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Q: At what frequency is the reactance of a 0.450 inductor equal to that of a 2.50 capacitor?
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Why is the parallel resonant circuit called an rejector circuit?

THE PARALLEL rlc CIRCUIT IS CALLED A REJECTOR CIRCUIT BECAUSE IT REJECTS DOWN THE CURRENT. THE REASON IS AT RESONANCE THE IMPEDENCE OF THE CAPACITOR BECOMES EQUAL TO THAT OF THE INDUCTOR SO NO CURRENT FLOWS. AT LOW FREQUENCY THE CAPACITIVE REACTANCE IS LOW SO ALL THE CURRENT FLOWS THROUGH THE INDUCTOR AND WHEN THE FREQUENCY IS HIGH ALL THE CURRENT WILL FLOW THROUGH THE CAPACITOR BECAUSE AT THAT POINT THE REACTANCE OF THE CAPACITOR IS LOW. SO WE OBTAIN A V-SHAPED GRAPH WITH THE PEAK OF V INDICATING THE REJECTION OF CURRENT.


In a tank circuit why can be the energy across the inductor and that of the capacitor not be equal?

When an LC tank is excited at the resonant frequency, the energy across each will be equal (but not necessary equal at a given moment in time). If excited at a frequency other than the resonant frequency, the impedance of the inductor (wjL) and capacitor (1/wjC) will not be equal, therefore energy across each will be different.


What is a serial resonant circuit?

A series resonant circuit is one in which the inductive and capacitive reactance are equal in magnitude. Since the signs of the vectors of their reactance are opposite, they cancel and so leave only the resistance of the series circuit at the resonant frequency. Because reactance of a capacitor is inversely related to frequency, and the reactance of an inductor is directly related to frequency, this happens at a particular frequency dependent on the values of capacitance and inductance. You see, when you apply a sine wave to an inductor, the current lags behind the voltage by 90 degrees. Or you may look at it as the voltage leading the current by 90 degrees. But when a sine wave is applied to a capacitor, the reverse is true. Current leads voltage by 90 degrees. Or voltage lags behind current by 90 degrees. Put a capacitor and inductor in series and input a sine wave of current at the frequency at which both have the same amount of reactance. Current is equal in magnitude and phase everywhere in a series circuit. Voltage dropped across the inductor is 90 degrees ahead of the current, while voltage dropped across the capacitor is 90 degrees behind the current. This puts the voltage drops 180 degrees out of phase with each other. Because the applied frequency is the one at which the reactance of each component is equal in magnitude, the voltage drops are also equal in magnitude so they sum to zero volts. Zero volts at any current is zero ohms (Ohm's law, R = E/I). In the real world, both parts have resistance or a series resistor may be part of the design. But the end result is that impedance of the series circuit is lowest at the resonant frequency.


What is meant by resonance in LCR circuit?

a circuit in which inductance L,capacitance C and resistance R are connected in series and the circuit admits maximumum current corresponding to a given frequency of a.c.Another AnswerIn the case of a series circuit, resonance occurs when its inductive reactance is exactly equal to its capacitive reactance. As the vector sum of these two quantities will then be zero, the only opposition to current will be resistance and, so, maximum current will flow through the circuit when resonance occurs. ALL circuits can be made to resonate at what is called their 'resonant frequency' because, as frequency increases, the inductive reactance increases but capacitive reactance falls -so, at some point the two will equal each other, and resonance will occur.In my view resonance means - the condition that exists when the inductive reactance and the capacitive reactance are of equal magnitude, causing electrical energy to oscillate between the magnetic field of the inductor and the electric field of the capacitor.


Does the impedance of a parallel RLC circuit equal to the value of the resistor?

No. You have to consider the inductor and the capacitor. Impedance of RLC circuit is equal to to the Value of Resistor Only AND Only on Resonate frequency. otherwise u have to cnsider resistance inductance and capacitance together in series.

Related questions

Why there's high voltage at series rlc resonant frequency?

With a series RLC circuit the same current goes through all three components. The reactance of the capacitor and inductor are equal and opposite at the resonant frequency, so they cancel out and the supply voltage appears across the resistor. This means that the current is at its maximum, but that current, flowing through the inductor and the capacitor, produces a voltage across each that is equal to the current times the reactance. The voltage magnification is the 'Q factor', equal to the reactance divided by the resistance.


What is the definition of capactive reactance?

reactance due to the capacitance of a capacitor or circuit,equal to the inverse of the product of the capacitance and the angular frequency.


Why is the parallel resonant circuit called an rejector circuit?

