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What is the total resistance in a parallel circuit with two resistors, R1 and R2

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Question: What is the total resistance in a parallel circuit with two resistors, R1 and R2?

Options:

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

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

Solution: 

The total resistance in a parallel circuit is given by the formula 1 / (1/R1 + 1/R2).

What is the total resistance in a parallel circuit with two resistors, R1 and R2

Practice Questions

Q1
What is the total resistance in a parallel circuit with two resistors, R1 and R2?
  1. R1 + R2
  2. 1 / (1/R1 + 1/R2)
  3. R1 * R2 / (R1 + R2)
  4. R1 - R2

Questions & Step-by-Step Solutions

What is the total resistance in a parallel circuit with two resistors, R1 and R2?
  • 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 total resistance: 1 / (1/R1 + 1/R2).
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