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An inductor rated at 4 Henrys is subjected to a sinusoidal AC voltage of 24 volts RMS, at a frequency of 60 hertz. Write the formula for calculating inductive reactance (X L), and solve for current through the inductor.
Inductive reactance is the property of an inductive coil that resists the change in alternating current (AC) through it and is similar to the opposition to direct current (DC) in a resistance.
22 wrz 2023 · Electrical Tutorial about AC Inductance and the Properties of AC Inductance including Inductive Reactance in a Single Phase AC Circuit
Inductive reactance can be calculated using this formula: X L = 2πfL; The angular velocity of an AC circuit is another way of expressing its frequency, in units of electrical radians per second instead of cycles per second. It is symbolized by the lowercase Greek letter “omega,” or ω. Inductive reactance increases with increasing ...
frequency of the current in the inductor. This opposition to current flow is called INDUCTIVE REACTANCE (X. L). The formula for Inductive Reactance mult iplies the angular velocity of the AC wave by the value of Inductance: Where 2ƒ or π ω is the angular velocity and L is the inductance in HENRYS.
The opposition of an inductor to a change in current is expressed as a type of AC resistance. Ohm’s law for an inductor is \[ I = \dfrac{V}{X_L},\] where \(V\) is the rms voltage across the inductor. \(X_L\) is defined to be the inductive reactance, given by \[X_L = 2\pi fL,\] with \(f\) the frequency of the AC voltage source in hertz.
The quantity \(X_L\) is known as the inductive reactance of the inductor, or the opposition of an inductor to a change in current; its unit is also the ohm. Note that \(X_L\) varies directly as the frequency of the ac source—high frequency causes high inductive reactance.
