CS5203 -1
Applications Information: continued
T
J
= T
A
+ P
D
´
R
QJA
(1)
3. Thermal Resistance of the Heat Sink to the ambient air,
R
QSA
(¡C/W)
These are connected by the equation:
R
QJA
= R
QJC
+ R
QCS
+ R
QSA
(3)
The maximum ambient temperature and the power dissi-
pation are determined by the design while the maximum
junction temperature and the thermal resistance depend
on the manufacturer and the package type.
The maximum power dissipation for a regulator is:
The value for R
QJA
is calculated using equation (3) and the
result can be substituted in equation (1).
P
D(max)
={V
IN(max)
ÐV
OUT(min)
}I
OUT(max)
+V
IN(max)
I
Q
where
V
IN(max)
is the maximum input voltage,
V
OUT(min)
is the minimum output voltage,
I
OUT(max)
is the maximum output current, for the application
I
Q
is the maximum quiescent current at I
OUT
(max).
A heat sink effectively increases the surface area of the
package to improve the flow of heat away from the IC and
into the surrounding air.
Each material in the heat flow path between the IC and the
outside environment has a thermal resistance. Like series
electrical resistances, these resistances are summed to
determine R
QJA
, the total thermal resistance between the
junction and the surrounding air.
1. Thermal Resistance of the junction to case, R
QJC
(¡C/W)
2. Thermal Resistance of the case to Heat Sink, R
QCS
(¡C/W)
(2)
The value for R
QJC
is 3.5û C/W as a single figure for a given
package type based on an average die size. For a high
current regulator such as the CS5203-1 the majority of the
heat is generated in the power transistor section. The
value for R
QSA
depends on the heat sink type, while R
QCS
depends on factors such as package type, heat sink inter-
face (is an insulator and thermal grease used?), and the
contact area between the heat sink and the package. Once
these calculations are complete, the maximum permissible
value of R
QJA
can be calculated and the proper heat sink
selected. For further discussion on heat sink selection, see
application note ÒThermal Management for Linear
Regulators.Ó
7
CHERRY [ CHERRY SEMICONDUCTOR CORPORATION ]
