What is the relationship between frequency and inductive reactance?

What is the relationship between frequency and inductive reactance?

• A. Inductive reactance decreases with frequency
• B. Inductive reactance is unaffected by frequency
• C. Inductive reactance increases with frequency
• D. Inductive reactance equals the frequency

Answer: (C)

Inductive reactance is defined by the formula XL = 2πfL, where XL represents the inductive reactance, f is the frequency in hertz, and L is the inductance in henries. This equation demonstrates that inductive reactance is directly proportional to frequency. As the frequency of the alternating current (AC) increases, the inductive reactance also increases due to the multiplying factor of the frequency. This relationship is fundamental in understanding how inductors behave in AC circuits; as the reactance increases, it can significantly impact the overall impedance and performance of the circuit. Thus, the response indicating that inductive reactance increases with frequency accurately reflects this critical relationship in electrical theory.

Inductive reactance is defined by the formula XL = 2πfL, where XL represents the inductive reactance, f is the frequency in hertz, and L is the inductance in henries. This equation demonstrates that inductive reactance is directly proportional to frequency. As the frequency of the alternating current (AC) increases, the inductive reactance also increases due to the multiplying factor of the frequency. This relationship is fundamental in understanding how inductors behave in AC circuits; as the reactance increases, it can significantly impact the overall impedance and performance of the circuit. Thus, the response indicating that inductive reactance increases with frequency accurately reflects this critical relationship in electrical theory.