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

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

Options:

  1. 5 ohms
  2. 10 ohms
  3. 20 ohms
  4. 15 ohms

Correct Answer: 5 ohms

Solution: 

1/R_eq = 1/R1 + 1/R2 = 1/10 + 1/10 = 2/10. Thus, R_eq = 10/2 = 5 ohms.

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

Practice Questions

Q1
What is the total resistance of two 10 ohm resistors connected in parallel?
  1. 5 ohms
  2. 10 ohms
  3. 20 ohms
  4. 15 ohms

Questions & Step-by-Step Solutions

What is the total resistance of two 10 ohm resistors connected in parallel?
Correct Answer: 5 ohms
  • Step 1: Identify the resistors. We have two resistors, R1 and R2, both with a resistance of 10 ohms.
  • Step 2: Write the formula for total resistance in parallel. The formula is 1/R_eq = 1/R1 + 1/R2.
  • Step 3: Substitute the values of R1 and R2 into the formula. This gives us 1/R_eq = 1/10 + 1/10.
  • Step 4: Add the fractions on the right side. 1/10 + 1/10 equals 2/10.
  • Step 5: Rewrite the equation. Now we have 1/R_eq = 2/10.
  • Step 6: To find R_eq, take the reciprocal of 2/10. This means R_eq = 10/2.
  • Step 7: Calculate 10/2, which equals 5 ohms. This is the total resistance.
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