistance is equal to