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What is the total resistance of two 12 ohm resistors connected in parallel?

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Question: What is the total resistance of two 12 ohm resistors connected in parallel?

Options:

  1. 6 ohms
  2. 12 ohms
  3. 24 ohms
  4. 18 ohms

Correct Answer: 6 ohms

Solution: 

1/R_eq = 1/R1 + 1/R2 = 1/12 + 1/12 = 2/12. Thus, R_eq = 12/2 = 6 ohms.

What is the total resistance of two 12 ohm resistors connected in parallel?

Practice Questions

Q1
What is the total resistance of two 12 ohm resistors connected in parallel?
  1. 6 ohms
  2. 12 ohms
  3. 24 ohms
  4. 18 ohms

Questions & Step-by-Step Solutions

What is the total resistance of two 12 ohm resistors connected in parallel?
Correct Answer: 6 ohms
  • Step 1: Identify the resistors. We have two resistors, each with a resistance of 12 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 into the formula. Here, R1 = 12 ohms and R2 = 12 ohms, so we have 1/R_eq = 1/12 + 1/12.
  • Step 4: Calculate the right side of the equation. 1/12 + 1/12 equals 2/12.
  • Step 5: Simplify 2/12. This simplifies to 1/6.
  • Step 6: Take the reciprocal to find R_eq. R_eq = 1 / (1/6) = 6 ohms.
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