What is the total resistance of two 10-ohm resistors connected in parallel?

To find the total resistance of two resistors connected in parallel, you can use the formula:

1 / R_total = 1 / R1 + 1 / R2

In your case, both resistors have a value of 10 ohms. Substituting the values into the formula gives:

1 / R_total = 1 / 10 + 1 / 10

1 / R_total = 0.1 + 0.1

1 / R_total = 0.2

Now, taking the reciprocal to find R_total:

R_total = 1 / 0.2

R_total = 5 ohms

This result shows that when two 10-ohm resistors are connected in parallel, the total resistance is 5 ohms. This outcome occurs because resistors in parallel provide multiple paths for the current to flow, effectively reducing overall resistance.