What is the combined resistance of two 100 ohm resistors connected in parallel?

When two resistors are connected in parallel, the total or equivalent resistance can be calculated using the formula:

1/R_total = 1/R1 + 1/R2

In the case of two 100 ohm resistors, the formula becomes:

1/R_total = 1/100 + 1/100

1/R_total = 1/100 + 1/100 = 2/100

1/R_total = 2/100 = 1/50

To find R_total, you take the reciprocal of both sides:

R_total = 50 ohms

Therefore, the combined resistance of two 100 ohm resistors connected in parallel is 50 ohms, which is why this is the correct answer. Understanding this principle is essential when analyzing circuits, as it demonstrates how resistance decreases in parallel configurations, allowing for higher currents to flow through the circuit.