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What is the equivalent resistance of two 4Ω resistors in parallel? (2019)

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Question: What is the equivalent resistance of two 4Ω resistors in parallel? (2019)

Options:

  1. 2Ω
  2. 4Ω
  3. 8Ω
  4. 1Ω

Correct Answer: 2Ω

Solution:

Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/4 + 1/4 = 1/2, thus R_eq = 2Ω.

What is the equivalent resistance of two 4Ω resistors in parallel? (2019)

Practice Questions

Q1
What is the equivalent resistance of two 4Ω resistors in parallel? (2019)
  1. 2Ω
  2. 4Ω
  3. 8Ω
  4. 1Ω

Questions & Step-by-Step Solutions

What is the equivalent resistance of two 4Ω resistors in parallel? (2019)
  • Step 1: Identify the resistors. We have two resistors, each with a resistance of 4Ω.
  • Step 2: Write down the formula for equivalent resistance in parallel: 1/R_eq = 1/R1 + 1/R2.
  • Step 3: Substitute the values of the resistors into the formula: 1/R_eq = 1/4 + 1/4.
  • Step 4: Calculate the right side of the equation: 1/4 + 1/4 = 2/4 = 1/2.
  • Step 5: Now we have 1/R_eq = 1/2. To find R_eq, take the reciprocal of both sides.
  • Step 6: The reciprocal of 1/2 is 2, so R_eq = 2Ω.
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