Page 167 - Electrician - TT (Volume 1)

ELECTRICIAN - CITS

= √( IR) + (IXC) 2
2
V = √R + XC 2
2
V/I = √R + XC 2
2
V/I = Z
Power = V I Cosф

Cos ф = R/Z

RLC Series circuit
Let us consider a resistance R ohm , inductance L henry and capacitance C in farad are connected in series with
supply(Vs)

Let,
VR=I.R=voltage drop across R(in phase with I)
VL=IXL=voltage drop across L (leading I BY 90)
VC=I.XC=voltage drop across capacitor (lagging behind I by 90)

XL , Inductive reactance(XL=2∏fL or ῳL)
XC ,Capacitive reactance(XC=1/2∏fC or 1/ῳC)
Vector diagram shows relation between voltage and current in pure resistive, inductance and capacitance

154
CITS : Power - Electrician & Wireman - Lesson 26-29