Question

A pair of 1-ohm resistors connected in series is 2 ohms, and when connected in parallel is _______?

1) 0.5 ohms
2) 1 ohm
3) 2 ohms
4) 4 ohms

Answer 1

A pair of 1-ohm resistors connected in parallel will have an equivalent resistance of 0.5 ohms.

Step-by-step explanation:

When a pair of 1-ohm resistors are connected in parallel, the equivalent resistance can be found using the formula for parallel circuits: 1/R_eq = 1/R_1 + 1/R_2. Since both resistors have the same resistance, R_1 and R_2 are both 1 ohm. Plugging in the values, we get 1/R_eq = 1/1 + 1/1, which simplifies to 2/1. Thus, R_eq is the reciprocal of 2, which is 0.5 ohms. So, when the 1-ohm resistors are connected in parallel, the overall resistance is 0.5 ohms.