1. 10 Ω
2.75 Ω
3.75 R2 R1 R3
6 Ω
6 Ω
80 V
2.5 Ω 2 R6
3 Ω R5
4.5 R7
2 Ω R4
3 Ω R8
4 Ω
5 Ω R9
R10 9
1.5
RT = =
10 Ω

2. 10 Ω
10 Ω
2.75 Ω
3.75 R2 R1 R3
6 Ω
6 Ω
80 V
2.5 Ω 2 R6
3 Ω R5
4.5 R7
2 Ω R4
3 Ω R8
4 Ω
5 Ω R9
R10 9
VT = IT RT
80 = I (10)
1.5
IT = 8 amps
This is the current for each single resistor and each group

3. V= I R V = 8 (3.75) V = 30 V R1 R2 R3 R4 R5 R6 R7 R8 R9 R10 V1= I1=
10 Ω R1 R2 R3 R4 R5 R6 R7 R8 R9
R10
V1=
I1=
V2=
I2=
V3=
I3=
V4=
I4=
V5=
I5=
V6=
I6=
V7=
I7=
V8=
I8=
V9=
I9=
V10=
I10=
22 V
8 amps
3.75 R2
30 V R3
3 amp
6 Ω
30 V
5 amp
16 V
8 amps
V= I R
V = 8 (3.75)
V = 30 V
So both resistors get 30 V

4. V = 12 V V = 8(1.5) V= I R V= I R 12 = I(9) I= 1⅓ amps V= I R
So all groups get 12 V
V = 12 V
6 Ω R1 R2 R3 R4 R5 R6 R7 R8 R9
R10
V1=
I1=
V2=
I2=
V3=
I3=
V4=
I4=
V5=
I5=
V6=
I6=
V7=
I7=
V8=
I8=
V9=
I9=
V10=
I10=
22 V
8 amps
2.5 Ω 2
V = 8(1.5) R6
30 V
3 amp
3 Ω R5
V= I R
5 amp
4.5
30 V R7
3 Ω
16 V
8 amps R8
V= I R
4 Ω
6⅔ V
2⅔ amps
5 Ω
12 = I(9) R9
R10
/ amps 8 9
5⅓ V 9
I= 1⅓ amps 7
5⅓ V
1 / amps
1.5
So both resistors get 1⅓ amps 9
12 V
4 amps
V= I R
1⅓ amps
12 = I(4.5)
5⅓ V
I= 2⅔ amps
6⅔ V
1⅓ amps
So R5 (and the R6/R7 group) gets 2⅔ amps.
So both resistors get 5⅓ V
V= I R
V = 2⅔(2)
V= 5⅓ V

5. Add all powers together 640 watts PT = IT VT PT = 8(80) PT = 640 watts
8 amps
P1 = 176 W
P2 = 90 W
P3 = 150 W
P4 = 128 W
P5 =
P6 =
P7 =
P8 = 48 W
P9 =
P10 =
Add all powers
together
30 V
3 amp
5 amp
30 V
16 V
8 amps
6⅔ V
2⅔ amps
17 / W 7 9
/ amps 8
4 / W 20
5⅓ V 9 27
640 watts 7
9 / W 13
5⅓ V
1 / amps 9 27
12 V
4 amps
1⅓ amps
7 / W 1
5⅓ V 9
6⅔ V
1⅓ amps
8 / W 8 9
PT = IT VT
PT = 8(80)
PT = 640 watts
This is the total power for all resistors