Inductive reactance is _____ proportional to the frequency.

Inductive reactance is _____ proportional to the frequency.

• A. Indirectly
• B. Directly
• C. Inversely
• D. Exponentially

Answer: (B)

Inductive reactance is directly proportional to the frequency. This relationship stems from the fundamental principles of inductors in AC circuits. The formula for inductive reactance (XL) is given by: \[ XL = 2\pi f L \] where \( f \) is the frequency and \( L \) is the inductance value in henries. From this formula, it is clear that as the frequency increases, the inductive reactance increases as well, indicating a direct proportionality. This means that if you double the frequency, the inductive reactance will also double, illustrating that the two quantities move in tandem. Understanding this relationship is crucial for engineers and technicians when working with AC circuits, as it affects circuit behavior, impedance calculations, and system design. Recognizing the impact of frequency on inductive reactance is vital for ensuring proper functionality and efficiency in electronic and communication systems.

Inductive reactance is directly proportional to the frequency. This relationship stems from the fundamental principles of inductors in AC circuits. The formula for inductive reactance (XL) is given by:

[ XL = 2\pi f L ]

where ( f ) is the frequency and ( L ) is the inductance value in henries. From this formula, it is clear that as the frequency increases, the inductive reactance increases as well, indicating a direct proportionality.

This means that if you double the frequency, the inductive reactance will also double, illustrating that the two quantities move in tandem. Understanding this relationship is crucial for engineers and technicians when working with AC circuits, as it affects circuit behavior, impedance calculations, and system design. Recognizing the impact of frequency on inductive reactance is vital for ensuring proper functionality and efficiency in electronic and communication systems.