Asked by Marina Aschilean on Jun 14, 2024
Verified
An inductor has an inductive reactance of 12 Ω , and a wire resistance of 16 Ω . What is the impedance of the inductor?
A) 4 Ω
B) 20 Ω
C) 28 Ω
D) 400 Ω
Inductive Reactance
The opposition that inductance offers to alternating current, dependent on the frequency of the current.
Resistance
A measurement of the opposition to the flow of electric current, causing electrical energy to be converted into heat.
- Ascertain the impedance in a circuit that encompasses both inductance and resistance.
Verified Answer
AR
Alexis ReneeJun 18, 2024
Final Answer :
B
Explanation :
The impedance of an inductor is calculated using the formula Z=R2+XL2Z = \sqrt{R^2 + X_L^2}Z=R2+XL2 , where RRR is the resistance and XLX_LXL is the inductive reactance. Substituting the given values, Z=162+122=256+144=400=20ΩZ = \sqrt{16^2 + 12^2} = \sqrt{256 + 144} = \sqrt{400} = 20 \OmegaZ=162+122=256+144=400=20Ω .
Learning Objectives
- Ascertain the impedance in a circuit that encompasses both inductance and resistance.