Final answer:
To find the effective resistance of two 50-ohm resistors in parallel, we use the formula 1/Rp = 1/R1 + 1/R2, which yields an equivalent resistance of 25 ohms.
Step-by-step explanation:
To calculate the effective resistance of two resistors in parallel, you can use the formula for finding the equivalent resistance in a parallel circuit: 1/Rp = 1/R1 + 1/R2. In this case, both resistors have a resistance of 50 ohms. Applying the values to the formula, we get:
1/Rp = 1/50 Ω + 1/50 Ω
1/Rp = 2/50 Ω
1/Rp = 1/25 Ω
Therefore, Rp = 25 Ω
The total resistance of two 50-ohm resistors in parallel is 25 ohms, which makes sense because the equivalent resistance in a parallel circuit is always less than the smallest individual resistance in the circuit.