<content> <p>Table Data</p> </content>

8e8ac800-3f2c-4e2f-b78c-a513e5103437 208 4 5 false false 0 decimal

&[DATE] &[TIME] - &[FILENAME]

Vectorize Question: How to get 2D Matrix Output?

Inputs:

Load.PWR 102030405060708090100110125121 mat W * :

Load power setting assuming 100V (nominal Watts at end of speaker cable)

Cable.Length 0.1 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 2.75 121 mat km * :

Cable Length with all load at the far end (ie worst-case)

SPL.Reduction 1 dB * :

Sound pressure level (SPL) reduction

dB 1 :

All load at the far end of the cable

Constants:

ρ 0.0171 mΩ * mm * :

Resistivity of copper (temperature dependent)

Vectorized Formulas for Calculated Values:

Required cable size (mm2) as a function of LoadPWR, CableLength, & SPLReduction Cable.CSA ρ Load.PWR * Cable.Length transpose * A 2^* s 6^* 5000 kg 2^* m 4^* 1 - 10 SPL.Reduction 20 /^+ (* / :

Resulting Cable Length for Given Load Power (W), Cable Length (m), & SPL Reduction (dB):

Cable size required for the given LoadPWR, CableLength, & SPLReduction Cable.CSA mm 2^0.03 0.07 0.14 0.21 0.28 0.35 0.42 0.49 0.56 0.63 0.7 0.77 0.06 0.14 0.28 0.42 0.56 0.7 0.84 0.98 1.12 1.26 1.4 1.54 0.08 0.21 0.42 0.63 0.84 1.05 1.26 1.47 1.68 1.89 2.1 2.31 0.11 0.28 0.56 0.84 1.12 1.4 1.68 1.96 2.24 2.52 2.8 3.08 0.14 0.35 0.7 1.05 1.4 1.75 2.1 2.45 2.8 3.15 3.5 3.85 0.17 0.42 0.84 1.26 1.68 2.1 2.52 2.94 3.36 3.78 4.2 4.62 0.2 0.49 0.98 1.47 1.96 2.45 2.94 3.43 3.92 4.41 4.9 5.4 0.22 0.56 1.12 1.68 2.24 2.8 3.36 3.92 4.48 5.05 5.61 6.17 0.25 0.63 1.26 1.89 2.52 3.15 3.78 4.41 5.05 5.68 6.31 6.94 0.28 0.7 1.4 2.1 2.8 3.5 4.2 4.9 5.61 6.31 7.01 7.71 0.31 0.77 1.54 2.31 3.08 3.85 4.62 5.4 6.17 6.94 7.71 8.48 0.35 0.88 1.75 2.63 3.5 4.38 5.26 6.13 7.01 7.88 8.76 9.63 1212 mat

END.

20220414 Vectorize Question.sm

<content> <p>Table Data</p> </content>

Piecewise calculation with for() loop algorithm i 1 Load.PWR length range j 1 Cable.Length length range Cable.CSA i j el ρ Cable.Length j el * Load.PWR i el * A 2^* s 6^* 5000 kg 2^* m 4^* 1 - 10 SPL.Reduction 20 /^+ (* / : for for

Table.Header Cable.Length transpose km / S:'km 21 mat :

Table.Left Load.PWR W / S:'W 12 mat :

Table.Body Cable.CSA mm 2^/ :

Table.footer S:'mm^2 11 mat :

Table.footer Table.Body Table.Left Cable.CSA ρ SPL.Reduction Cable.Length Load.PWR Table.footer Table.Body Table.Header Cable.CSA ρ SPL.Reduction Cable.Length Load.PWR ρ SPL.Reduction Cable.Length Load.PWR

Table.Body
0.03	0.07	0.14	0.21	0.28	0.35	0.42	0.49	0.56	0.63	0.7	0.77
0.06	0.14	0.28	0.42	0.56	0.7	0.84	0.98	1.12	1.26	1.4	1.54
0.08	0.21	0.42	0.63	0.84	1.05	1.26	1.47	1.68	1.89	2.1	2.31
0.11	0.28	0.56	0.84	1.12	1.4	1.68	1.96	2.24	2.52	2.8	3.08
0.14	0.35	0.7	1.05	1.4	1.75	2.1	2.45	2.8	3.15	3.5	3.85
0.17	0.42	0.84	1.26	1.68	2.1	2.52	2.94	3.36	3.78	4.2	4.62
0.2	0.49	0.98	1.47	1.96	2.45	2.94	3.43	3.92	4.41	4.9	5.4
0.22	0.56	1.12	1.68	2.24	2.8	3.36	3.92	4.48	5.05	5.61	6.17
0.25	0.63	1.26	1.89	2.52	3.15	3.78	4.41	5.05	5.68	6.31	6.94
0.28	0.7	1.4	2.1	2.8	3.5	4.2	4.9	5.61	6.31	7.01	7.71
0.31	0.77	1.54	2.31	3.08	3.85	4.62	5.4	6.17	6.94	7.71	8.48
0.35	0.88	1.75	2.63	3.5	4.38	5.26	6.13	7.01	7.88	8.76	9.63
#
mat(0.1,0.25,0.5,0.75,1,1.25,1.5,1.75,2,2.25,2.5,2.75,1,12)
S:'km
mat(10,20,30,40,50,60,70,80,90,100,110,125,12,1)	S:'W
#
S:'mm^2