Category: Resonance

Locus Diagram of Parallel RLC Circuit

Locus Diagram of Parallel RLC Circuit: (a) Variable XL – Locus plots are drawn for parallel branches containing RLC elements in a similar way as for series circuits. Here we have more than one current locus. Consider the Locus Diagram of Parallel RLC Circuit shown in Fig. 8.25(a). The quantities that may be varied are […]

Locus Diagram of RL Series Circuit

Locus Diagram of RL Series Circuit: To discuss the basis of representing a Locus Diagram of RL Series Circuit by means of a circle diagram consider the circuit shown in Fig. 8.19(a). The analytical procedure is greatly simplified by assuming that inductance elements have no resistance and that capacitors have no leakage current. The circuit […]

Current Magnification in Parallel Resonance

Current Magnification in Parallel Resonance: Current Magnification in Parallel Resonance occurs when the voltage applied to the parallel circuit, V=IR Since For the Capacitor, Therefore, the quality factor Qr = IL/I or IC/I Reactance curves in Parallel Resonance: The effect of variation of frequency on the reactance of the parallel circuit is shown in Fig. 8.18. […]

Quality Factor of Parallel RLC Circuit

Quality Factor of Parallel RLC Circuit: Consider the Quality Factor of Parallel RLC Circuit shown in Fig. 8.16. In the circuit shown, the condition for resonance occurs when the susceptance part is zero. Admittance The frequency at which resonance occurs is The voltage and current variation with frequency is shown in Fig. 8.17. At resonant […]

Parallel RLC Circuit Resonance

Parallel RLC Circuit Resonance: Parallel RLC Circuit Resonance – Basically, parallel resonance occurs when XC = XL. The frequency at which resonance occurs is called the resonant frequency. When XC = XL, the two branch currents are equal in magnitude and 180° out of phase with each other. Therefore, the two currents cancel each other out, […]

Voltage Magnification in Series Resonance

Voltage Magnification in Series Resonance: Voltage Magnification in Series Resonance – If we assume that the voltage applied to the series RLC circuit is V, and the current at resonance is I, then the voltage across L is VL = IXL = (V/R) ωrL. Similarly, the voltage across C Since , where ωr is the frequency at resonance. […]

Bandwidth of RLC Circuit

Bandwidth of RLC Circuit: The bandwidth of any system is the range of frequencies for which the current or output voltage is equal to 70.7% of its value at the resonant frequency, and it is denoted by BW. Figure 8.9 shows the response of a series Bandwidth of RLC Circuit. Here the frequency f1 is […]

Voltage and Current in Series Resonant Circuit

Voltage and Current in Series Resonant Circuit: The variation of impedance and current with frequency of Voltage and Current in Series Resonant Circuit is shown in Fig. 8.7. At resonant frequency, the capacitive reactance is equal to inductive reactance, and hence the impedance is minimum. Because of minimum impedance, maximum current flows through the circuit. […]

Impedance and Phase Angle of Series Resonant Circuit

Impedance and Phase Angle of Series Resonant Circuit: The impedance of a Series Resonant Circuit is The variation of XC and XL with frequency is shown in Fig. 8.4. At zero frequency, both XC and Z are infinitely large, and XL is zero because at zero frequency the capacitor acts as an open circuit and the […]

Series Resonance Circuit

Series Resonance Circuit: Series Resonance Circuit – In many electrical circuits, resonance is a very important phenomenon. The study of resonance is very useful, particularly in the area of communications. For, example, the ability of a radio receiver to select a certain frequency, transmitted by a station and to eliminate frequencies from other stations is […]