SA105C103KAATB Datasheet, PDF (11/72 Pages) AVX Corporation – Multilayer CeramicLeaded Capacitors

The Capacitor
BASIC CAPACITOR FORMULAS
I. Capacitance (farads)
English: C = ^{.224 K A}
T_D
Metric: C = ^{.0884 K A}
T_D
II. Energy stored in capacitors (Joules, watt - sec)
E
=
⁄1
2
CV²
III. Linear charge of a capacitor (Amperes)
I = C ^dV
dt
IV. Total Impedance of a capacitor (ohms)
ͱ Z = R²_S + (XC - XL )²
V. Capacitive Reactance (ohms)
xc
=
1
2 π fC
VI. Inductive Reactance (ohms)
x_L = 2 π fL
VII. Phase Angles:
Ideal Capacitors: Current leads voltage 90°
Ideal Inductors: Current lags voltage 90°
Ideal Resistors: Current in phase with voltage
VIII. Dissipation Factor (%)
D.F.= tan ␦ (loss angle) =
E.S.R.
Xc
=
(2
πfC)
(E.S.R.)
IX. Power Factor (%)
f ^{P.F. = Sine ␦ (loss angle) = Cos (phase angle)}
P.F. = (when less than 10%) = DF
X. Quality Factor (dimensionless)
Q
=
Cotan
␦
(loss
angle)
=
1
D.F.
XI. Equivalent Series Resistance (ohms)
E.S.R. = (D.F.) (Xc) = (D.F.) / (2 π fC)
XII. Power Loss (watts)
Power Loss = (2 π fCV²) (D.F.)
XIII. KVA (Kilowatts)
KVA = 2 π fCV² x 10 ^-3
XIV. Temperature Characteristic (ppm/°C)
T.C. = ^{Ct – C25} x 10⁶
C25 (T_t – 25)
XV. Cap Drift (%)
C.D. = ^{C1 – C2}
C₁
x 100
XVI. Reliability of Ceramic Capacitors
( ) ( ) ^{L0 = Vt X}
L_t
V_o
T_t Y
T_o
XVII. Capacitors in Series (current the same)
Any Number: 1 ₌ 1 ₊ 1 _--- 1
CT C1 C2
CN
Two: CT =
C1 C2
C1 + C2
XVIII. Capacitors in Parallel (voltage the same)
CT = C1 + C2 --- + CN
XIX. Aging Rate
D ^{A.R. = % C/decade of time}
XX. Decibels
db = 20 log ^V1
V2
METRIC PREFIXES SYMBOLS
Pico
Nano
Micro
Milli
Deci
Deca
Kilo
Mega
Giga
Tera
X 10^-12
X 10^-9
X 10^-6
X 10^-3
X 10^-1
X 10⁺¹
X 10⁺³
X 10⁺⁶
X 10⁺⁹
X 10⁺¹²
K = Dielectric Constant
A = Area
T_D = Dielectric thickness
V = Voltage
t = time
Rs = Series Resistance
f
= frequency
L_t = Test life
L
= Inductance
V_t = Test voltage
␦
= Loss angle
V_o = Operating voltage
f
= Phase angle
T_t = Test temperature
X & Y = exponent effect of voltage and temp. T_o = Operating temperature
L_o
= Operating life
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