Question

write a matrix equation that determines the loop currents.

Write a matrix equation that determines the loop currents. 36V 40 16V For each matrix, let row 1 correspond to loop 1, row 2 correspond to loop 2, and so on. Also, enter positive values for positive voltages and negative values for negative 412 voltages. 30 ( 12301 Ilv = r W 52 50 350 ł w

Answer 1

let take given (ky 36 42 Lv in 25v IL → sslove the above one by applying tre pecduor to apply KYL:- take an. - a the kid caution cropple + Can be fromed applying k Ohms Law & moning around the loop & e ouerle calion zo hon sign will write on cauition femy. above Excuple. Ses Current is opp to - R2; -), Rz-V+)2R, O so we can stue). Cred diehom.chen Cuand many right con CIk wise - see so by using abowe czople let's apply KVL in above problem (6) CK7 (fig-1) A

- with the sign write apply xvL at loop-1 the sign write & other Currit witht's which is share with -(3+3+5) + 5)2 +374 +3650 with he sig write au niers for which is flow through Them - loop-| 110,-512 +0032 34 = 36 -0 Kve at loop- -11 +33; +0-327512 - 04(4+3+5) = 0 3,5 +0.92 +503-12), = 11 — KL at loop - 22 +35 +59; -33 (1+7+5) +7 13 +0.94 = 0. -51; +1312 - 733 = +35 — → KVL at loop: 3 0.); +70- 33 (7+5+4) +594) +25 = 0 0; -73 +100g - 514 = 25 -0 0 By using above cailion 0 for rectored fome matrix. em

Til -5 0-3 17 13 0 5 -12 2 Is 13 -7 olliz +35 16 -3 16 -5 14 25 - Notei- fill the caution in any row (it allowed)

» so as you metione are for (he voltage) - the voltage ve voltage (accrodhing to (36v, 3SV 2sv) (liv). so me while. abowe meetsin as savied: (sime talke -he sign Comen) I Toros o -37 - o -5 +12/ 1-5 13 -7.0 ou w 3c. 16- 51. 25 LO -7 16- 089) - Bandas. - producos to slone i iz is in (at needed).

Calcute above is, 92 iz ju value Can be BY Sloving above Caubicon con use Caram's rule to find . let slove above caution by Carm's sale. Where s= Determinte 1 of i J=1A) KB 113] <le ne place first colom by B. 136 -5 0-3 111 O 5-12 = 1-35 13 -7 0 -7 16 -5 111 -5 0 -3 |3 o 5 -12 Is 13 -7 ol To - 7 16 - 5 į 25 y
like i1 find i2 by same producer but replace coloum 2 with B insighted of colum 1 and soon