THE PARALLEL rlc CIRCUIT IS CALLED A REJECTOR CIRCUIT BECAUSE IT REJECTS DOWN THE CURRENT. THE REASON IS AT RESONANCE THE IMPEDENCE OF THE CAPACITOR BECOMES EQUAL TO THAT OF THE INDUCTOR SO NO CURRENT FLOWS. AT LOW FREQUENCY THE CAPACITIVE REACTANCE IS LOW SO ALL THE CURRENT FLOWS THROUGH THE INDUCTOR AND WHEN THE FREQUENCY IS HIGH ALL THE CURRENT WILL FLOW THROUGH THE CAPACITOR BECAUSE AT THAT POINT THE REACTANCE OF THE CAPACITOR IS LOW. SO WE OBTAIN A V-SHAPED GRAPH WITH THE PEAK OF V INDICATING THE REJECTION OF CURRENT.


In a tank circuit why can be the energy across the inductor and that of the capacitor not be equal?

When an LC tank is excited at the resonant frequency, the energy across each will be equal (but not necessary equal at a given moment in time). If excited at a frequency other than the resonant frequency, the impedance of the inductor (wjL) and capacitor (1/wjC) will not be equal, therefore energy across each will be different.


What is a serial resonant circuit?

A series resonant circuit is one in which the inductive and capacitive reactance are equal in magnitude. Since the signs of the vectors of their reactance are opposite, they cancel and so leave only the resistance of the series circuit at the resonant frequency. Because reactance of a capacitor is inversely related to frequency, and the reactance of an inductor is directly related to frequency, this happens at a particular frequency dependent on the values of capacitance and inductance. You see, when you apply a sine wave to an inductor, the current lags behind the voltage by 90 degrees. Or you may look at it as the voltage leading the current by 90 degrees. But when a sine wave is applied to a capacitor, the reverse is true. Current leads voltage by 90 degrees. Or voltage lags behind current by 90 degrees. Put a capacitor and inductor in series and input a sine wave of current at the frequency at which both have the same amount of reactance. Current is equal in magnitude and phase everywhere in a series circuit. Voltage dropped across the inductor is 90 degrees ahead of the current, while voltage dropped across the capacitor is 90 degrees behind the current. This puts the voltage drops 180 degrees out of phase with each other. Because the applied frequency is the one at which the reactance of each component is equal in magnitude, the voltage drops are also equal in magnitude so they sum to zero volts. Zero volts at any current is zero ohms (Ohm's law, R = E/I). In the real world, both parts have resistance or a series resistor may be part of the design. But the end result is that impedance of the series circuit is lowest at the resonant frequency.


What is resonance frequency in electronics?

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.


What is meant by resonance in LCR circuit?

a circuit in which inductance L,capacitance C and resistance R are connected in series and the circuit admits maximumum current corresponding to a given frequency of a.c.Another AnswerIn the case of a series circuit, resonance occurs when its inductive reactance is exactly equal to its capacitive reactance. As the vector sum of these two quantities will then be zero, the only opposition to current will be resistance and, so, maximum current will flow through the circuit when resonance occurs. ALL circuits can be made to resonate at what is called their 'resonant frequency' because, as frequency increases, the inductive reactance increases but capacitive reactance falls -so, at some point the two will equal each other, and resonance will occur.In my view resonance means - the condition that exists when the inductive reactance and the capacitive reactance are of equal magnitude, causing electrical energy to oscillate between the magnetic field of the inductor and the electric field of the capacitor.


Why the current increases upto resenance frequency and decreases there after in a series LCR circuit?

At resonance, the L and C impedance cancels out, so the current can be calculated based on the resistance and applied voltage. Imagine increasing frequency of the supply from 0 Hz to very high. At low frequency, the impedance of the inductor is ~0 (defined as Zl = w*L*j), and the impedance of the capacitor is very large (defined as Zc = 1 / (w*C*j)). As you increase the frequency, the impedance of the capacitor will decrease, as the impedance of the inductor increases. At some point (the resonant frequency), these two will be equal, with opposite signs. After crossing the resonant frequency, the inductor impedance will continue growing larger than the capacitor impedance until the total impedance approaches infinite.


Are Inductor and Capacitor impedance in phase when a resonance frequency is reached?

Not at all..bcoz den da phenomenon of resonance itself will not occur..Look,resonance occurs wen inductive and capacitive reactance cancel out each other,i.e. the magnitudes of inductive and capacitive reactances are equal but they are 180deg out of phase with one other. Under resonance:: jwL=1/jwC BY...Rahul


Does the impedance of a parallel RLC circuit equal to the value of the resistor?

No. You have to consider the inductor and the capacitor. Impedance of RLC circuit is equal to to the Value of Resistor Only AND Only on Resonate frequency. otherwise u have to cnsider resistance inductance and capacitance together in series.


What circumstances is it possible for the rms current drawn from a certain source to have the same magnitude when an inductance is connected in series with a given impedance?

The same as what? when an inductor is connected in series with a resistor and a current passed through them, the voltages across the resistor and inductor are equal when the reactance is equal to the resistance: 2.pi.f.L = R


What is the element law of a capacitor in frequency domain?

The element law of a capacitor in frequency domain is based on Ohm's Law, which is capacitance times voltage is equal to current. The higher frequency, the lower the capacitance and vice versa.