What is the equivalent resistance of two resistors in parallel, R1 = 4 ohms and

Practice Questions

Q1
What is the equivalent resistance of two resistors in parallel, R1 = 4 ohms and R2 = 6 ohms?
  1. 2.4 ohms
  2. 10 ohms
  3. 24 ohms
  4. 1.5 ohms

Questions & Step-by-Step Solutions

What is the equivalent resistance of two resistors in parallel, R1 = 4 ohms and R2 = 6 ohms?
  • Step 1: Identify the values of the resistors. Here, R1 = 4 ohms and R2 = 6 ohms.
  • Step 2: Use the formula for equivalent resistance in parallel: 1/R_eq = 1/R1 + 1/R2.
  • Step 3: Substitute the values into the formula: 1/R_eq = 1/4 + 1/6.
  • Step 4: Find a common denominator for the fractions. The common denominator for 4 and 6 is 12.
  • Step 5: Rewrite the fractions: 1/4 = 3/12 and 1/6 = 2/12.
  • Step 6: Add the fractions: 1/R_eq = 3/12 + 2/12 = 5/12.
  • Step 7: Invert the fraction to find R_eq: R_eq = 12/5.
  • Step 8: Calculate 12/5, which equals 2.4 ohms.
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