Asked by Dusty Dawson on May 12, 2024
Verified
An inductor has an inductive reactance of 64 Ω , and a wire resistance of 36 Ω . What is the impedance of the inductor?
A) 10 Ω
B) 28 Ω
C) 73.4 Ω
D) 82.92 Ω
Inductive Reactance
The opposition to the change of electric current in an inductor, measured in ohms.
Impedance
A measure of the opposition that a circuit presents to the passage of alternating current, expressed in ohms and combining resistive and reactive elements.
Resistance
The property of a material or component that opposes the flow of electric current, measured in ohms (Ω).
- Determine the impedance of a circuit containing inductance and resistance.
Verified Answer
JD
Jenny DuongMay 16, 2024
Final Answer :
C
Explanation :
The impedance of an inductor is calculated using the formula Z=R2+XL2Z = \sqrt{R^2 + X_L^2}Z=R2+XL2 , where ZZZ is the impedance, RRR is the resistance, and XLX_LXL is the inductive reactance. Substituting the given values, Z=362+642=1296+4096=5392≈73.4ΩZ = \sqrt{36^2 + 64^2} = \sqrt{1296 + 4096} = \sqrt{5392} ≈ 73.4 \OmegaZ=362+642=1296+4096=5392≈73.4Ω .
Learning Objectives
- Determine the impedance of a circuit containing inductance and resistance.