RF Exposure Info

FCC ID: BCGA1991

RF Exposure Info

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FCCID_4492791

RF EXPOSURE EVALUATION REPORT For: Apple Inc. Product: A1991 FCC ID: BCGA1991 RF Exposure Evaluation Report Serial No.: UL/REGA1/MPE12718494B 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: 10 October 2019 This report may be reproduced in full. Partial reproduction may only be made with the written consent of UL UL VS Ltd Unit 1-3, Horizon, Wade Road, Kingsland Business Park, Basingstoke, Hampshire, RG24 8AH, UK T: +44 (0)1256 312000 W: www.ul.com

UL RF EXPOSURE EVALUATION REPORT No: UL/REGA1/MPE12718494B Page: 2 of 9 Issue Date: 10 October 2019 For: Apple Inc. Product: A1991 This page has been left intentionally blank.

UL RF EXPOSURE EVALUATION REPORT No: UL/REGA1/MPE12718494B Page: 3 of 9 Issue Date: 10 October 2019 For: Apple Inc. Product: A1991 RF Exposure Evaluation for the A1991 The A1991 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) = 23.0dBm max (200mW) For BF MIMO: Power (2x2MIMO) = 23.0dBm max (200mW) Power (3x3MIMO) = 21.0dBm max (125.9mW) ANTENNA GAINS: Antenna Gain Ant0: +4.56dBi (x2.9) Antenna Gain Ant1: +4.32dBi (x2.7) Antenna Gain Ant2: +4.47dBi (x2.8) From KDB 662911 D01 v02 r01., Max. beamforming max antenna gain is calculated as (see Appendix): For 2Tx BF = +7.53dBi (x5.66) (Ant0 & Ant2) For 3Tx BF = +9.22dBi (x8.36)

UL RF EXPOSURE EVALUATION REPORT No: UL/REGA1/MPE12718494B Page: 4 of 9 Issue Date: 10 October 2019 For: Apple Inc. Product: A1991 RADIATED POWER: EIRPSISO0 = 27.56dBm = 570.2 mW EIRPSISO1 = 27.32dBm = 539.5 mW EIRPSISO2 = 27.47dBm = 558.5 mW Powermax for non BF 2x2 MIMO operation: EIRPMIMO2 = 27.56dBm + 27.47dBm = 570.2mW + 558.5mW = 1.13W Power for 2Tx BF operation (23dBm + Ant0 & Ant2 antenna gain): EIRPBF2 = 23dBm + 7.53dBi = 30.53dBm = 1.13W Power for non BF 3x3 MIMO operation: EIRPMIMO3 = 27.56dBm + 27.32dBm + 27.47dBm = 570.2mW + 539.5mW + 558.5mW = 1.67W* Power for 3Tx BF operation (21dBm + ant gain): EIRPBF3 = 21dBm + 9.22dBi = 30.22dBm = 1.05W *max power to be considered in calculations WLAN 5GHz: Power = 22.0dBm max (For SISO + 2x2 MIMO + 3x3MIMO + 2 X TxBF) Power = 20.0dBm max (For 3 X TxBF) ANTENNA GAINS: Antenna Gain Ant0: +6.06dBi Antenna Gain Ant1: +5.71dBi Antenna Gain Ant2: +4.93dBi From KDB 662911 D01 v02 r01., Max. beamforming antenna gain is calculated as (see Appendix): For 2TX BF = +8.9dBi (x7.76) (Ant0 & Ant1) For 3Tx BF = +10.35dBi (x10.84) RADIATED POWER: EIRPSISO1 = 28.06dBm = 639.7 mW

UL RF EXPOSURE EVALUATION REPORT No: UL/REGA1/MPE12718494B Page: 5 of 9 Issue Date: 10 October 2019 For: Apple Inc. Product: A1991 EIRPSISO2 = 27.71dBm = 590.2 mW EIRPSISO3 = 26.93dBm = 493.2 mW Power for non BF 2x2 MIMO operation: EIRPMIMO2 = 28.06dBm + 27.71dBm = 639.7mW + 590.2mW = 1.23W Power for 2TX BF operation (22dBm + WF2 & WF3 antenna gain): EIRPBF2 = 22dBm +8.9dBi = 30.9dBm = 1.23W Power for non BF 3x3 MIMO operation: EIRPMIMO3 = 28.06dBm + 27.71dBm + 26.93dBm = 639.7mW + 590.2mW + 493.2mW= 1.72W* Power for 3TX BF operation (20dBm + ant gain): EIRPBF3 = 20dBm + 10.35dBi = 30.35dBm = 1.08W *max power to be considered in calculations Bluetooth (Basic Rate, EDR & Low Energy) 2.4GHz Power conducted = 13.0dBm Antenna Gain Ant 3: 4.5dBi EIRP = 17.5dBm = 56.2mW 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).

