What is the equivalent resistance of a 6Ω and a 3Ω resistor connected in paralle

Practice Questions

Q1
What is the equivalent resistance of a 6Ω and a 3Ω resistor connected in parallel?
  1. 1.5Ω

Questions & Step-by-Step Solutions

What is the equivalent resistance of a 6Ω and a 3Ω resistor connected in parallel?
  • Step 1: Identify the resistors. We have a 6Ω resistor and a 3Ω resistor.
  • Step 2: Write the formula for equivalent resistance (R_eq) for resistors in parallel: R_eq = 1 / (1/R1 + 1/R2).
  • Step 3: Substitute the values of the resistors into the formula: R_eq = 1 / (1/6 + 1/3).
  • Step 4: Calculate 1/6, which is approximately 0.1667.
  • Step 5: Calculate 1/3, which is approximately 0.3333.
  • Step 6: Add the two results together: 0.1667 + 0.3333 = 0.5.
  • Step 7: Take the reciprocal of the sum: R_eq = 1 / 0.5.
  • Step 8: Calculate the final result: R_eq = 2Ω.
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