MPE Calculation

FCC ID: 2ABCB-RPI4B

RF Exposure Info

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FCCID_4325665

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                   MPE Calculation — FCC ID :2ABCB—RPI4B

The FCC requires that the calculated MPE be equal to or less than a given limit dependent
on frequency at a distance of 20 cm from a device to the body of a user.
The transmitter operation for the Raspberry Pi 4 covers the 2.4GHz and 5GHz operating
bands.
Simultaneous transmission is not supported between any of the transmitters
The following FCC Rule Parts are applicable:
Part 1.1310 —— Radiofrequency radiation exposure limits
Part 2.1091(c) — Radiofrequency radiation exposure evaluation: mobile devices




CALCULATION
The following far field power density equation is applicable:


                                       $ = EIRPMA m R@
Where          S = Power density
               EIRP = Effective Isotropically Radiated Power (EIRP =P x G)
               P = Conducted Transmitter Power
               G = Antenna Gain (relative to an isotropic radiator)
               R = distance to the centre of radiation of the antenna (safe operating
                      distance)




Calculation for 2.4GHz BT (BDR/ EDR worst case):


Values:
Transmitter frequency range =2402 — 2480MHz
P = 4.8dBm
G = 3.5dBi (x 2.24)
EIRP = 8.3dBm (6.76mW)
R =20cm


Power Density Requirement
               From table 1 (b) — Limits for General Population/ Uncontrolled Exposure of
               FCC Rule Part 1.13140 for 2.4GHz

               Sreqt = 1.0 mWicm?


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Calculation:


               5 = EIRPM TR
                 =6.76/(12.56 x 20°)
                  = 6.76/(5024)

               $, = 0.0013


(Equivalent to 0.73cm safe operating distance)




Calculation for 2.4GHz WLAN


Values:
Transmitter frequency range =2412 — 2462MHz
P = 13.4dBm
G = 3.5dBi
EIRP = 16.9dBm = 49.0mW




Power Density Requirement
               From table 1 (b) — Limits for General Population/ Uncontrolled Exposure of
               FCC Rule Part 1.1310 for 1900MHz for 2.4GHz

               Sreqa = 1.0 mWicm*


Caloulation:


               S = EIRPM 1 R®
                 =49/(12.56 x 20°)
                 =49/(5024)

               S = 0.0097
(Equivalent to 2.0cm safe operating distance)


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Calculation for 5.0GHz WLAN


Values:
Transmitter frequency range =5170 — 5825MHz
P = 14.5dBm
G = 2.30Bi
EIRP = 16.8dBm = 47.9mW




Power Density Requirement
               From table 1 (b) — Limits for General Population/ Uncontrolled Exposure of
               FCC Rule Part 1.1310 for 1900MHz for 5GHz


               Sreqs = 1.0 mW/icm*


Calculation:


               8 = EIRPM tm R
                 = 47.9/(12.56 x 202)
                 =47.9/(5024)

               S; = 0.0095

(Equivalent to 1.95c0m safe operating distance)




Conclusion
The required 200m RF exposure limits for General Population/ Uncontrolled Exposure FCC
Rule Part 1.1310 limits will not be exceeded for the Raspberry Pi 4 using antennas having a
maximum gain of 3.5dBi (2.4GHz) and 2.3dBi (5GHz).




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Document Created: 2019-06-17 17:25:18
Document Modified: 2019-06-17 17:25:18

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