# Series Resonance vs. Parallel Resonance

## Key Differences

## Comparison Chart

### .

### Impedance

### Current

### Effective Impedance

### Magnifies

### Power Factor

### Admittance

### The Equation for Effective Impedance

### Applications

### Series Resonance vs. Parallel Resonance

In series resonance, a series RLC circuit contains the minimum impedance at the resonant frequency. On the other hand, in parallel resonance, a parallel RLC circuit contains maximum impedance at the resonant frequency. In series resonance, a series RLC circuit consist of maximum flow of current at the resonant frequency; on the contrary, in parallel resonance, a parallel RLC circuit consists of a minimum flow of current at the resonant frequency. In a series resonance circuit, the effective impedance is given by R (resistance of resistor); on the flip side, in parallel resonance, the effective impedance is given by inductance and capacitance (L/CR).

The resonant frequency in the series resonance circuit is given as 1/(2*π*(LC)^{0.5}); on the other hand, the resonant frequency in parallel resonance circuit is given as (1/2*π) *{(1/LC)- R^{2}/L^{2}}^{0.5}. The series resonance circuit magnifies the voltage in the circuit; on the contrary, the parallel resonance circuit usually magnifies the current present in the circuit. The series resonance circuit is also known as the acceptor circuit; on the flip side, the parallel resonance circuit is also known as the rejector circuit.

The power factor in the series resonance circuit contains unity; on the contrary, the power factor in the parallel resonance circuit also contains unity. The series resonance circuit contains the maximum admittance at resonance condition; on the flip side, the parallel resonance circuit contains the minimum admittance at resonance condition. The equation in series RLC circuit for effective impedance is generally written as Z_{0} =R; on the other hand, the equation in parallel RLC circuit for effective impedance is usually written as Z_{0} = L/CR.

In series resonance circuit the Q-factor is given as Ѡ_{0 }L/R; on the contrary, in parallel resonance circuit, the Q-factor is generally given as R/ Ѡ_{0 }L. The worldwide applications for series resonance circuit include they are used for Tuning purpose, used as Oscillator Circuit, used as a Voltage Amplifier, used in the communication system for signal processing, used as High-frequency filter circuit, while the main applications for parallel resonance are for Tuning purpose, used in Induction heating system, used as a Current Amplifier, used as a filter circuit, used in RF amplifiers.

### What is Series Resonance?

The resonance which is present in a series of the circuit having a resistor of the resistance (R), a conductance (C), and the inductance (L) is known as **series resonance**. In series resonance, the capacitor contains a capacitive reactance (X_{C}), which is given by. The inductor in series resonance usually contains an inductive reactance (X_{L}) given by. We know that the amount of the entire impedance could be assumed by.

The flow of current in-circuit is written as. In the AC circuit, if its frequency could be changed, then the values of both X_{C }and X_{L} could be changed, and the total impedance present in the circuit will also be changed after changing these values of capacitive reactance and inductive reactance. The size of the flowing current in the circuit will also be changed by these variations.

When the equation of impedance took into consideration, the equation of both X_{C }and X_{L }shows that the impedance Z_{0} =R of series resonance is minimum. At this rate, the value of current flowing in the series RLC circuit will be maximum.

The resonant frequency in the series resonance circuit is given as 1/(2*π*(LC)^{0.5}). At the reverberating rate, which means that the. The series resonance circuit contains the maximum admittance at resonance condition. In a series resonance circuit, the Q-factor is given as Ѡ_{0 }L/R.

#### Characteristics of Series Resonance

- Have the smallest impedance
- Have extreme flowing current in the circuit
- Current and voltage turn into in phase when cos(φ) = 1
- Circuit current turn into proportional to circuit resistance, i.e., I ~ 1/R

#### Applications of Series Resonance

- For Tuning purpose
- Used as Oscillator Circuit
- Used as a Voltage Amplifier
- Used in the communication system for signal processing
- Used as High-frequency filter circuit

### What is Parallel Resonance?

The resonance which is present in parallel of the circuit having an inductance (L), resistor of the resistance (R), a conductance (C), and the is known as parallel resonance. Subsequently, impedances, as they do in series circuits, do not sum up exactly in parallel circuits, so a measurement called admittance (Y) is used to designate parallel resonance circuits. The parallel resonance circuit contains the minimum admittance at resonance condition.

The admittance is present in reciprocal of the impedance in the parallel series circuit given as Y = 1/Z. The conductance G in parallel resonance is also given in reciprocal of the resistance given as G = 1/R.

The capacitive susceptance(B_{C}) is written as. The inductive susceptance (B_{L}) is usually written as. When both capacitive susceptance and inductive susceptance becomes equal B_{C }= B_{L}, then resonance occurs in parallel RLC circuits. A parallel RLC circuit contains maximum impedance at the resonant frequency but contains a minimum value of current ta resonance.

#### Characteristics of Parallel Resonance

- Have extreme impedance
- Smallest flowing current in the circuit
- Voltage and current become in a phase when cos(φ) = 1
- The current of circuit rest on circuit impedance, Z = L/C or I ~ -(1/R)

#### Applications of Parallel Resonance

- Induction heating system
- A Current Amplifier
- A filter circuit
- RF amplifiers