Series Resonance Series resonance occurs when the impedance of a circuit is equal to the resistance of each component in the circuit combined. This means th...
Series Resonance
Series resonance occurs when the impedance of a circuit is equal to the resistance of each component in the circuit combined. This means that the overall impedance is lower than the individual resistances, resulting in a net resistance that is smaller than the individual resistances.
Concept:
Imagine two resistors, R1 and R2, connected in a series circuit. The total impedance of this circuit is simply the sum of the individual resistances:
If we increase the resistance of either R1 or R2, the total impedance will increase, but it will still be greater than the individual resistances. This is because the increased resistance opposes the flow of current and reduces the overall current flow in the circuit.
Condition for Resonance:
For resonance to occur, the reactances of the individual components must be equal:
where:
is the inductive reactance
is the capacitive reactance
Consequences of Resonance:
The net resistance of the circuit is lower than the individual resistances.
The current flow is higher than the current flow in each individual resistor.
The total power dissipated in the circuit is lower than the power dissipated in the individual resistors.
The frequency at which resonance occurs depends on the values of the individual resistances.
Examples:
A parallel circuit with two resistors, R1 and R2, is resonant at a specific frequency.
A series circuit with a resistor and a capacitor is resonant at a specific frequency.
A parallel-series resonant circuit has a lower total resistance than the individual resistances