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.
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 = -1 / (2 pi f C)XC = about -2653 ohmsThe minus sign indicates the current is leading in the this case. Treat it as if the sign were not there.
The relationship between resistance and capacitance in a clc circuit is the capacitive reactance given by XC.
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.
the impedance of the capacitor is given by Xc=1/jwC where w=2*pi*f and for DC source f=0 hence Xc=infinity ie, the capacitor will provide infinite impedance for DC, or its Open circuit
The total impedance of a circuit with a capacitor in parallel with a resistor is calculated using the formula Z 1 / (1/R 1/Xc), where Z is the total impedance, R is the resistance of the resistor, and Xc is the reactance of the capacitor. This formula takes into account the combined effects of resistance and reactance in the circuit.
The equivalent impedance of a resistor and capacitor in parallel is calculated using the formula Z 1 / (1/R 1/Xc), where Z is the total impedance, R is the resistance of the resistor, and Xc is the reactance of the capacitor. This formula takes into account the combined effects of resistance and capacitance in the circuit.
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.
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.
In dc equivalent circuit of an amplifier all capacitors are replaced by open circuit because capacitor block dc. As , Xc=1/2πfC We know that that frequency of dc is zero so Xc will infinite so we replace all capacitors with open circuit.
At high frequency, capacitor can be considered as 1. Short Circuit in AC analysis. 2. Open Circuit in DC analysis. {because Xc= 1/(2*f*pi) where f= supply frequency,pi=3.14} As at high frequencies, in DC analysis, capacitor will be open circuited & can block the DC signal while AC signal is allowed to pass through.. Hence, this capacitor will act as a blocking capacitor for DC supply.
XL=XC
Because reactance of capacitor is inversly proportional to the frequency i.e- Xc=1/(2*pie*f*c) where f is frequency and c is capacitance of capacitor.
what parameter stay the same in LCR circuit ?
The two factors that determine the capacitive reactance of a capacitor are the frequency of the alternating current passing through the capacitor and the capacitance value of the capacitor. Capacitive reactance (Xc) is inversely proportional to the frequency (f) and directly proportional to the capacitance (C), as calculated using the formula Xc = 1 / (2πfC).
Nice data. What's your question ?Could you possibly be asking for the frequency ???Xc = 1 / (2 pi f C)f = 1 / (2 pi Xc C)= 106 / (2 pi Xc 0.15)= 106 / (600.264)= 1665.9 Hz (rounded)