USCG Exam PracticeAC circuits and theory
A series AC circuit has a resistance of 6 ohms, an inductive reactance of 10 ohms, and a capacitive reactance of 2 ohms. What is the impedance of the circuit?
- A. 18 Ω
- ✓ 10 ΩCorrect
- C. 8 Ω
- D. 14 Ω
Why B is correct
Net reactance X = XL − XC = 10 − 2 = 8 Ω. Impedance Z = √(R² + X²) = √(36 + 64) = √100 = 10 Ω. Simply summing all three values arithmetically gives 18 Ω, which ignores the vector relationship between resistance and reactance. (NEETS Mod. 2 §4-1)
Cited:NEETS Mod. 2 §4-1