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

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