The document contains several examples of calculating total resistance (RT), current (IT), power (PT), and energy (En) for circuits connected in series and parallel. The examples involve calculating these values for circuits with 2-5 resistors connected by applying the formulas for series and parallel circuits. The total values are calculated and broken down by the contribution of each individual resistor.

1. 1
Se conectanen serie auna líneade 110V dos resistenciasde R1:40 ohm, R2:15 ohm. ¿Cuál esla
resistenciadel circuito?Si el circuitose empleadurante 10horas ¿Cuántaenergíase consume en
cada resistencia?¿Cual eslaenergíatotal consumida?
RT=40 ῼ+15ῼ=55ῼ
IT=
110𝑉
55ῼ
= 2𝐴
P1= (2A)2
(40ῼ) = 160W
P2= (2A)2
(15ῼ) = 60W
PT= 160W+60W = 220W
En1 = (160W) (10HORAS)= 1600Wh EnT= 1600Wh +600Wh = 2200Wh
En2= (60W) (10HORAS) = 600Wh
En circuitose conectan 5 resistenciasenserie en unalíneade 110V R1: 5ῼ, R2: 10ῼ, R3: 20ῼ,
R4:5ῼ, R5:8ῼ cuál esla resistenciatotal del circuitocuantoeslaenergíatotal que se consume en
cada R si el circuitose emplea30 hrs.
RT=5ῼ+10ῼ+20ῼ+5ῼ+8ῼ= 48 ῼ
IT=
110𝑉
48ῼ
= 2.29𝐴
P1= (2.29A) 2
(5ῼ) = 26.22W
P2= (2.29A) 2
(10ῼ) = 52.44W
P3= (2.29A) 2
(20) = 104.8W
P4= (2.29A) 2
(5ῼ) = 26.22W PT= 26.22W + 52.44W + 104.8W + 26.22W + 41.95W= 251.71W
P5= (2.29A) 2
(8ῼ) = 41.95W

2. 2
CALCULAR RT ,IT , PT ,
RT= 10ῼ + 20ῼ + 5ῼ + 7ῼ= 42ῼ
IT=
110𝑉
42ῼ
= 2.61𝐴
PT= 110V ( 2.69A)= 295.9W
CALCULAR RT ,IT , PT , Y LA POTENCIA DE CADA R
RT=20ῼ+30ῼ+5ῼ= 55ῼ
IT=
110𝑉
55ῼ
= 2𝐴
P1= (2A) 2
(20ῼ) = 80W
P2= (2A) 2
(30ῼ) = 120W
P3= (2A) 2
(5ῼ) = 20W PT= 80W + 120W + 20W =220W
CALCULAR RT ,IT , PT , Y LA ENERGIA SI SE USA 5HR
RT=5 ῼ+35ῼ+80ῼ+20ῼ=140ῼ
IT=
110𝑉
140ῼ
= 0.0857𝐴
P1= (0.0857A)2
(5ῼ) = 0.036W
P2= (0.0857A)2
(35ῼ) = 0.257W
P3= (0.0857A)2
(80ῼ) = 0.587W
P4= (0.0857A)2
(20ῼ) = 0.146W En4 = (0.146W) (5HORAS)=0.73Wh
PT= 0.036W+0.257W+0.587W+0.146W = 1.028W
En1 = (0.036W) (5HORAS)= 0.18Wh EnT= 0.18Wh +1.285Wh +2.93Wh+0.73Wh= 2200Wh
En2 = (0.257W) (5HORAS)=1.285Wh
En3 = (0.587W) (5HORAS)=2.93Wh

3. 3
Calcular RT IT P1 P2 P3 PT con una intensidad de 3A
RT=
110𝑉
3𝐴
= 36.6ῼ
R1=
35𝑉
3𝐴
= 11.66ῼ
R2=
45𝑉
3𝐴
= 15ῼ
R3=
30𝑉
3𝐴
= 10ῼ
P1= (3A)2
(11.66ῼ) = 104.94W
P2= (3A)2
(15ῼ) = 135W PT= 104.94W+135W+90W= 329.94W
P3= (3A)2
(10ῼ) = 90W
Calcular RT IT P1 P2 P3 PT con una intensidad de 8A
RT=
110𝑉
8𝐴
= 13.75ῼ
R1=
55𝑉
8𝐴
= 6.875ῼ
R2=
55𝑉
8𝐴
= 6.875ῼ
P1= (8A)2
(6.875ῼ) = 440W
P2= (8A)2
(6.875ῼ) = 440W
PT= 440W+440W=880W
CalcularRT IT y voltaje de cada una de lasresistencias
RT=60 ῼ+30ῼ=90ῼ
IT=
4.5𝑉
90ῼ
= 0.05𝐴
V1=0.05 A (60ῼ)=3V
V2= 0.05 A (30ῼ)= 1.5V

