When the inductive reactance (XL) equals the capacitive reactance (XC) in an AC circuit, the circuit is said to be in resonance. In a phasor diagram, the voltage phasor across the inductor (V_L) and the voltage phasor across the capacitor (V_C) will be equal in magnitude but opposite in direction, effectively canceling each other out. As a result, the total voltage phasor will be aligned with the current phasor, indicating that the circuit behaves as purely resistive at this point. The current phasor will lead the voltage phasor by 90 degrees in an inductive circuit and lag in a capacitive circuit, but at resonance, they are in phase.
Load of a series R-L-C circuit is given by R+j(XL-XC). where R=resistance,XL=reactance,Xc=reactance. Load will be capacitive if (XL-XC)<0. or, XC>XL or,1/(wC)>wL [w=2*pi*n where n=frequency,C=capacitance,L=inductunce] therefore n<1/(2*pi*sqrt(LC))
In an LCR circuit, which consists of an inductor (L), capacitor (C), and resistor (R) in series or parallel, the condition for resonance occurs when the inductive reactance (XL) equals the capacitive reactance (XC). This can be mathematically expressed as (XL = XC), or (\omega L = \frac{1}{\omega C}), where (\omega) is the angular frequency. At resonance, the circuit exhibits maximum current and minimal impedance, resulting in a peak response at a specific frequency known as the resonant frequency.
Xc(capacitive reactance) = 1/(2piFC)XL(inductive reactance) = 2piFLWhere pi=3.14etc.,F=frequency and C and L are capacitance and inductance.Please pardon lack of proper symbology.
Because the series resonant circuit has the lowest possible impedance at resonance frequency, thus allowing the AC current to circulate through it. At resonance frequency, XC=XL and XL-XC = 0. Therefore, the only electrical characteristic left in the circuit to oppose current is the internal resistance of the two components. Hence, at resonance frequency, Z = R. Note: This effect is probably better seen with vectors. Clarification: Resonant circuits come in two flavors, series and parallel. Series resonant circuits do have an impedance equal to zero at the resonant frequency. This characteristic makes series resonant circuits especially well suited to be used as basic pass-band filters (acceptors). However, parallel circuits present their maximum impedance at the resonant frequency, which makes them ideal for tuning purposes.
The frequency at which the impedance of the circuit becomes zero is known as resonance frequency. Actually at resonance resistance only presence in the circuit. That means the impedance of the inductor and capacitor will automatically vanish.
XL=XC
The sum of the Roman numerals: V+XL+XLV = XC (90)
Load of a series R-L-C circuit is given by R+j(XL-XC). where R=resistance,XL=reactance,Xc=reactance. Load will be capacitive if (XL-XC)<0. or, XC>XL or,1/(wC)>wL [w=2*pi*n where n=frequency,C=capacitance,L=inductunce] therefore n<1/(2*pi*sqrt(LC))
ripple factor:=21/2 /3 *Xc/XL
In an LCR circuit, which consists of an inductor (L), capacitor (C), and resistor (R) in series or parallel, the condition for resonance occurs when the inductive reactance (XL) equals the capacitive reactance (XC). This can be mathematically expressed as (XL = XC), or (\omega L = \frac{1}{\omega C}), where (\omega) is the angular frequency. At resonance, the circuit exhibits maximum current and minimal impedance, resulting in a peak response at a specific frequency known as the resonant frequency.
Z=(R^2+(Xl*Xc)^2)^1/2 impedance equcation
XL (inductive reactance) and XC (capacitive reactance) are equal when the circuit is at resonance, typically in an RLC circuit. This condition occurs at a specific frequency known as the resonant frequency, where the inductive and capacitive effects cancel each other out, resulting in a purely resistive impedance. Mathematically, this can be expressed as XL = XC, or (2\pi f L = \frac{1}{2\pi f C}), where f is the frequency, L is inductance, and C is capacitance. At this point, the circuit can maximize current flow and minimize impedance.
XL equals 40.
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XL=Xc is the resonance condition for an RLC circuit