Asked by Rachel Bormann on May 08, 2024
Verified
An inductor is connected to a 60 Hz circuit. The inductive reactance is 75.4 Ω . What is the inductance of the inductor?
A) 0.2 H
B) 5 H
C) 284 H
D) 4524 H
Inductive Reactance
The opposition that an inductor presents to alternating current, due to the inductor's ability to store energy as a magnetic field.
Inductor
A passive electronic component that stores energy in its magnetic field.
Inductance
The property of a conductor by which a change in current in the conductor induces an electromotive force in both the conductor itself and in any nearby conductors by mutual inductance.
- Calculate inductive reactance given frequency and inductance.
Verified Answer
SH
Stacy HagarMay 13, 2024
Final Answer :
A
Explanation :
The inductive reactance (X_L) is given by the formula X_L = 2πfL, where f is the frequency and L is the inductance. Rearranging for L gives L = X_L / (2πf). Substituting the given values (X_L = 75.4 Ω, f = 60 Hz) into the formula yields L ≈ 0.2 H.
Learning Objectives
- Calculate inductive reactance given frequency and inductance.