4. 4
CALCULAR RT IT PT Y EN EN CADA RESISTENCIA SISE USA POR16.5 HR
RT=50 ῼ+25ῼ+85ῼ=160 ῼ
IT=
110𝑉
160ῼ
= 0.6875𝐴
PT= 110 V( 0.6875 A )= 75.625W
P1= (0.6875A)2
(50ῼ) = 23.63W
P2= (0.6875A)2
(25ῼ) = 11.81W
P3= (0.6875A)2
(85ῼ) = 40.17W
En1 = (23.63W) (16.5HORAS)= 389.89Wh
En2 = (11.81W) (16.5HORAS)= 194.865Wh
En3 = (0.6875W) (16.5HORAS)=662.805Wh
CalcularRT IT y voltaje de cada una de lasresistencias
RT=30 ῼ+10ῼ+6ῼ=46 ῼ
IT=
12𝑉
46ῼ
= 0.260𝐴
V1=0.260 A (30ῼ)=7.82V
V2= 0.260 A (10ῼ)= 2.60V
V3= 0.260 A (6ῼ)= 1.56 V

5. 5
CIRCUITOS PARALELOS
R23= 4.6ῼ + 5.2 ῼ= 9.8 ῼ
RT=
( 𝟒.𝟒)(𝟗.𝟖)
𝟒.𝟒+𝟗.𝟖
= 𝟑. 𝟎𝟑 ῼ
I1=
𝟏𝟏𝟎𝑽
𝟒.𝟒ῼ
= 𝟐𝟓 𝑨
I1=
𝟏𝟏𝟎𝑽
𝟗.𝟖ῼ
= 𝟏𝟏. 𝟐𝟐 𝑨
IT= 25 A +11.22 A = 36.22 A
Se conecta enparalelo una líneade 110 v tres resistencias¿Cuál es resistenciatotal? Si el
circuito se empleo10 hrs ¿Cuál esla potenciatotal? ¿Cuál esEN ???
RT=
𝟏
𝟏
𝟗
+
𝟏
𝟏𝟒
+
𝟏
𝟐𝟗
RT= 4.59ῼ
I1 =
110𝑉
9ῼ
= 12.22𝐴 I2 =
110𝑉
14ῼ
= 7.85𝐴 I3 =
110𝑉
29ῼ
= 3.79𝐴
IT =
110𝑉
4.59ῼ
= 23.96𝐴
P1= (110V) (12.22A) = 1344.5W PT= 110 V( 23.69A )= 2605.9W
P2= (110V) (7.85A) = 863.5W
P3= (110V) (3.79A) = 416.9W
En1 = (1344.5W) (10HORAS)= 13445Wh EnT= 13445Wh +8635Wh +4169Wh= 26249Wh
En2 = (863.5W) (10HORAS)= 8635Wh
En3 = (416.9W) (10HORAS)= 4169Wh

6. 6
Si se conecta en paralelo un alinea de 220 v 4 resistencias sacar RT ,
PT , ENT si el circuito se emplea 3 hrs.
RT=
𝟏
𝟏
𝟏𝟓
+
𝟏
𝟐𝟎
+
𝟏
𝟏𝟎
+
𝟏
𝟓𝟎
= 2.20 ῼ IT =
220𝑉
2.20ῼ
= 100𝐴
PT= 220 V( 100A )= 22000W EnT = 22000W( 3HRS)=66000Wh
Sacar el voltaje de cada resistencia, RT, IT, Y PT
RT=
𝟏
𝟏
𝟏.𝟔
+
𝟏
𝟐
+
𝟏
𝟑
= 0.6875 ῼ I1 =
16𝑉
1.6ῼ
= 10𝐴 I2 =
16𝑉
2ῼ
= 8𝐴
I3 =
16𝑉
3ῼ
= 5.3𝐴
IT =
16𝑉
0.6875ῼ
= 23.27𝐴
P1= (16V) (10A) = 160W PT= 16 V( 23.27A )= 372.32W
P2= (16V) (8A) = 128W
P3= (16V) (5.3A) = 84.8W

