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What is the equivalent resistance of two resistors, R1 and R2, in parallel? (202

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Question: What is the equivalent resistance of two resistors, R1 and R2, in parallel? (2022)

Options:

  1. R1 + R2
  2. R1 * R2 / (R1 + R2)
  3. 1 / (1/R1 + 1/R2)
  4. R1 - R2

Correct Answer: 1 / (1/R1 + 1/R2)

Exam Year: 2022

Solution: 

The formula for equivalent resistance (R_eq) of two resistors in parallel is given by 1 / (1/R1 + 1/R2).

What is the equivalent resistance of two resistors, R1 and R2, in parallel? (202

Practice Questions

Q1
What is the equivalent resistance of two resistors, R1 and R2, in parallel? (2022)
  1. R1 + R2
  2. R1 * R2 / (R1 + R2)
  3. 1 / (1/R1 + 1/R2)
  4. R1 - R2

Questions & Step-by-Step Solutions

What is the equivalent resistance of two resistors, R1 and R2, in parallel? (2022)
  • Step 1: Identify the values of the two resistors, R1 and R2.
  • Step 2: Calculate the reciprocal of R1, which is 1/R1.
  • Step 3: Calculate the reciprocal of R2, which is 1/R2.
  • Step 4: Add the two reciprocals together: 1/R1 + 1/R2.
  • Step 5: Take the reciprocal of the sum from Step 4 to find the equivalent resistance: R_eq = 1 / (1/R1 + 1/R2).
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