Technical Note

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Film Resistors
Technical Note
Vishay Thin Film Engineering Test Report
PTN - THETA J MEASUREMENTS
1. Background
Managing thermal energy in passive devices is a challenge in today circuit assemblies. The demand to reduce the size of
electronic assemblies, coupled with the need to increase power levels, has resulted in the need to clearly understand the
thermal characteristics of devices. A typical way of quantifying the thermal characteristics of devices is by examining the
temperature difference between the highest temperature region of the component and the surrounding areas such as the case
or termination and the board or substrate on which it is mounted for testing. Knowing these temperature values, we can
calculate the thermal resistance properties which are expressed as Theta J values in °C/W.
The typical formulas for these Theta J calculations are as follows:
Theta JC = (TJ - TC)/P
Theta JB = (TJ - TB)/P
Theta JA = (TJ - TA)/P
Where:
Theta JC = Junction to Case (Termination) Thermal Resistance
Theta JB = Junction to Board Thermal Resistance
Theta JA = Junction to Ambient Thermal Resistance
and:
TJ = Junction temperature or in this case the highest temperature region of the film area on the device under test
TC = Case temperature or in this case temperature of the termination on the device under test
TB = Board temperature or in this case, the temperature of the test cards used for the thermal analysis
TA = Ambient temperature of the test lab where the analysis was performed
P = Power applied to the device under test
2. Experimental Methods
Thermal imaging for this testing was conducted on a range of samples by mounting one device per 2.25" x 4" test card. The
test cards were constructed with a 2.5 mil copper metallization on both surfaces. Thermal vias on 120 mil centers provided heat
transfer between surfaces of the test card. This test card design, shown in figure 1 below, essentially creates and infinite
heatsink for the purpose of this testing. The list of samples tested is shown in table 1 below.
TABLE 1 - SAMPLE DETAILS
CASE SIZE
RESISTANCE VALUE
CRITICAL
HIGH
0603
10 
25.2 k
80 k
1206
10 
40.2 k
90.9 k
2512
10 
40.2 k
65.5 k
Thermal measurements were taken on the device under test using a FLIR SC645 camera equipped with a 50 μm close-up IR
lens in the arrangement shown in figure 2 . In order to obtain a range of Theta J values, the devices under test were powered at
1x, 2x, and 3x their rated power. At the time the initial power was applied and during the change in applied power between
levels, a video capture of the device under test was made for duration of 3 minutes.
During the data analysis, temperature values were obtained one minute into the recording which was determined to be the time
for the device to reach a steady state temperature. The location of the temperature readings is shown in figure 1.
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Fig. 1
TECHNICAL NOTE
Fig. 2
Using these temperature readings, and the ambient temperature of the test lab, the Theta J values were calculated using the
formulas defined in the background section above.
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3. Results and Discussion
Table 2 below, is a summary of Theta J test results. As the data shows, there is good agreement between resistance values,
within each case size chip. This data is also represented graphically in figures 3 through 11 of Appendix A.
TABLE 2 - THETA J VALUE SUMMARY TEST RESULTS SUMMARY
CASE SIZE
DEVICE
WEIGHT
(g)
RESISTANCE
VALUE
()
RATED
POWER
(mW)
10
0603
0.003
25 200
150
80 000
10
1206
0.009
40 200
400
90 900
10
2512
0.033
40 200
65 500
1000
APPLIED
POWER
(mW)
150
300
450
150
300
450
150
300
450
400
800
1200
400
800
1200
400
800
1200
1000
2000
3000
1000
2000
3000
1000
2000
3000
TJ MAX.
(°C)
THETA JC
(°C/W)
THETA JB
(°C/W)
THETA JA
(°C/W)
32.03
40.07
48.58
31.88
39.47
47.87
32.13
42.65
46.25
40.44
58.72
78.03
39.46
54.83
70.79
38.35
53.54
67.01
50.93
77.48
104.69
65.98
112.98
164.07
51.82
82.70
114.96
32.00
34.70
35.25
31.50
31.98
30.38
23.64
27.14
26.82
21.08
21.89
22.55
18.76
20.17
20.63
15.27
15.94
16.36
15.52
15.63
15.98
16.06
16.81
17.16
11.70
15.49
16.06
48.41
49.04
49.28
51.36
49.35
46.24
40.52
45.42
42.59
30.84
31.78
32.52
30.47
31.16
32.08
27.11
27.82
28.32
19.97
19.96
20.14
19.70
20.18
20.84
16.27
20.66
21.14
55.14
54.66
54.50
61.10
57.07
53.09
49.43
53.32
48.50
35.88
37.46
37.70
38.40
37.86
38.16
34.82
34.53
34.61
25.41
24.43
24.50
24.39
24.17
24.94
23.74
25.68
25.88
4. Conclusion
TECHNICAL NOTE
The results of this testing provide designers with critical thermal resistance information necessary to the design on high density
circuit assemblies. The Theta J values we observed are somewhat better than those reported by other manufacturers based on
comparable test conditions.
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Appendix A
TECHNICAL NOTE
Fig. 3
Fig. 4
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Fig. 5
Fig. 6
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TECHNICAL NOTE
Fig. 7
Fig. 8
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TECHNICAL NOTE
Fig. 9
Fig. 10
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TECHNICAL NOTE
Fig. 11
Revision: 25-Sep-12
Document Number: 60122
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For technical questions, contact: [email protected]
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