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What is the equivalent resistance of a 10Ω and a 5Ω resistor connected in parall

Practice Questions

Q1
What is the equivalent resistance of a 10Ω and a 5Ω resistor connected in parallel?
  1. 3.33Ω
  2. 7.5Ω
  3. 15Ω
  4. 5Ω

Questions & Step-by-Step Solutions

What is the equivalent resistance of a 10Ω and a 5Ω resistor connected in parallel?
  • Step 1: Identify the resistors. We have a 10Ω resistor and a 5Ω resistor.
  • Step 2: Use the formula for equivalent resistance in parallel: R_eq = 1 / (1/R1 + 1/R2).
  • Step 3: Substitute the values into the formula: R_eq = 1 / (1/10 + 1/5).
  • Step 4: Calculate 1/10, which is 0.1.
  • Step 5: Calculate 1/5, which is 0.2.
  • Step 6: Add the two results: 0.1 + 0.2 = 0.3.
  • Step 7: Take the reciprocal of 0.3 to find R_eq: R_eq = 1 / 0.3.
  • Step 8: Calculate 1 / 0.3, which is approximately 3.33Ω.
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