Page 168 - Electrician - TT (Volume 1)

ELECTRICIAN - CITS

Vector Diagram Shows Relation Between Supply Voltage And Current In RLC Series Circuit

Relation between resistance, reactance and impedance

VS = (VL - VC) 2+VR 2
2
= (I.XL - I.XC) + (I.R) 2
2
= I (XL - XC) +I .R 2
2
2
2
= I (XL - XC) +R 2
2
2
VS=I.Z (where z is the total resistance of the circuit or impedance)
I .Z =I (XL-XC) +R 2
2
2
2
2
Z = (XL-XC) +R 2
2
2
Relation between impedance (Z), Resistance and reactance(X)
1 2
impedance Z R 2
L
c
R X X c X X c
l
l

cos sinφ tanφ
Z Z R
Z = R + (X - X )
2
2
2
L C

155
CITS : Power - Electrician & Wireman - Lesson 26-29