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What is the equivalent resistance of two resistors in parallel, R1 = 6Ω and R2 =

Practice Questions

Q1
What is the equivalent resistance of two resistors in parallel, R1 = 6Ω and R2 = 3Ω?
  1. 2Ω
  2. 3Ω
  3. 4Ω
  4. 1.5Ω

Questions & Step-by-Step Solutions

What is the equivalent resistance of two resistors in parallel, R1 = 6Ω and R2 = 3Ω?
  • Step 1: Identify the values of the resistors. Here, R1 = 6Ω and R2 = 3Ω.
  • Step 2: Write down the formula for equivalent resistance in parallel: 1/R_eq = 1/R1 + 1/R2.
  • Step 3: Substitute the values of R1 and R2 into the formula: 1/R_eq = 1/6 + 1/3.
  • Step 4: Find a common denominator to add the fractions. The common denominator for 6 and 3 is 6.
  • Step 5: Rewrite 1/3 as 2/6, so now we have: 1/R_eq = 1/6 + 2/6.
  • Step 6: Add the fractions: 1/R_eq = (1 + 2)/6 = 3/6.
  • Step 7: Simplify 3/6 to 1/2, so now we have: 1/R_eq = 1/2.
  • Step 8: To find R_eq, take the reciprocal of 1/2: R_eq = 2Ω.
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