Circuitus RLC Series (Diagramma Circuiti & Phasoris)

Quid est circuitus RLC series?

Circuitus RLC series est unus in quo resistor, inductor et capacitor sunt connecti in series per voltage supply. Circuitus resultans vocatur circuitus RLC series. Diagramma circuiti et phasoris pro circuitu RLS series demonstratum est infra.

Diagramma Phasoris Circuiti RLC Series

Diagramma phasoris circuiti RLC series describitur combinando diagrammata phasoris resistor, inductor et capacitor. Antequam hoc facere, oportet relationem inter voltage et current in casu resistor, capacitor et inductor intellegere.

1. 
   

1. Resistor
   In casu resistor, voltage et current sunt in eadem phase vel possumus dicere quod angulus differentiae inter voltage et current est zero.

2. Inductor
   In inductor, voltage et current non sunt in phase. Voltage praecedunt currentem per 90° vel alias dixisse, voltage attingit maximum et minimum 90° ante quam current attingit.

3. Capacitor
   In casu capacitor, current praecedit voltage per 90° vel alias dixisse, voltage attingit maximum et minimum 90° postquam current attingit, i.e. diagramma phasoris capacitoris est exacte oppositum inductoris.

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NOTA: Ad memoriam relationis inter voltage et current, discite hanc simplicem vocem ‘CIVIL’, i.e. in capacitor current praecedit voltage et voltage praecedit currentem in inductor.

Circuitus RLC
Ad describendum diagramma phasoris circuiti RLC series, sequentes passus observa:

Step – I. In casu circuiti RLC series; resistor, capacitor et inductor sunt connecti in series; itaque, current in omnibus elementis est idem, i.e. I r = Il = Ic = I. Ad describendum diagramma phasoris, accipe currentem phasoris ut referentiam et desinea eum in axe horizontali sicut in diagrammate ostenditur.
Step – II. In casu resistor, voltage et current sunt in eadem phase. Itaque, desinea phasoris voltage, VR in eadem directione sicut currentis phasoris, i.e. VR est in phase cum I.
Step – III. Scimus quod in inductor, voltage praecedit currentem per 90°, itaque desinea Vl (voltage drop across inductor) perpendicular ad currentis phasoris in leading direction.
Step – IV. In casu capacitor, voltage subsequitur currentem per 90°, itaque desinea Vc (voltage drop across capacitor) perpendicular ad currentis phasoris in downwards direction.
Step – V. Ad describendum diagramma resultans, desinea Vc in upwards direction. Nunc desinea resultant, Vs qui est vector sum voltage Vr et VL – VC.

Impedantia pro Circuitu RLC Series

Impedantia Z circuiti RLC series definitor est ut oppositio ad fluxum currentis, propter circuiti resistentiam R, reactantia inductiva, XL et reactantia capacitiva, XC. Si reactantia inductiva maior est quam reactantia capacitiva, i.e. XL > XC, tunc circuitus RLC habet angulum phase retardatum, et si reactantia capacitiva maior est quam reactantia inductiva, i.e. XC > XL, tunc circuitus RLC habet angulum phase anticipatum, et si utraque reactantia inductiva et capacitiva sunt eadem, i.e. XL = XC, tunc circuitus se geret ut purus circuitus resistivus.

Scimus quod,

Substituendo valores VS2 = (IR)2 + (I XL – I XC )2

Ex hoc triangulo impedantis: utendo theorema Pythagorae habemus;