7. 7
RT=
𝟏
𝟏
𝟏𝟎
+
𝟏
𝟑𝟎
= 7.5 ῼ
IT =
12𝑉
7.5ῼ
= 1.6𝐴
I1 =
12𝑉
10ῼ
= 1.2𝐴
I2 =
12𝑉
30ῼ
= 0.4𝐴
P1= (12V) (1.2A) = 14.4W PT= 12 V( 1.6A )= 19.2W
P2= (12V) (0.4A) = 4.8W
En1 = (14.4W) (3HORAS)= 43.2Wh EnT= 19.2W(3HRS)= 57.6Wh
En2 = (4.8W) (3HORAS)=14.4Wh
RT=
𝟏
𝟏
𝟑𝟎
+
𝟏
𝟏𝟎𝟎
+
𝟏
𝟏𝟑𝟎
= 19.59 ῼ
IT =
220𝑉
19.59ῼ
= 11.23𝐴
PT= 220 V( 11.23A )= 2470.6W
EnT= 2470.6W(8HRS)= 19764.8Wh

8. 8
RT=
𝟏
𝟏
𝟏𝟎
+
𝟏
𝟏𝟎𝟎
+
𝟏
𝟑𝟎
= 6.97 ῼ IT =
8𝑉
6.97ῼ
= 1.147𝐴 I1 =
8𝑉
10ῼ
= 0.8𝐴
I2 =
8𝑉
100ῼ
= 0.08𝐴 I3 =
8𝑉
30ῼ
= 0.26𝐴 P1= (8V) (0.8A) = 6.4W
P2= (8V) (0.08A) = 0.64W PT= 8 V( 1.147A )= 9.17W
P3= (8V) (0.26A) = 2.08W
RT=
𝟏
𝟏
𝟓𝟎
+
𝟏
𝟒𝟎
= 22.2 ῼ
IT =
220𝑉
22.2ῼ
= 9.90𝐴
I1 =
220𝑉
50ῼ
= 4.4𝐴
I2 =
220𝑉
40ῼ
= 5.5𝐴 P1= (220V) (4.4A) = 968W
P2= (220V) (5.5A) = 1210W PT= 220 V( 9.90A )= 2178W
En1 = (968W) (5HORAS)= 4840Wh EnT= 2178W(5HRS)= 10890Wh
En2 = (1210W) (5HORAS)=6050Wh

9. 9
I1 =
75𝑊
110𝑉
= 0.68 𝐴 I2 =
60𝑊
110𝑉
= 0.54𝐴 I3 =
45𝑊
110𝑉
= 0.409𝐴
IT= 0.68 A + 0.54 A + 0.409 A = 1.629 A
R1=
𝟏𝟏𝟎𝑽
𝟎.𝟔𝟖𝑨
= 𝟏𝟔𝟏. 𝟕𝟔 ῼ R2=
𝟏𝟏𝟎𝑽
𝟎.𝟓𝟒𝑨
= 𝟐𝟎𝟑. 𝟕 ῼ R3=
𝟏𝟏𝟎𝑽
𝟎.𝟒𝟎𝟗𝑨
= 𝟐𝟔𝟖. 𝟗𝟒 ῼ RT=
𝟏𝟏𝟎𝑽
𝟏.𝟔𝟐𝟗𝑨
= 𝟔𝟕. 𝟓𝟐 ῼ
I1 =
100𝑊
110𝑉
= 0.90 𝐴 I2 =
75𝑊
110𝑉
= 0.681𝐴
IT= 0.90 A + 0.681 A = 1.58 A
R1=
𝟏𝟏𝟎𝑽
𝟎.𝟗𝟎𝑨
= 𝟏𝟐𝟐. 𝟐 ῼ R2=
𝟏𝟏𝟎𝑽
𝟎.𝟔𝟖𝟏𝑨
= 𝟏𝟔𝟏. 𝟓𝟐 ῼ RT=
𝟏𝟏𝟎𝑽
𝟏.𝟓𝟖𝑨
= 𝟔𝟗. 𝟔𝟐 ῼ

