RF Exposure Analysis

FCC ID: BCGA2116

RF Exposure Info

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FCCID_4204256

                 RF EXPOSURE EVALUATION REPORT


                                          For: Apple Inc.

                                         Product: A2116

                                        FCC ID: BCGA2116


                             RF Exposure Evaluation Report Serial No.:
                                    UL/REGA1/MPE12505086B




 This RF Exposure Evaluation Report Is Issued Under The Authority
 Of Alan Binks, Head of Inspection:




 PP:

 Written By: John Bellairs                        Checked By: Andrew Hoare




 Report Copy No: PDF01                            Issue Date: 20 February 2019




This report may be reproduced in full. Partial reproduction may only be made with the written consent
of UL


UL                                             RF EXPOSURE EVALUATION REPORT
                                               No: UL/REGA1/MPE12505086B
                                               Page: 2 of 8
                                               Issue Date: 20 February 2019
For:           Apple Inc.
Product:       A2116

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UL                                                     RF EXPOSURE EVALUATION REPORT
                                                       No: UL/REGA1/MPE12505086B
                                                       Page: 3 of 8
                                                       Issue Date: 20 February 2019
For:           Apple Inc.
Product:       A2116



RF Exposure Evaluation for the A2116

The A2116 is a desktop computer which contains 2.4GHz and 5GHz WIFI and 2.4GHz Bluetooth BR/
EDR and LE transmitters.

WLAN supports 3x3 MIMO operation with beam forming, and there can be simultaneous transmission
between all of the transmitters.


The following FCC Rule Parts and procedures are applicable:
Part 1.1310 – Radiofrequency radiation exposure limits
Part 2.1091 – Radiofrequency radiation exposure evaluation: mobile devices


KDB447498 D01 v06 - Mobile and Portable Devices RF Exposure Procedures and Equipment
Authorisation Policies

KDB 662911 D01 v02 r01 – Multiple Transmitter Output


MAXIMUM TRANSMITTER POWER CONSIDERATIONS

From Tune Up tables (conducted power):
WLAN 2.4GHz:
Power (SISO) = 23.0dBm max
For non-beam forming MIMO, conducted power for each antenna:
Power (2x2MIMO) = 23.0dBm max (200mW)
Power (3x3 MIMO) = 22.0dBm max (158.5mW)
For BF MIMO:
Power (2x2MIMO) = 21.25dBm max (133.4mW)
Power (3x3MIMO) = 20.0dBm max (100.0mW)


ANTENNA GAINS:
Antenna Gain WF2: +4.32dBi (x2.7)
Antenna Gain WF3: +4.77dBi (x3.0)
Antenna Gain WF4: +3.72dBi (x2.36)


From KDB 662911 D01 v02 r01., Max. beamforming max antenna gain is calculated as:
For 2x2MIMO = +7.6dBi (x5.75)
For 3x3MIMO = +9.0dBi (x7.94)


UL                                                   RF EXPOSURE EVALUATION REPORT
                                                     No: UL/REGA1/MPE12505086B
                                                     Page: 4 of 8
                                                     Issue Date: 20 February 2019
For:          Apple Inc.
Product:      A2116

RADIATED POWER:
EIRPSISO2 = 27.32dBm = 539.5 mW
EIRPSISO3 = 27.77dBm = 598.4 mW*
EIRPSISO4 = 26.72dBm = 469.9 mW


Power for non BF 2x2 MIMO operation using WF2 + WF3 antennas:
EIRPMIMO2 = 27.57dBm + 27.77dBm = 539.5mW + 598.4mW = 1.14W
Power for BF 2x2 MIMO operation:
EIRPBF2 = 28.85dBm = 767.4mW
Power for non BF 3x3 MIMO operation:
EIRPMIMO3 = 26.32dBm + 26.77dBm + 25.72dBm = 428.5mW + 475.3mW + 373.3.5mW = 1.28W*
Power for BF 3x3 MIMO operation:
EIRPBF3 = 29dBm = 794mW


*max power to be considered in calculations


WLAN 5GHz:
Power = 22.0dBm max (For SISO + 2x2 MIMO + 3x3MIMO + BF)


ANTENNA GAINS:
Antenna Gain WF2: +4.86dBi
Antenna Gain WF3: +3.21dBi
Antenna Gain WF4: +3.09dBi


From KDB 662911 D01 v02 r01., Max. beamforming max antenna gain is calculated as:
For 2x2MIMO = +7.6dBi (x5.75)
For 3x3MIMO = +9.0dBi (x7.94)


RADIATED POWER:
EIRPSISO2 = 26.86dBm = 485.3 mW*
EIRPSISO3 = 25.21dBm = 331.9 mW
EIRPSISO4 = 25.09dBm = 322.8 mW


Power for non BF 2x2 MIMO operation using WF2 + WF3 antennas:
EIRPMIMO2 = 26.86dBm + 25.21dBm = 485.2mW + 331.9mW = 817.1mW


