MPE Calculations

FCC ID: C3K1525

RF Exposure Info

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FCCID_1994301

REPORT NO: 13U14860-1B                                                          DATE: JUNE 13, 2013
FCC ID: C3K1525                                                                    IC: 3048A-1525


12.    MAXIMUM PERMISSIBLE RF EXPOSURE


   12.1.      FCC RULES
§1.1310 The criteria listed in Table 1 shall be used to evaluate the environmental impact of
human exposure to radio-frequency (RF) radiation as specified in §1.1307(b), except in the case
of portable devices which shall be evaluated according to the provisions of §2.1093 of this
chapter.




   12.2.      IC RULES
IC Safety Code 6, Section 2.2.1 (a) A person other than an RF and microwave exposed worker
shall not be exposed to electromagnetic radiation in a frequency band listed in Column 1 of
Table 5, if the field strength exceeds the value given in Column 2 or 3 of Table 5, when
averaged spatially and over time, or if the power density exceeds the value given in Column 4 of
Table 5, when averaged spatially and over time.




                                        Page 173 of 185
UL CCS                                                                      FORM NO: CCSUP4701H
47173 BENICIA STREET, FREMONT, CA 94538, USA          TEL: (510) 771-1000      FAX: (510) 661-0888
   This report shall not be reproduced except in full, without the written approval of UL CCS.


REPORT NO: 13U14860-1B                                                          DATE: JUNE 13, 2013
FCC ID: C3K1525                                                                    IC: 3048A-1525




                                        Page 174 of 185
UL CCS                                                                      FORM NO: CCSUP4701H
47173 BENICIA STREET, FREMONT, CA 94538, USA          TEL: (510) 771-1000      FAX: (510) 661-0888
   This report shall not be reproduced except in full, without the written approval of UL CCS.


REPORT NO: 13U14860-1B                                                          DATE: JUNE 13, 2013
FCC ID: C3K1525                                                                    IC: 3048A-1525

   12.3.       EQUATIONS

POWER DENSITY

Power density is given by:

S = EIRP / (4 * Pi * D^2)

Where

S = Power density in mW/cm^2
EIRP = Equivalent Isotropic Radiated Power in mW
D = Separation distance in cm

Power density in units of mW/cm^2 is converted to units of W/m^2 by multiplying by 10.


DISTANCE

Distance is given by:

D = SQRT (EIRP / (4 * Pi * S))

Where

D = Separation distance in cm
EIRP = Equivalent Isotropic Radiated Power in mW
S = Power density in mW/cm^2


SOURCE-BASED DUTY CYCLE

Where applicable (for example, multi-slot cell phone applications) a duty cycle factor may be
applied.

Source-based time-averaged EIRP = (DC / 100) * EIRP

Where

DC = Duty Cycle in %, as applicable
EIRP = Equivalent Isotropic Radiated Power in W




                                        Page 175 of 185
UL CCS                                                                      FORM NO: CCSUP4701H
47173 BENICIA STREET, FREMONT, CA 94538, USA          TEL: (510) 771-1000      FAX: (510) 661-0888
   This report shall not be reproduced except in full, without the written approval of UL CCS.


REPORT NO: 13U14860-1B                                                            DATE: JUNE 13, 2013
FCC ID: C3K1525                                                                      IC: 3048A-1525

MIMO AND COLOCATED TRANSMITTERS (IDENTICAL LIMIT FOR ALL TRANSMITTERS)

For multiple chain devices, and colocated transmitters operating simultaneously in frequency
bands where the limit is identical, the total power density is calculated using the total EIRP
obtained by summing the EIRP (in linear units) of each transmitter.

Total EIRP = (EIRP1) + (EIRP2) + ... + (EIRPn)

where

EIRPx = Source-based time-averaged EIRP of chain x or transmitter x

The total EIRP is then used to calculate the Power Density or the Distance as applicable.


MIMO AND COLOCATED TRANSMITTERS

For multiple colocated transmitters operating simultaneously in frequency bands where different
limits apply:

The Power Density at the specified separation distance is calculated for each transmitter chain
or transmitter.

The fraction of the exposure limit is calculated for each chain or transmitter as
(Power Density of chain or transmitter) / (Limit applicable to that chain or transmitter).

