Xl Inductance Formula

Inductive reactance or simply reactance is the resistance of an inductive circuit. It is termed as reactance because it is slightly different from the resistance offered by any device. And it is denoted as XL. Inductive reactance is the resistance offered by the inductive circuit.

What is XL and XC formula?

This resultant is called REACTANCE; it is represented by the symbol X; and expressed by the equation X = XL − XC or X = XC − X L. Thus, if a circuit contains 50 ohms of inductive reactance and 25 ohms of capacitive reactance in series, the net reactance, or X, is 50 ohms − 25 ohms, or 25 ohms of inductive reactance.

How do you calculate inductance of XL?

Inductive reactance is defined as:(10-4)XL=_ωL=2πfLwhere XL is the inductive reactance, ω is the angular frequency, f is the frequency in Hertz, and L is the inductance.

How do you calculate L from XL?

Just use algebra. XL = 2 x pi x f x L requires you divide both sides of the equation by (2 x pi x f) to "cancel" those terms on the right side of the equation, leaving just L = XL / (2 x pi x f).

What is the unit of XL?

Inductive Reactance (XL) Definition: Inductive reactance is the opposition offered by the inductor in an AC circuit to the flow of ac current. It is represented by (XL) and measured in ohms (Ω).

How do you calculate XL in an RLC circuit?

For a series RLC circuit, and impedance triangle can be drawn by dividing each side of the voltage triangle by its current, I. The voltage drop across the resistive element is equal to I*R, the voltage across the two reactive elements is I*X = I*XL – I*XC while the source voltage is equal to I*Z.

What is XL and XC in RLC circuit?

In a series RLC circuit at resonance, the two reactances, XL and XC are equal and canceling. In addition, the two voltages representing VL and VC are also opposite and equal in value, thereby canceling each other out.

What is XC in inductance?

Xc = Capacitive Reactance, in Ohms. • Xl = Inductive Reactance, in Ohms. • R = Resistance, in Ohms.

What is unit of XC?

The unit of Capacitive Reactance Xc is Ohm.

What is the reactance XL of the inductor?

In inductors, voltage leads current by 90 degrees. The formula for calculating the inductive reactance of a coil is: inductive reactance, or XL, is the product of 2 times p (pi), or 6.28, the frequency of the ac current, in hertz, and the inductance of the coil, in henries. XL =2p x f x L.

How do you calculate inductance?

The number of turns in the coil is N, and the induced EMF across the coil is E. The previous equation is modified to compute the value of inductance. ... L = μN2A/l

1. L = Inductance (H),
2. μ = Permeability (Wb/Am),
3. N = The coil's number of turns,
4. A = The coil's circumference,
5. l = Length of coil (m).

What is the unit of inductance L )?

The henry (symbolized H) is the Standard International ( SI ) unit of inductance . Reduced to base SI units, one henry is the equivalent of one kilogram meter squared per second squared per ampere squared (kg m 2 s -2 A -2 ).

Why is XL XC in resonance?

Electrical resonance is analogous to mechanical resonance. The energy transferred to a system is a maximum at resonance. One can show that, at resonance, XL = XC and thus the impedance (Z) is reduced to R. At resonance, the impedance is the lowest value possible and the current will be the largest value possible.

What is reactance formula?

As it has some alteration from the resistance, it is termed as reactance. Inductive reactance is denoted as XL. The SI unit is the ohm. The formula for reactance is given as. XL = 2πfL.

How do you find the inductance of an RLC circuit?

RLC Series Impedance The component voltages can be obtained by multiplying the current times the component impedances. Capacitor: VC = IXC = volts. Inductance: VL = IXL = volts.

What is the value of XL for DC?

Inductive Reactance, X For steady DC (frequency zero), XL is zero (no opposition), which means that inductors pass DC but block high frequency AC.

What is inductive reactance state its formula?

Inductive Reactance: The opposition offered by an inductor to the flow of alternating current through it is called the inductive reactance. It is denoted by XL. Its value is XL. =ωL=2πfL where. L is inductance and f is the frequency of the applied voltage.

What is the unit of inductive reactance and inductance?

Inductive reactance is expressed in ohms. (The unit of frequency is hertz, and that of inductance is henry.)

What is XL in RLC circuit?

In series RLC circuit, the condition XL(Inductive reactance) = XC (Capacitive reactance) is called resonance condition. In this condition the inductive reactance get cancelled by capacitive reactance. So,the entire RLC series circuit just acts as a resistive circuit. So,the power factor is unity.

What is RLC circuit formula?

RLC circuit equations that give the impedance measured in volts and phase measured in degrees are: Z=√R2+(XL−XC)2=√R2+(ω∗L−1ω∗C)2 Z = R 2 + ( X L − X C ) 2 = R 2 + ( ω ∗ L − 1 ω ∗ C ) 2 .