What is the total impedance of a series AC circuit having a resistance of 6 ohms, an inductive reactance of 17 ohms, and zero capacitive reactance?
• Series AC circuit and how impedance combines for resistance (R) and reactance (X) • Relationship between impedance (Z), resistance (R), and reactive components in a right triangle • Effect of zero capacitive reactance (Xc = 0) on the total reactance
• How do you combine resistance and inductive reactance in a series AC circuit—do you simply add them, or do you treat them like the sides of a right triangle? • With Xc = 0, what is the net reactance of the circuit, and how does that affect the impedance calculation? • If R is one side of a right triangle and X is the other, what mathematical operation gives you the hypotenuse (Z)?
• Confirm that in a series AC circuit, resistance and reactance are combined using the impedance formula, not simple arithmetic addition. • Compute the net reactance first, considering that capacitive reactance is zero. • Use the Pythagorean theorem with correct values and check that your result is close to one of the choices.
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