Suatu rangkaian RLC seri seperti gambar di bawah ini, terdiri dari: R = 400 Ω, C = 1 μF dan L = 0,7 H. Jika rangkaian RLC seri tersebut dihubungkan dengan sumber tegangan bolak-balik Vs(t) = 5 cos (1000t + (π/3)) (volt). Tentukanlah:

a).reaktansi kapasitif (XC), reaktansi induktif (XL) dan impedansi total rangkaian,

b). arus i(t) yang mengalir pada rangkaian itu,

c). tegangan V(t) pada masing-masing komponen R, L dan C (VR(t), VL(t), VC(t))

R = 400 Ω

L = 0,7 H

C = 1 μF = 10⁻⁶ F

Vs(t) = 5 cos (1000t + (π/3))

Vs(t) = Vₘ cos (ωt + θₒ)

Vₘ = 5 V

ω = 1000 rad/s

a) XC = __ ?

XC = 1/ωC

XC = 1/(1000 × 10⁻⁶)

XC = 1000 Ω ✔

XL = ω L

XL = 1000 × 0,7

XL = 700 Ω ✔

Z = __ ?

Z = √(R² + (XL - XC)²)

Z = √(400² + (700 - 1000)²)

Z = 500 Ω ✔

b)

i(t) = __ ?

iₘ = Vₘ / Z

iₘ = 5 / 500

iₘ = 0,01 A

i(t) = iₘ cos (ωt + θₒ)

i(t) = 0,01 cos (1000t + (π/3)) ✔

c)

VR(t) = __ ?

VRₘ = iₘ R

VRₘ = 0,01 × 400

VRₘ = 4 V

VR(t) = VRₘ cos (ωt + θₒ)

VR(t) = 4 cos (1000t + (π/3)) ✔

VL(t) = __ ?

VLₘ = iₘ XL

VLₘ = 0,01 × 700

VLₘ = 7 V

VL(t) = VLₘ cos (ωt + θₒ)

VL(t) = 7 cos (1000t + (π/3)) ✔

VC(t) = __ ?

VCₘ = iₘ XC

VCₘ = 0,01 × 1000

VCₘ = 10 V

VC(t) = VCₘ cos (ωt + θₒ)

VC(t) = 10 cos (1000t + (π/3)) ✔