Useful Capacitor Formulas  

Capacitance (Farads)
English : C = ( 0.224 K A) / TD
Metric : C = ( 0.0884 K A) / TD

Energy Stored in Capacitor
E = ½ CV²

Linear charge of a capacitor
I = C (dV/dt)

Total Impedance of a Capacitor (Ohms)
Z = v [ RS² + (XC – XL)² ]

Capacitive Reactance (Ohms)
XC = 1/(2pfC)

Phase Angle Ø
Ideal Capacitors: Current leads voltage 90º
Ideal Inductors: Current lags voltage 90º
Ideal Resistors: Current is in phase with voltage

Dissipation Factor (%)
D.F. = tan d (loss angle)
= ESR / XC
= (2pfC)(ESR)

Quality Factor
Q = cotan d = 1/ DF

Equivalent Series Resistance ESR (Ohms)
ESR = (DF) XC = DF/ 2fC

Power Loss
Power Loss = (2fCV²) (DF)

Power Factor
PF = sin d (loss angle) – cos Ø (Phase angle)

Root Mean Square
rms = 0.707 X Vp

KVA (Kilowatts)
KVA = 2pfCV² X 10­³

Temperature Coefficient of Capacitance
T.C. = [ (Ct –C25) / C25 (Tt – 25) ] X 10^6

Capacitance Drift (%)
CD = [ (C1 – C2) / C1 ] X 100

Ceramic Capacitor Reliability
L0 / Lt = (Vt / V0)X (Tt /T0)^Y

Capacitors in Series
Any Number
1/CT = 1/C1 + 1/C2 + …. + 1/Cn
Two Capacitors
CT = C1 C2 / (C1 + C2)

Capacitors in Parallel
CT = C1 + C2 + …. + Cn

Againg Rate
A.R. = % C / decade of time

Metric Prefixes

Prefix
Numeric Values
Pico
10^ -12
Nano
10^ -9
Micro
10^ -6
Milli
10^ -3
Deci
10^ -1
Deca
10^1
Kilo
10^3
Mega
10^6
Giga
10^9
Tera
10^12

SYMBOLS

K = Dielectric Constant L0 = Operating Life
A= Area Lt = Test Life
TD =Dielectric thickness Vt = Test voltage
V = Voltage V0 = Operating voltage
t = Time Tt = Test Temperature
RS = Series Resistance T0 = Operating Temperature
f = Frequency X , Y = Exponent effect of voltage and temperature
L = Inductance Ø = Phase angle
d = Loss angle  

 

 

 

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