Two resistors 2 Ω and 3 Ω are connected in parallel. What is the equivalent resistance?

• A. 1.2 Ω
• B. 5 Ω
• C. 2 Ω
• D. 3 Ω

Answer: (A)

In parallel, resistors share the same voltage and the total conductance adds. So the reciprocal of the equivalent resistance is the sum of the reciprocals: 1/R_eq = 1/2 + 1/3 = 5/6. Therefore R_eq = 6/5 = 1.2 Ω. This matches the intuitive idea that parallel resistance is always less than the smallest resistor, and a quick check with 1 V across the network gives currents of 0.5 A and ~0.333 A, totaling ~0.833 A, which yields R_eq ≈ 1.2 Ω. The other values would come from either adding resistances (series) or taking a single resistor value, not from this parallel combination.