RLC Series Circuit

 Frequency: Hz Voltage: cos(ωt + ° ) Resistance: MΩkΩΩmΩµΩnΩpΩ Coil: HmHµHnHpH Capacitor: FmFµFnFpF Round: 012345

Calculations

 ω: 314,16 rad/s Reactance coil: 157,08 j Reactance capacitor: -159,15 j Total reactance: -2,08 j Series-resonance-angular-frequency: 316,23 Hz Series-resonance-frequency: 50,33 Hz φ: -14,54° Z: 8 + -2,08 j = 8,26 ∠ -14,54° Current: 27,83 cos(ωt + 14,54°) A

 Complex power 6.400,64 VA Real power 6.195,57 W Reactive power 1.607,22 VAr

Replacement circuit:
 8 Ω 0.0015337940978902 F

Formulas hide formulas

Angular frequency

 ω = 2 π f
 ω : Angular frequency (rad/s) f : frequency (Hz)

Reactance coil

 XL = j ω L
 XL : Reactance coil (Ω) ω : Angular frequency (rad/s) L : Coil inductance (H)

Reactance capacitor

 XC = 1 j ω C
 XC : Reactance capacitor (Ω) ω : Angular frequency (rad/s) C : Capacitor capacitance (F)

Series resonance angular frequency

 ωres = 1 √(L C)
 ωres : Resonance angular frequency (rad/s) L : Coil inductance (H) C : Capacitor capacitance (F)

Power factor (φ)

 φ = atan( Xtotal ) R
 φ : Power factor Xtotal : Total reactance (Ω) R : Resistance (Ω)

Total impedance

 Z = √( Xtotal² + R² ) ∠ φ
 Z : Total impedance Xtotal : Total reactance (Ω) R : Resistance (Ω) φ : Power factor

Current

 I = U Z
 I : Current (A) U : Voltage (V) Z : Total impedance

Complex power

 S = U I
 S : Complex power (VA) U : Voltage (V) I : Current (A)

Real power

 P = U I cos(φ)
 P : Real power (W) U : Voltage (V) I : Current (A) φ : Power factor

Reactive power

 Q = U I sin(φ)
 P : Reactive power (VAr) U : Voltage (V) I : Current (A) φ : Power factor