Electric Circuit Analysis: Unit V: Resonance and coupled circuits

Multiple Resonance

Resonance circuits

Circuits which exhibit more than one resonant frequency are called multiple resonant circuits.

MULTIPLE RESONANCE

Circuits which exhibit more than one resonant frequency are called multiple resonant circuits.

L1 C1 series resonant at f1. Inductive at f2.

F2 > f1

L1 C1 in parallel with C2 is parallel resonant at ƒ2.

ω1 = 2π f1; ω2 = 2π f2; 0 = 2π f

Where ƒ is any frequency.


At ω2, Reactance of L1 C1 arm = Reactance of C2 arm

Here, pole is greater than zero.

ω1 < ω1 : ω2 : z is capacitive

ω1 < ω < ω2 : z is inductive

ω1 < ω2 < ω : z is capacitive

Example: Zero at 1296 KHz

Pole at 1476 KHz


Capacitive at all other frequencies

Reactance of: 936 KHz 1296 KHz 1350 KHz


L1 || C1 is capacitive for ω > ω1

L0 in series with L1 || C1 is series resonant at ω2 ω2 : Zero ω2 > ω1


 

Domain of ω :

Z: ω < ω2 inductive

ω1 < ω < ω2 capacitive

ω1 < ω2 < ω inductive

Practical Problem:

ZAB = Z Ohms

f = Working frequency in KHz

L1, L2 : μH ; C1: pF

L1 || C1 : Parallel resonant at 2 f

L2 in series with L1 || C1 series resonant at 3 f.

ZAB = Z at f (inductive)


 

Electric Circuit Analysis: Unit V: Resonance and coupled circuits : Tag: : Resonance circuits - Multiple Resonance


Electric Circuit Analysis: Unit V: Resonance and coupled circuits



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Electric Circuit Analysis

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