Why is the circuit current a maximum when a series RLC is in resonance?

Why is the circuit current a maximum when a series RLC is in resonance?

After some time frequency becomes equal to resonant frequency, at that point inductive reactance becomes equal to capacitive reactance and the impedance of circuit reduces and is equal to circuit resistance only. So at this point, the circuit current becomes maximum I = V / R.

Is current is maximum or minimum at resonance in a series RLC circuit?

In a series RLC circuit, the current is minimum at resonance.

What happen when a series RLC circuit is in resonance?

Series Resonance The resonance of a series RLC circuit occurs when the inductive and capacitive reactances are equal in magnitude but cancel each other because they are 180 degrees apart in phase. The sharp minimum in impedance which occurs is useful in tuning applications.

What is the power factor in the series RLC circuit at resonance What is the reason for that?

Power Factor at Resonance. At resonance, the inductive reactance is equal to capacitive reactance and hence the voltage across inductor and capacitor cancel each other. The total impedance of circuit is resistance only. Therefore, the phase angle between voltage and current is zero and the power factor is unity.

Why the current is bigger at resonance?

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. The high value of current at resonance produces very high values of voltage across the inductor and capacitor.

What is maximum current in RL circuit?

The time required for the current flowing in the LR series circuit to reach its maximum steady state value is equivalent to about 5 time constants or 5τ. This time constant τ, is measured by τ = L/R, in seconds, where R is the value of the resistor in ohms and L is the value of the inductor in Henries.

What is the power factor at resonant frequency?

Therefore, the power factor of an LCR circuit at resonance is 1. Note: At resonance, the LCR circuit behaves like a purely resistive circuit and the effects of the capacitor and inductor cancel each other out.

Why current is minimum in parallel resonance?

As the total susceptance is zero at the resonant frequency, the admittance is at its minimum and is equal to the conductance, G. Therefore at resonance the current flowing through the circuit must also be at its minimum as the inductive and capacitive branch currents are equal ( IL = IC ) and are 180o out of phase.

Can current be higher than total current?

Due to this, it is possible at some moments that a branch has more current magnitude than the source itself. In the above picture, if you notice the dotted part ,the capacitor has more current than the source. However if you vector add their phasors, you will always get total current equal to source current.

Is high Q-factor good?

Higher Q indicates a lower rate of energy loss and the oscillations die out more slowly. A pendulum suspended from a high-quality bearing, oscillating in air, has a high Q, while a pendulum immersed in oil has a low one. Resonators with high quality factors have low damping, so that they ring or vibrate longer.

What is the current at resonance in series RLC?

In series RLC circuit current, I = V / Z but at resonance current I = V / R, therefore the current at resonant frequency is maximum as at resonance in impedance of circuit is resistance only and is minimum. The above graph shows the plot between circuit current and frequency.

How does the power of an RLC circuit vary?

If current varies with frequency in an RLC circuit, then the power delivered to it also varies with frequency. But the average power is not simply current times voltage, as it is in purely resistive circuits. As was seen in this figure, voltage and current are out of phase in an RLC circuit.

What is the average power of a resonant circuit?

The average power at resonance is just since at the resonant frequency ω0the reactive parts cancel so that the circuit appears as just the resistance R. Index

How are resonant curves related to the quality factor?

Using the same circuit parameters, the illustration at left shows the power dissipatedin the circuit as a function of frequency. Since this power depends upon the square of the current, these resonant curves appear steeper and narrower than the resonance peaks for current above. The quality factor Q is defined by