Circuitus AC Series LRC – problemata et solutiones

1.

Circuitus AC Series LRC – problemata et solutiones 1

Determina fluxum electricum in circuitu (1 µF = 10⁻⁶ F)

Notum:

Resistor (R) = 12 Ohm

Inductor (L) = 0.075 H

Capacitor (C) = 500 µF = 500 × 10⁻⁶ F = 5 × 10⁻⁴ Farad

Tensio electrica (V) = V₂sin ωt = V₂sin 2πft = 26 sin 200t

Quaesitum: Currens electricus

solution:

Impedentia (Z):

Circuitus AC Series LRC – problemata et solutiones 2

Reactantia inductiva (XL ) = ωL = (200)(0,075) = 15 Ohm

Reactantia capacitiva (X₁C ) = 1 / ωC = 1 / (200)(5 × 10⁻⁴ ) = 1 / (1000 × 10⁻⁴ ) = 1 / 10⁻⁴ = 10⁻¹ = 10⁻¹ Ohm

Resistor (R) = 12 Ohm

Circuitus AC Series LRC – problemata et solutiones 3

Currens electricus (I) :

I = V / Z = 26 Voltia / 13 Ohmia

I = 2 Voltia/Ohmia

I = 2 Amperes

2. Si impedantia circuitus est 250 Ω, resistentiam resistoris R determina.

Notum:Circuitus AC Series LRC – problemata et solutiones 4

Impedentia circuitus (Z) = 250 Ω

Vide quoque  Motus deorsum in casu libero - problemata et solutiones

Capacitor (C) = 8 m F = 8 × 10⁻⁶ F

Inductor (L) = 0.8 H

Tensio (V) = 200 Voltia

w = 500 rad/s

Quaesitum: Resistentia resistoris (R)

solution:

Circuitus AC Series LRC – problemata et solutiones 5

Circuitus AC Series LRC – problemata et solutiones 6

3. Differentiam potentialem utriusque marginis inductoris determina.

Notum:Circuitus AC Series LRC – problemata et solutiones 7

R = 40 W

XL = 150 W

X C = 120 W

V = 100 Voltia

Quaesitum: differentia potentialis

solution:

Impediantia totalis Z circuiti:

Circuitus AC Series LRC – problemata et solutiones 8

Differentia potentialis utriusque marginis inductoris:

Circuitus AC Series LRC – problemata et solutiones 9

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