Question

What is a series resonance circuit?

Answer 1

Step 1: Definition

Whenever the current inside an RLC series connection has been in process with the voltage, the circuit seems to have been in Series Resonance.

Whenever the inductive reactance is equivalent to the capacitive reactance, this same circuit seems to be in resonance. The series resonant circuit may consume large amounts of current as well as power from either the main supply.

Step 2: Mathematical representation

In a series resonant circuit,

At resonance

$$\begin{gathered} {\mathrm{X}}_{\mathrm{L}}-{\mathrm{X}}_{\mathrm{C}}=0 \\ {\mathrm{X}}_{\mathrm{L}}={\mathrm{X}}_{\mathrm{C}} \end{gathered}$$or,

The impedance is given by the equation,

${\mathrm{Z}}_{\mathrm{r}}=\sqrt{{\mathrm{R}}^2+{({\mathrm{X}}_{\mathrm{L}}-{\mathrm{X}}_{\mathrm{C}})}^2}$

By putting the value of ${\mathrm{X}}_{\mathrm{L}}-{\mathrm{X}}_{\mathrm{C}}=0$, we get

${\mathrm{Z}}_{\mathrm{r}}=\mathrm{R}$

Therefore, it is obvious that at resonance, the sole source of opposition to the passage of current seems to be resistance. This same circuit consumes the most current under these conditions.