UL                                                        RF EXPOSURE EVALUATION REPORT
                                                          No: UL/REGA1/MPE12505086B
                                                          Page: 5 of 8
                                                          Issue Date: 20 February 2019
For:          Apple Inc.
Product:      A2116

Power for BF operation:
EIRPBF2 = 29.6dBm = 912mW
Power for non BF 3x3 MIMO operation:
EIRPMIMO3 = 26.86dBm + 25.21dBm + 25.09dBm = 485.2mW + 331.9mW + 322.8mW= 1.14W
Power for BF operation:
EIRPBF3 = 31.0dBm = 1.26W*


*max power to be considered in calculations




Bluetooth (Basic Rate, EDR & Low Energy) 2.4GHz
Power conducted = 13.0dBm
Antenna Gain: 3.29dBi
EIRP = 16.29dBm = 42.56mW



MPE CALCULATIONS
The MPE calculation used to calculate the safe operating distance for the user is.


                                           S = EIRP/4 π R2


Where         S = Power density
              EIRP = Effective Isotropic 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 (20cm requirement).




For WLAN 2.4GHz
Values:
Transmitter frequency range = 2412 MHz to 2472MHz
Max. EIRPSISO = 598.4 mW
EIRPMIMO = 1.28W
R = 20cm


UL                                                       RF EXPOSURE EVALUATION REPORT
                                                         No: UL/REGA1/MPE12505086B
                                                         Page: 6 of 8
                                                         Issue Date: 20 February 2019
For:           Apple Inc.
Product:       A2116

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 = EIRPSISO /4 π R2
               S = 598.4/(12.56 x 202)
               S = 598.4/ (5024)


                      S1 SISO = 0.12mW/ cm2 (<1.0 mW/cm2)
Similarly for MIMO:   S1 MIMO = 0.25mW/ cm2 (<1.0 mW/cm2)


This equates to minimum safe operating distance ( 3x3 MIMO operation) of 10.1 cm at the RF
exposure limit of 1.0 mW/cm2


For WLAN 5GHz
Values:
Transmitter frequency range = 5150 MHz to 5850MHz
Max. EIRPSISO = 485.3 mW
EIRPBF = 1.26W
R = 20cm


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

               Sreq2 = 1.0 mW/cm2


Calculation:
               S = EIRPSISO /4 π R2
               S = 485.3/(12.56 x 202)
               S = 485.3/(5024)


                      S2 SISO = 0.096mW/ cm2 (<1.0 mW/cm2)
Similarly for BF:     S2 BF = 0.25mW/ cm2 (<1.0 mW/cm2)


UL                                                               RF EXPOSURE EVALUATION REPORT
                                                                 No: UL/REGA1/MPE12505086B
                                                                 Page: 7 of 8
                                                                 Issue Date: 20 February 2019
For:           Apple Inc.
Product:       A2116



This equates to minimum safe operating distance (3x3 BF operation) of 10.0 cm at the RF
exposure limit of 1.0 mW/cm2


For Bluetooth 2.4 GHz
Values:
Transmitter frequency range = 2402 MHz to 2480MHz
EIRP = 42.56 mW
R = 20cm


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


               Sreq3 = 1.0 mW/cm2
Calculation:
               S = EIRP/4 π R2
               S = 42.56/(12.56 x 202)
               S = 42.56/(5024)


               S3 = 0.0085mW/ cm2 (<1.0 mW/cm2)


This equates to a minimum safe operating distance of 1.84cm at the RF exposure limit of 1.0
mW/cm2


KDB447498 D01 v05 Section 7.2 SIMULTANEOUS TRANSMISSION CONSIDERATIONS


Worst case summation of calculated MPE ratios for 2.4GHz/ 5GHz WLAN and 2.4GHz BT
simultaneously transmitting transmitters from each respective antenna is:


               ie:   ΣMPEratios = (S1 SISO/ Sreq1) + (S2 SISO/ Sreq2) + (S3 SISO/ Sreq3)

                                = (0.12/1.0) + (0.096/1.0) + (0.0085/1.0)
                                = 0.22
Σ of MPE ratios<1.0, so in accordance with KDB447498 Section 7.2, simultaneous transmission test
exclusion applies for the WLAN and Bluetooth transmitters.


UL                                                     RF EXPOSURE EVALUATION REPORT
                                                       No: UL/REGA1/MPE12505086B
                                                       Page: 8 of 8
                                                       Issue Date: 20 February 2019
For:          Apple Inc.
Product:      A2116



Conclusion
The required 20cm RF exposure limits for General Population/ Uncontrolled Exposure will not be
exceeded for the A2116 using antennas as specified.



Document Created: 2019-02-20 14:20:40
Document Modified: 2019-02-20 14:20:40

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