What is the formula for calculating inductive reactance (XL)?

What is the formula for calculating inductive reactance (XL)?

• A. XL = R + B
• B. XL = 2πfL
• C. XL = V/I
• D. XL = L/f

Answer: (B)

The formula for calculating inductive reactance (XL) is based on the relationship between the frequency of the alternating current (AC) and the inductance of the coil. The correct formula, XL = 2πfL, demonstrates that inductive reactance is directly proportional to both the frequency (f) of the AC supply and the inductance (L) of the coil. In this formula, π is a mathematical constant approximately equal to 3.14, and multiplying by 2 gives a conversion factor to relate the frequency in hertz (Hz) to inductive reactance measured in ohms. A higher frequency or greater inductance results in increased inductive reactance, which affects the phase shift and behavior of the AC circuit. Understanding this formula is crucial for HVAC technicians when assessing the performance of various components in systems that utilize inductive loads, such as motors and transformers. This knowledge allows for better design and troubleshooting of electrical systems involving inductance. The other choices do not represent the correct relationship for calculating inductive reactance, as they refer to different principles or forms of electrical equations.

The formula for calculating inductive reactance (XL) is based on the relationship between the frequency of the alternating current (AC) and the inductance of the coil. The correct formula, XL = 2πfL, demonstrates that inductive reactance is directly proportional to both the frequency (f) of the AC supply and the inductance (L) of the coil.

In this formula, π is a mathematical constant approximately equal to 3.14, and multiplying by 2 gives a conversion factor to relate the frequency in hertz (Hz) to inductive reactance measured in ohms. A higher frequency or greater inductance results in increased inductive reactance, which affects the phase shift and behavior of the AC circuit.

Understanding this formula is crucial for HVAC technicians when assessing the performance of various components in systems that utilize inductive loads, such as motors and transformers. This knowledge allows for better design and troubleshooting of electrical systems involving inductance.

The other choices do not represent the correct relationship for calculating inductive reactance, as they refer to different principles or forms of electrical equations.