What formula determines the inductive reactance of a coil given the frequency and coil inductance?

What formula determines the inductive reactance of a coil given the frequency and coil inductance?

• A. XL = IR
• B. XL = 2πfL
• C. XL = 2fL
• D. XL = R/L

Answer: (B)

The formula that determines the inductive reactance of a coil, given the frequency and coil inductance, is represented by the equation XL = 2πfL. In this formula: - XL is the inductive reactance, measured in ohms. - f is the frequency of the alternating current, measured in hertz (Hz). - L is the inductance of the coil, measured in henries (H). The term 2πfL signifies how inductive reactance increases with both the frequency of the signal and the coil's inductance. As frequency increases or as the inductance of the coil increases, the inductive reactance also increases, which affects the impedance in AC circuits. This relationship is fundamental in understanding how inductors behave in alternating current circuits, where inductors impede changes in current and thus contribute to the overall reactance of the circuit. The other formulas listed do not accurately describe the inductive reactance and are based on different electrical principles or incorrect relationships. For instance, the first option relates to Ohm's law, while the others do not represent the correct relationship between frequency, inductance, and reactance.

The formula that determines the inductive reactance of a coil, given the frequency and coil inductance, is represented by the equation XL = 2πfL. In this formula:

• XL is the inductive reactance, measured in ohms.

• f is the frequency of the alternating current, measured in hertz (Hz).

• L is the inductance of the coil, measured in henries (H).

The term 2πfL signifies how inductive reactance increases with both the frequency of the signal and the coil's inductance. As frequency increases or as the inductance of the coil increases, the inductive reactance also increases, which affects the impedance in AC circuits.

This relationship is fundamental in understanding how inductors behave in alternating current circuits, where inductors impede changes in current and thus contribute to the overall reactance of the circuit. The other formulas listed do not accurately describe the inductive reactance and are based on different electrical principles or incorrect relationships. For instance, the first option relates to Ohm's law, while the others do not represent the correct relationship between frequency, inductance, and reactance.