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CFAA Fire Alarm Technician · Question

A circuit has a 20 Ohm resistor (R1) in parallel with a branch containing two 10 Ohm resistors (R2 and R3) in series. What is the total resistance?

The series branch (R2+R3) = 10 + 10 = 20 Ohms. This 20 Ohm branch is in parallel with R1 (20 Ohms). Parallel of two 20 Ohms = 10 Ohms. Total = 10 Ohms.

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Question: A circuit has a 20 Ohm resistor (R1) in parallel with a branch containing two 10 Ohm resistors (R2 and R3) in series. What is the total resistance?

Answer options:

  • 30 Ω
  • 20 Ω
  • 15 Ω ✅ 10 Ω

Correct answer: 10 Ω

Explanation: The series branch (R2+R3) = 10 + 10 = 20 Ohms. This 20 Ohm branch is in parallel with R1 (20 Ohms). Parallel of two 20 Ohms = 10 Ohms. Total = 10 Ohms.

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