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Which statement is true for a series RLC AC circuit operating under resonance condition?
In series RLC network under resonance condition the value of inductive reactance is equal to the capacitive reactance and they will cancel each other. Therefore impedance become equals to resistance and is minimum under resonance condition and hence current is maximum.
How do you calculate resonant frequency for a series AC circuit?
Since the circuit is at resonance, the impedance is equal to the resistor. Then, the peak current is calculated by the voltage divided by the resistance. The resonant frequency is found from Equation 15.6. 5: f0=12π√1LC=12π√1(3.00×10−3H)(8.00×10−4F)=1.03×102Hz.
When a series RLC circuit is operating at its resonant frequency?
Resonance occurs when XL = XC and the imaginary part of the transfer function is zero. At resonance the impedance of the circuit is equal to the resistance value as Z = R. At low frequencies the series circuit is capacitive as: XC > XL, this gives the circuit a leading power factor.
Which is true for a series resonance circuit?
A series resonant circuit is inductive if it operates at a frequency higher than resonant frequency statement is true.
What is the current of a series RLC circuit at resonance?
Series RLC Circuit at Resonance Since the current flowing through a series resonance circuit is the product of voltage divided by impedance, at resonance the impedance, Z is at its minimum value, (=R). Therefore, the circuit current at this frequency will be at its maximum value of V/R as shown below. Series Circuit Current at Resonance
An RLC series circuit with an AC voltage source. The combined effect of resistance, inductive reactance, and capacitive reactance is defined to be impedance, an AC analogue to resistance in a DC circuit. Current, voltage, and impedance in an RLC circuit are related by an AC version of Ohm’s law:
What is the frequency dependence of a RLC circuit?
The crux of the analysis of an RLC circuit is the frequency dependence of XL and XC, and the effect they have on the phase of voltage versus current (established in the preceding section). These give rise to the frequency dependence of the circuit, with important “resonance” features that are the basis of many applications, such as radio tuners.
How is a RLC circuit similar to a DC Circuit?
An RLC series circuit is a resistor, capacitor, and inductor series combination across an ac source. The same current flows through each element of an RLC series circuit at all points in time. The counterpart of resistance in a dc circuit is impedance, which measures the combined effect of resistors, capacitors, and inductors.