10. 10
CIRCUITOS SERIE-PARALELO
R23=
1
1
15
+
1
10
= 6 ῼ
RT= 20ῼ+6ῼ= 26ῼ
I1 =IT= 4.23 A
I2 =
25.98 𝑉
15ῼ
= 1.73𝐴 I3 =
25.98
10ῼ
= 2.59𝐴
E1=4.23 A (20ῼ ) = 84.6V E23=4.23 A ( 6ῼ ) = 25.38V
ET= 84.6 V + 25.38 V = 109.9 V
R234=
1
1
30
+
1
10
+
1
20
5.45 ῼ
RT= 5.45ῼ+15ῼ=20.45ῼ
I1 =IT= 5.86 A
I2 =
31.93 𝑉
10ῼ
= 3.193𝐴
I3 =
31.93𝑉
30ῼ
= 1.064𝐴 I4 =
31.93𝑉
20ῼ
= 1.59𝐴 IT =
120𝑉
20.45ῼ
= 5.86𝐴
E1=5.86 A (15ῼ ) = 87.9V E234= 5.86A ( 5.45ῼ ) = 31.93V
ET= 119.83 V

11. 11
R12=
(6)(4)
6+4
= 2.4ῼ
RT= 20ῼ +2.4ῼ = 22.4 ῼ
I1 =
11.784𝑉
6ῼ
= 1.964 𝐴
I2 =
11.784𝑉
4ῼ
= 2.946 𝐴 I3 =
98.2𝑉
20ῼ
= 4.91 𝐴 IT =
110𝑉
22.4ῼ
= 4.91 𝐴
E12=4.91 A (2.4ῼ ) = 11.784V E3=4.91A (20ῼ ) = 98.2V
R123=
1
1
2.4
+
1
3
+
1
10
0.85 ῼ
RT= 0.85ῼ + 15 ῼ = 15.85ῼ
I1 =
11.79𝑉
2.4ῼ
= 4.91 𝐴
I2 =
11.79𝑉
3ῼ
= 3.93 𝐴
I3 =
11.79𝑉
10ῼ
= 1.17 𝐴 I4 =
208.2𝑉
15ῼ
= 13.88 𝐴
IT =
220𝑉
22.4ῼ
= 13.88 𝐴 E123=13.88A (0.85ῼ ) = 11.79V
E4= 15 ῼ ( 13.88 A ) = 208.2 V

12. 12
R234=
1
1
6
+
1
9
+
1
12
2.76 ῼ
RT= 2.76ῼ + 3 ῼ = 5.76 ῼ
I1 =
229.14𝑉
3ῼ
= 76.38 𝐴
I2 =
210.8𝑉
6ῼ
= 35.1 𝐴
I3 =
210.8𝑉
9ῼ
= 23.42 𝐴 I4 =
210.8𝑉
12ῼ
= 17.56 𝐴
IT =
440𝑉
5.76ῼ
= 76.38 𝐴 E234=76.38A (2.76ῼ ) = 210.80V
E1= 3 ῼ ( 76.38 A ) = 229.14 V
R34=
(10)(5)
10+15
2 ῼ
RT= 30ῼ + 20ῼ + 2ῼ = 52ῼ
I1=I2=IT= 8.46 A
I3 =
16.92𝑉
10ῼ
= 1.692 𝐴
I4 =
16.92𝑉
5ῼ
= 3.384 𝐴 E34=8.46A (2ῼ ) = 16.92V IT =
440𝑉
52ῼ
= 8.46 𝐴
E1= 30 ῼ ( 8.46 A ) = 253.8 V E2= 20 ῼ ( 8.46 A ) = 169.2 V

13. 13
R34=
(20)(5)
20+5
= 4 ῼ
RT= 4ῼ+ 10ῼ +15ῼ= 29ῼ
I1=I2=IT= 0.4137 A
I2 =
1.6548𝑉
20ῼ
= 0.0827 𝐴
I3 =
1.6548𝑉
5ῼ
= 0.33096 𝐴
IT =
12𝑉
29ῼ
= 0.4137 𝐴 E1= 10 ῼ ( 0.4137 A ) = 4.13 V
E2= 15 ῼ ( 0.4137 A ) = 6.20 V E34=0.4137A (4ῼ ) = 1.6548V
R345=
1
1
30
+
1
40
+
1
50
= 12.76 ῼ
RT= 10ῼ+ 20ῼ +12.76ῼ=
42.76ῼ
I1=I2=IT= 15.43 A
I3 =
196.8𝑉
30ῼ
= 6.56 𝐴
I4 =
196.84𝑉
40ῼ
= 4.42 𝐴
I5 =
196.84𝑉
50ῼ
= 3.93 𝐴 E1= 10 ῼ ( 15.4 A) = 154.3 V IT =
220𝑉
277.63ῼ
= 0.79𝐴
E2= 20 ῼ ( 15.43 A ) = 308.6 V E345=15.43A (12.76ῼ ) = 196.8V

