1/(2 Pi sqrt(LC))
A parallel resonant circuit has low impedance, when non resonant; however the impedance rises sharply, as the circuit comes to resonance.
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 PARALLEL R-L-C CIRCUIT CIRCUIT,AT RESONANCE,IMPEDANCE IS MAXIMUM AND CURRENT IS MINIMUM.HENCE, SUCH A CIRCUIT WHEN USED IN RADIO STATIONS IS KNOWN AS REJECTOR CIRCUIT BECAUSE IT REJECTS OR TAKES MINIMUM CURRENT OF THAT DESIRED FREQUENCY TO WHICH IT RESONATES.(THIS RESONANCE IS OFTEN REFERRED TO AS CURRENT RESONANCE BECAUSE THE CURRENT CIRCULATING BETWEEN THE TWO BRANCHES IS MANY TIMES GREATER THAN THE LINE CURRENT TAKEN FROM THE SUPPLY.THE PHENOMENON OF PARALLEL RESONANCE IS OF GREAT PRACTICAL IMPORTANCE BECAUSE IT FORMS THE BASIS OF TUNED CIRCUITS IN ELECTRONICS.)A PARALLEL R-L-C CIRCUIT HAS THE PROPERTY OF SELECTIVITY I.E.IT CAN SELECT THE DESIRED FREQUENCY FOR AMPLIFICATION OUT OF A LARGE NUMBER OF FREQUENCIES SIMULTANEOUSLY IMPRESSED UPON IT.FOR INSTANCE IF A MIXTURE OF FREQUENCIES INCLUDING RESONANT FREQUENCY IS FED TO THE INPUT THEN MAXIMUM AMPLIFICATION OCCURS FOR THE RESONANT FREQUENCY.FOR ALL OTHER FREQUENCIES ,THE CIRCUIT OFFERS VERY LOW IMPEDANCE AND HENCE THESE ARE AMPLIFIED TO A LESSER EXTENT AND MAY BE THOUGHT AS REJECTED BY THE CIRCUIT.
Bypass capacitors are used to bypass (shunt) unwanted signals to the ground. A common use is in power supplies where a bypass capacitor is connected in parallel with the main filter capacitor to shunt noise and other high frequency interference to ground which the main capacitor may not be able to do.
A parallel resonant circuit has at its heart an inductorand a capacitor. These are the two parallel components. They each react to voltage and current 180 degrees out of phase with each other. When we "hit" this circuit, called a parallel tank circuit, or just a tank, with voltage, one component is "putting energy into the circuit" while the other one is "storing it up" and then the two components switch roles. The result is that the tank will oscillate, and the frequency of oscillation will be determined by the value of the capacitor and the inductor.
The differential equation for a capacitor is dv/dt = i/c. Set that up in a circuit and force an AC power source, such as sin(theta), and you will see that lowering the frequency will increase the equivalent resistance. I'll leave that exercise for you. The net result is that a series capacitor is a high-pass filter, while a parallel capacitor is a low-pass filter.
In series resonance, the inductance and the capacitance are connected in series, but in parallel resonance they are connected in parallel. In series resonance, at an input signal with a frequency equal to resonance frequency, the total impedance of both inductive and capacitive elements together is zero (or they appear as short circuits) unlike the parallel resonance case in which it is infinite and they appear as an open circuit.
What is frequency of parallel resonance formula?
As a parallel resonance circuit only functions on resonant frequency, this type of circuit is also known as an Rejecter Circuit because at resonance, the impedance of the circuit is at its maximum thereby suppressing or rejecting the current whose frequency is equal to its resonant frequency.
A parallel resonant circuit has low impedance, when non resonant; however the impedance rises sharply, as the circuit comes to resonance.
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.
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 PARALLEL R-L-C CIRCUIT CIRCUIT,AT RESONANCE,IMPEDANCE IS MAXIMUM AND CURRENT IS MINIMUM.HENCE, SUCH A CIRCUIT WHEN USED IN RADIO STATIONS IS KNOWN AS REJECTOR CIRCUIT BECAUSE IT REJECTS OR TAKES MINIMUM CURRENT OF THAT DESIRED FREQUENCY TO WHICH IT RESONATES.(THIS RESONANCE IS OFTEN REFERRED TO AS CURRENT RESONANCE BECAUSE THE CURRENT CIRCULATING BETWEEN THE TWO BRANCHES IS MANY TIMES GREATER THAN THE LINE CURRENT TAKEN FROM THE SUPPLY.THE PHENOMENON OF PARALLEL RESONANCE IS OF GREAT PRACTICAL IMPORTANCE BECAUSE IT FORMS THE BASIS OF TUNED CIRCUITS IN ELECTRONICS.)A PARALLEL R-L-C CIRCUIT HAS THE PROPERTY OF SELECTIVITY I.E.IT CAN SELECT THE DESIRED FREQUENCY FOR AMPLIFICATION OUT OF A LARGE NUMBER OF FREQUENCIES SIMULTANEOUSLY IMPRESSED UPON IT.FOR INSTANCE IF A MIXTURE OF FREQUENCIES INCLUDING RESONANT FREQUENCY IS FED TO THE INPUT THEN MAXIMUM AMPLIFICATION OCCURS FOR THE RESONANT FREQUENCY.FOR ALL OTHER FREQUENCIES ,THE CIRCUIT OFFERS VERY LOW IMPEDANCE AND HENCE THESE ARE AMPLIFIED TO A LESSER EXTENT AND MAY BE THOUGHT AS REJECTED BY THE CIRCUIT.
Bypass capacitors are used to bypass (shunt) unwanted signals to the ground. A common use is in power supplies where a bypass capacitor is connected in parallel with the main filter capacitor to shunt noise and other high frequency interference to ground which the main capacitor may not be able to do.
because at resonance frequency in LRC parallel circuit,impedance is high, so it minimize the current. thus we say its a rejector circuit .
A parallel resonant circuit has at its heart an inductorand a capacitor. These are the two parallel components. They each react to voltage and current 180 degrees out of phase with each other. When we "hit" this circuit, called a parallel tank circuit, or just a tank, with voltage, one component is "putting energy into the circuit" while the other one is "storing it up" and then the two components switch roles. The result is that the tank will oscillate, and the frequency of oscillation will be determined by the value of the capacitor and the inductor.
The differential equation for a capacitor is dv/dt = i/c. Set that up in a circuit and force an AC power source, such as sin(theta), and you will see that lowering the frequency will increase the equivalent resistance. I'll leave that exercise for you. The net result is that a series capacitor is a high-pass filter, while a parallel capacitor is a low-pass filter.
At resonance...a parallel tank circuit matches the applied sine voltage so close that there is almost 0 current flow from the source...i.e., max impedance at resonance...the capacitor and inductor are swapping energy with each other in tune with the source... visualize it...in order to have 0 current flow for an incoming varying voltage...that would mean that the tank voltage would be varying exactly at the same frequency and voltage! Thus...you have effectively "tuned" into a voltage which would be critical in 'tuned' voltage amplifier... A series resonant circuit does not tune into a voltage...in fact at resonance the voltage across the inductor capacitor will be 0!...a short or minimum impedance condition Of course my discussion assumed ideal components...in the real world there will be 'stray' resistances which will alter the results in magnitude to the size of the resistance... Hope this helps
Resonant means something vibrates at a given frequency. Usually if you can get an object to resonate at its resonant frequency - it will disintegrate ! For example - if you tap a wine-glass, it 'rings' - that's it's resonant frequency. Now - take a speaker and play the exact frequency through it, while holding it close to the glass - after a few seconds it will shatter because the glass vibrates too fast.