RF Exposure Analysis

FCC ID: 2ABCB-RPI3BP

RF Exposure Info

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FCCID_3777907

Raspberry Pi Trading
30 Station Road
Cambridge
CB1 2JH
UK
Raspberry Pi
Web
Trading Ltd http://raspberrypi.org

MPE Calculation - FCC ID:2ABCB-RPI3BP

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 3 Model B+ 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:

S = EIRP/4 π R2
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

Registered Company Number: 8207441

P = 11.6dBm
G = 3.5dBi (x 2.24)
EIRP = 15.1dBm (32mW)
R = 20cm

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

Sreq1 = 1.0 mW/cm2

Calculation:

S = EIRP/4 π R2
= 32/(12.56 x 202)
= 32/(5024)

S1 = 0.0064

(Equivalent to 1.6cm safe operating distance)

Calculation for 2.4GHz WLAN

Values:
Transmitter frequency range = 2412 – 2462MHz
P = 14.7dBm
G = 3.5dBi
EIRP = 18.2dBm = 66.1mW

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

Sreq2 = 1.0 mW/cm2

Calculation:

S = EIRP/4 π R2
= 66.1/(12.56 x 202)
= 66.1/(5024)

S2 = 0.013

(Equivalent to 2.3cm safe operating distance)

Calculation for 5.0GHz WLAN

Values:
Transmitter frequency range = 5170 - 5825MHz
P = 14.0dBm
G = 2.3dBi
EIRP = 16.3dBm = 42.7mW

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

Sreq3 = 1.0 mW/cm2

Calculation:

S = EIRP/4 π R2
= 42.7/(12.56 x 202)
= 42.7/(5024)

S3 = 0.0084

(Equivalent to 1.84cm safe operating distance)

Conclusion
The required 20cm RF exposure limits for General Population/ Uncontrolled Exposure FCC Rule Part
1.1310 limits will not be exceeded for the Raspberry Pi 3 Model B+ using an antenna having a
maximum gain of 3.5dBi (2.4GHz) and 2.3dBi (5GHz).

Document Created: 2018-03-07 16:19:13
Document Modified: 2018-03-07 16:19:13

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