If two resistances are of equal values 6 Ω are connected in parallel, then the equivalent resistance will be :

CONCEPT:

Equivalent Resistance for Resistors in Parallel

• When resistors are connected in parallel, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances.
• The formula for calculating the equivalent resistance for two resistors in parallel is:

  1/R_eq = 1/R₁ + 1/R₂

• For resistors of equal value, the equivalent resistance is half the resistance of one resistor.

EXPLANATION

• Using the formula for parallel resistance:
  • 1/R_eq = 1/6 + 1/6
  • 1/R_eq = 2/6
  • R_eq = 6/2
  • R_eq = 3 Ω

Therefore, the equivalent resistance of the two 6 Ω resistors connected in parallel is 3 Ω.