UL RF EXPOSURE EVALUATION REPORT No: UL/REGA1/MPE12718494B Page: 6 of 9 Issue Date: 10 October 2019 For: Apple Inc. Product: A1991 For WLAN 2.4GHz Values: Transmitter frequency range = 2412 MHz to 2472MHz Max. EIRPSISO = 570.2 mW EIRPMIMO = 1.67W 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 = EIRPSISO /4 π R2 S = 570.2/(12.56 x 202) S = 570.2/ (5024) S1 SISO = 0.11mW/ cm2 (<1.0 mW/cm 2) Similarly for MIMO: S1 MIMO = 0.33mW/ cm2 (<1.0 mW/cm 2) This equates to minimum safe operating distance ( 3x3 MIMO operation) of 11.5 cm at the RF exposure limit of 1.0 mW/cm2 For WLAN 5GHz Values: Transmitter frequency range = 5150 MHz to 5850MHz Max. EIRPSISO = 639.7mW EIRPMIMO = 1.72W 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

UL RF EXPOSURE EVALUATION REPORT No: UL/REGA1/MPE12718494B Page: 7 of 9 Issue Date: 10 October 2019 For: Apple Inc. Product: A1991 Calculation: S = EIRPSISO /4 π R2 S = 639.7/(12.56 x 202) S = 639.7/(5024) S2 SISO = 0.13mW/ cm2 (<1.0 mW/cm 2) Similarly for BF: S2 MIMO = 0.34mW/ cm2 (<1.0 mW/cm 2) This equates to minimum safe operating distance (3TX BF operation) of 11.7 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 = 56.23 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 = 56.23/(12.56 x 202) S = 56.23/(5024) S3 = 0.011mW/ cm2 (<1.0 mW/cm 2) This equates to a minimum safe operating distance of 2.1cm at the RF exposure limit of 1.0 mW/cm2

UL RF EXPOSURE EVALUATION REPORT No: UL/REGA1/MPE12718494B Page: 8 of 9 Issue Date: 10 October 2019 For: Apple Inc. Product: A1991 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) = (0.33/1.0) + (0.34/1.0) + (0.011/1.0) = 0.68 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. Conclusion The required 20cm RF exposure limits for General Population/ Uncontrolled Exposure will not be exceeded for the A1991 using antennas as specified.

UL RF EXPOSURE EVALUATION REPORT No: UL/REGA1/MPE12718494B Page: 9 of 9 Issue Date: 10 October 2019 For: Apple Inc. Product: A1991 Appendix Antenna gain calculation for BF operation: From KDB 662911 D01 v02 r01: For 2TX BF - Directional Gain = 𝑁𝐴𝑁𝑇 2 𝑁𝑆𝑆 𝑔𝑗,𝑘 3 2 𝑗=1 𝑘=1 1 𝑘=1 𝑔𝑗,𝑘 𝑗=1 10 log = 10 log 𝑁𝐴𝑁𝑇 2 For 3TX BF - Directional Gain = 𝑁𝐴𝑁𝑇 2 2 3 𝑁𝑆𝑆 𝑘=1 𝑔𝑗,𝑘 1 𝑘=1 𝑔𝑗,𝑘 𝑗=1 𝑗=1 10 log = 10 log 𝑁𝐴𝑁𝑇 3 Example - 2.4GHz 3TX BF: Antenna Gain Ant0: +4.56dBi (x2.9) Antenna Gain Ant1: +4.32dBi (x2.7) Antenna Gain Ant2: +4.47dBi (x2.8) Directional Gain = 𝐺1 𝐺2 𝐺3 2 2 1020 + 1020 + 10 20 𝑔1,1 + 𝑔1,2 + 𝑔1,3 10 log = 10 log 3 3 4.56 4.32 4.47 2 10 20 + 10 20 + 10 20 = 10 log = 𝟗. 𝟐𝟐 𝐝𝐁𝐢 3


Document Created: 2019-10-10 09:40:10
Document Modified: 2019-10-10 09:40:10
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