14. 14
R34=
1
1
15
+
1
35
= 10.5 ῼ
RT= 10ῼ+ 20ῼ +10.5ῼ+
5ῼ = 42.5ῼ
I1=I2=I5=IT= 2.41 A
I3 =
25.3𝑉
15ῼ
= 1.68 𝐴
I4 =
25.3𝑉
35ῼ
= 0.722 𝐴 E1= 10 ῼ ( 15.43 A ) = 154.3 V
IT =
110𝑉
45.5ῼ
= 2.41𝐴
E2= 20 ῼ ( 15.43 A ) = 308.6 V E345=15.43A (12.76ῼ ) = 196.8V
R456=
1
1
70
+
1
60
+
1
10
= 7.63 ῼ
RT= 100ῼ+ 90ῼ +80ῼ +
7.63ῼ= 277.63 ῼ
IT =
220𝑉
277.63ῼ
= 0.7924 𝐴
I1=I2=I3=IT= 0.7924 A
I4 =
6.04𝑉
70ῼ
= 0.0862 𝐴
I5 =
6.04𝑉
60ῼ
= 0.100 𝐴 I6 =
6.04𝑉
10ῼ
= 0.604 𝐴
E1= 100ῼ ( 0.7924 A ) = 79.24 V
E2= 90 ῼ ( 0.7924 A ) = 71.31 V E3=0.7924A (80ῼ ) = 63.39V
E456=0.7924A (7.63ῼ ) = 6.04V

15. 15
CIRCUITO PARALELO-SERIE
R23= 30ῼ +15ῼ = 45ῼ
RT=
(10)(45)
10+45
= 8.18ῼ
IT =
110𝑉
8.18ῼ
= 13.44 𝐴
I1 =
110𝑉
10ῼ
= 11 𝐴
I23 =
110𝑉
45ῼ
= 2.4 𝐴 E1= 10ῼ ( 11 A ) = 110 V
E2= 30 ῼ ( 2.4 A ) = 72 V E3= 2.4A (15ῼ ) = 36V
P1= (13.44A)2
(10ῼ) =1806.33W P23= (13.44A)2
(45ῼ)=8128.512W
PT= 1806.33W+8128.512W=9434.84W
R12=3ῼ +5ῼ=8ῼ
RT=
(8)(10)
8+10
= 4.44 ῼ
IT =
220𝑉
4.44ῼ
= 49.54 𝐴
I12=
220𝑉
8ῼ
= 27.5 A
I3=
220𝑉
10ῼ
= 22 A E1= 3ῼ ( 27.5 A ) = 82.5 V E2= 5ῼ( 27.5 A ) = 137.5 V
E3= 22A (10ῼ ) = 220V
P12= (49.54A)2
(8ῼ) =19633.6W PT=44175.71W
P3= (49.54A)2
(10ῼ) =24542.11W

16. 16
R12=10ῼ +11ῼ=21ῼ
R34=50ῼ +80ῼ=130ῼ
RT=
(21)(130)
21+130
= 18.07ῼ
IT =
220𝑉
18.07ῼ
= 12.17 𝐴
I12=
220𝑉
21ῼ
= 10.47 A I34=
220𝑉
130ῼ
= 1.69 A
P12= (10.47A)2
(21ῼ) = 2302.03W E1= 10ῼ ( 10.47 A ) = 104.7 V
P34= (10.47A)2
(130ῼ) =14250.71W E2= 11ῼ ( 10.47 A ) = 115.17 V
E3= 50ῼ ( 1.69 A ) = 84.54 V E4= 80ῼ ( 1.69 A ) = 135.2 V
PT= 2302.03W+14250.71W= 16552.747 W
R12= 3.2ῼ +5.2ῼ=8.4ῼ
R34=4.2ῼ +9.2ῼ=13.4ῼ
RT=
(8.4)(13.4)
8.4+13.4
= 5.16ῼ
IT =
24𝑉
5.16ῼ
= 4.65 𝐴
I12=
24𝑉
8.4ῼ
= 2.85 A I34=
24𝑉
13.4ῼ
= 1.79 A
P12= (2.85A)2
(8.4ῼ) = 68.22W E1= 3.2ῼ ( 2.85 A ) = 9.12 V
P34= (1.79A)2
(13.4ῼ) =42.93W E2= 5.2ῼ ( 2.85 A ) = 14.82 V
E3= 4.2ῼ ( 1.79 A ) = 7.51 V E4= 9.2ῼ ( 1.79 A ) = 16.468 V
PT= 68.22W+42.93W= 111.15 W