The fractions are summed.

Compliance is established if the sum of the fractions is less than or equal to one.




                                          Page 176 of 185
UL CCS                                                                        FORM NO: CCSUP4701H
47173 BENICIA STREET, FREMONT, CA 94538, USA            TEL: (510) 771-1000      FAX: (510) 661-0888
   This report shall not be reproduced except in full, without the written approval of UL CCS.


REPORT NO: 13U14860-1B                                                          DATE: JUNE 13, 2013
FCC ID: C3K1525                                                                    IC: 3048A-1525

   12.4.       LIMITS AND IC EXEMPTION

VARIABLE LIMITS

For mobile radio equipment operating in the cellular phone band, the lowest power density limit
is calculated using the lowest frequency:

824 MHz / 1500 = 0.55 mW/cm^2 (FCC)
824 MHz / 150 = 5.5 W/m^2 (IC).


FIXED LIMITS

For operation in the PCS band, the 2.4 GHz band and the 5 GHz bands:

From FCC §1.1310 Table 1 (B), the maximum value of S = 1.0 mW/cm^2
From IC Safety Code 6, Section 2.2 Table 5 Column 4, S = 10 W/m^2


INDUSTRY CANADA EXEMPTION

RSS-102 Clause 2.5.2 RF exposure evaluation is required if the separation distance between
the user and the device’s radiating element is greater than 20 cm, except when the device
operates as follows:

   •below 1.5 GHz and the maximum e.i.r.p. of the device is equal to or less than 2.5 W;

   •at or above 1.5 GHz and the maximum e.i.r.p. of the device is equal to or less than 5 W.




                                        Page 177 of 185
UL CCS                                                                      FORM NO: CCSUP4701H
47173 BENICIA STREET, FREMONT, CA 94538, USA          TEL: (510) 771-1000      FAX: (510) 661-0888
   This report shall not be reproduced except in full, without the written approval of UL CCS.


REPORT NO: 13U14860-1B                                                              DATE: JUNE 13, 2013
FCC ID: C3K1525                                                                        IC: 3048A-1525

   12.5.      RF EXPOSURE RESULTS
In the table(s) below, Power and Gain are entered in units of dBm and dBi respectively and
conversions to linear forms are used for the calculations.


Calculation for the Accessory Radio

Single Chain and non-colocated transmitters
  Band      Mode     Separatio Output Antenna Duty EIRP FCC Power        IC
                          n
                     Distance Power         Gain Cycle        Density  Power
                                                                       Density
                        (cm)      (dBm)     (dBi)  (%) (mW) (mW/cm^2) (W/m^2)
 2.4 GHz    WLAN         20       11.50      2.20 100.0 23.4   0.005    0.05
  5 GHz     WLAN         20       11.50     3.14    100.0   29.1      0.006           0.06



Worst Case calculation of both Radios

Multiple chain or colocated transmitters
 Band          Mode       Chain Separatio Output Antenna Duty            EIRP FCC Power    IC
                            for        n
                                  Distance Power  Gain   Cycle                  Density  Power
                                                                                         Density
                          MIMO       (cm)  (dBm)  (dBi)   (%)            (mW) (mW/cm^2) (W/m^2)
             Accessory
 5 GHz                        1             11.50  3.14  100.0               29.1
               WLAN
              Network
2.4 GHz                       2             17.50  3.38  100.0           122.5
               WLAN
              Network
2.4 GHz                       3             17.50  4.61  100.0           162.6
               WLAN
           Combined                    20                                331.2         0.066       0.66




Note: antenna gains in the tables above are worst-case gains for individual chains


The device operates above 1.5 GHz with a maximum EIRP less than or equal to 5 Watts as a
mobile device with a minimum separation distance of 20 cm, therefore it is exempt from routine
RF Exposure Evaluation under RSS-102.




                                          Page 178 of 185
UL CCS                                                                       FORM NO: CCSUP4701H
47173 BENICIA STREET, FREMONT, CA 94538, USA           TEL: (510) 771-1000      FAX: (510) 661-0888
   This report shall not be reproduced except in full, without the written approval of UL CCS.



Document Created: 2019-09-08 01:34:41
Document Modified: 2019-09-08 01:34:41

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