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

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

• A. 10 ohms
• B. 20 ohms
• C. 5 ohms
• D. 15 ohms

Answer: (C)

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.

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.