Final answer:
The equivalent resistance of a 3 ohms and a 6 ohms resistor in parallel is 2 ohms. This is calculated using the formula for parallel resistance, combining the reciprocals of each resistor's resistance and then taking the reciprocal of the sum.
Step-by-step explanation:
To calculate the equivalent resistance of two resistors in a parallel circuit, one must apply the formula for combining parallel resistances. The formula is 1/Requiv = 1/R1 + 1/R2 + ... + 1/Rn, where Requiv is the equivalent resistance and R1, R2, ..., Rn are the resistances of the individual resistors. In this case, we have a 3 ohms resistor and a 6 ohms resistor in parallel. Applying the formula:
1/Requiv = 1/3 Ω + 1/6 Ω
To find the equivalent resistance, you need to combine these fractions. This results in:
1/Requiv = 2/6 Ω + 1/6 Ω = 3/6 Ω
After simplifying, you have:
1/Requiv = 1/2 Ω
Finally, to get Requiv itself:
Requiv = 2 Ω
Thus, the equivalent resistance of the 3 ohms and 6 ohms resistors in parallel is 2 ohms.