17. 17
R234=4ῼ +5ῼ+ 8ῼ=17ῼ
RT=
(5)(17)
5+17
= 3.86ῼ
IT =
12𝑉
3.86ῼ
= 3.10 𝐴
I1=
12𝑉
5ῼ
= 2.4 A
I234=
12𝑉
73ῼ
= 0.70 A E1= 5ῼ ( 2.4 A ) = 12 V
E2= 4ῼ ( 0.70 A ) = 2.8 V E3= 5ῼ ( 0.70 A ) = 3.5 V
E4= 8ῼ ( 0.70 A ) = 5.6 V P1= (2.4A)2
(5ῼ) =28.8W
P234= (0.70A)2
(17ῼ) =8.33W
R123= 10ῼ +12ῼ+14ῼ=36ῼ
RT=
(36)(20)
36+20
= 12.8ῼ
IT =
220𝑉
12.8ῼ
= 17.18 𝐴
I123 =
220𝑉
36ῼ
= 6.1 𝐴
I4 =
220𝑉
20ῼ
= 11 𝐴 A E1= 10ῼ ( 6.1 A ) = 61 V
E2= 12ῼ (6.1A ) = 73.2 V E3= 14ῼ ( 6.1 A ) = 85.4 V
E4= 20ῼ ( 11 A ) = 220V P123= (6.1A)2
(36ῼ) =1339.56W
P4= (11A)2
(20ῼ) =2420W PT= 1339.56W+2420W=3759.56W

18. 18
R12= 3ῼ
+5ῼ=8ῼ
R34= 6ῼ
+4ῼ=10ῼ
R56= 10ῼ +8ῼ=18ῼ R78= 2ῼ +8ῼ=10ῼ RT=
1
1
8
+
1
10
+
1
18
+
1
10
= 2.62 ῼ
IT =
110𝑉
2.62ῼ
= 41.98 𝐴 I12 =
110𝑉
8ῼ
= 13.7 𝐴 I34 =
110𝑉
10ῼ
= 11 𝐴
I56 =
110𝑉
18ῼ
= 6.1 𝐴 I78 =
110𝑉
10ῼ
= 11 𝐴 P12= (13.7A)2
(8ῼ)=1501.5W
P34= (11A)2
(10ῼ) =1210W P56= (6.1A)2
(18ῼ)=669.78W
P78= (11A)2
(10ῼ) =1210W PT= 4591.28W
R123= 10ῼ +20ῼ+
30ῼ=60ῼ
RT=
(60)(60)
60+60
= 30ῼ
IT =
24𝑉
30ῼ
= 0.8 𝐴
I123 =
24𝑉
60ῼ
= 0.4 𝐴
I4 =
24𝑉
60ῼ
= 0.4 𝐴 A E1= 10ῼ ( 0.4 A ) = 4V
E2= 20ῼ (0.4A ) = 8 V E3= 30ῼ ( 0.4 A ) = 12 V
E4= 60ῼ ( 0.4 A ) = 24V P123= (0.4A)2
(60ῼ) =9.6W
P4= (0.4A)2
(60ῼ) =2420W PT= 9.6W+9.6W=19.2W

19. 19
R12=60ῼ +80ῼ=140ῼ
RT=
(140)(80)
140+80
= 50.90 ῼ
IT =
100𝑉
50.90ῼ
= 1.96 𝐴
I12=
100𝑉
140ῼ
= 0.71 A
I3=
100𝑉
80ῼ
= 1.25 A P12= (0.71A)2
(140ῼ) =70.57W P3= (1.25A)2
(80ῼ) =125W
PT=70.57W+125W=195.57W
R12= 10ῼ +100ῼ=110ῼ
R345= 20ῼ +40ῼ+60ῼ=120ῼ
RT=
(120)(110)
120+110
= 57.39 ῼ
IT =
660𝑉
57.39ῼ
= 11.50 𝐴
I345 =
660𝑉
120ῼ
= 5.5 𝐴 I12 =
660𝑉
110ῼ
= 6 𝐴 A
E1= 10ῼ ( 6 A ) = 60V
E2= 100ῼ (6A ) = 600 V E3= 20ῼ ( 5.5 A ) = 110 V
E4= 40ῼ ( 5.5 A ) = 220V E= 60ῼ ( 5.5 A ) = 330V
P12= (6A)2
(110ῼ) =3960W
P345= (5.5A)2
(120ῼ)=3630W PT= 7590W