1. No; there is no continuous path resists light heat
toasters
irons
bulbs
18 Ω
9 Ω
three
series
series circuit
Yes; there is still a continuous path
power source
parallel
You could remove the 18 ohm or the 9 ohm, but not the three ohm and not both of them
parallel circuit
complex
complex circuit
series
Parallel – you don’t need to turn on the coffee pot to make toast
parallel
complex

2. complex circuit 6
RT = R1 + Rp
series circuit
RT = 3 Ω + 6 Ω
RT = R1 + R2 + R3
This parallel group is in series with the 3 Ω resistor
Rcomplex = 9 Ω
RT = 3 Ω + 18 Ω + 9 Ω
parallel group
Rseries = 30 Ω
parallel circuit
1 𝑅 𝑝 = 1 𝑅 𝑅 2
1 𝑅 𝑇 = 1 𝑅 𝑅 𝑅 3
1 𝑅 𝑝 =
1 𝑅 𝑇 =
Rparallel = 2 Ω
Rp = 6 Ω

3. 12 Ω
11Ω 3
24 Ω
4 Ω 12
24 Ω
17 Ω
6 Ω
4 Ω 2
RT = = 33 Ω

4. 11 Ω
9.2 Ω
8.8
24 Ω
44 Ω 6
8 Ω
4.5 Ω
30 Ω
5 Ω
2.5
RT = = 25 Ω

5. All resistors in series get the same current
All voltages in series add
All resistors in parallel get the same voltages
All currents in parallel add

6. Which resistors get 3 amps of current?
RT = 33 Ω
VT = ITRT
99 = IT(33)
IT = 3 amps
12 Ω
11Ω
V = IR 3
V = (3)3
24 Ω
4 Ω
99 V
*V = 9 V
24 Ω
17 Ω
6 Ω
4 Ω
* (each resistor in this group gets 9 V)
V = IR
V = (3)2
*V = 6 V 2
* (each resistor in this group gets 6 V)
Which resistors get 3 amps of current?
The 11 ohm and the 17 ohm
(and each parallel group)

7. R (Ω)
I (amps)
V (volts)
P (watts) 24 6 4 17 12 11
0.25
1.5 6
0.25 6
1.5 1 6 6
1.5 6 9 3 51
153
2.25 9
20.25
6.75
0.75 9 3 33 99
P total = 297 watts

8. Which resistors get 2 amps of current?
RT = 25 Ω
VT = ITRT
50 = IT(25)
IT = 2 amps
11 Ω
9.2 Ω
V = IR
8.8
V = (2)8.8
24 Ω
44 Ω
50 V
*V = 17.6 V
8 Ω
4.5 Ω
30 Ω
5 Ω
* (each resistor in this group gets 17.6 V)
V = IR
V = (2)2.5
*V = 5 V
2.5
* (each resistor in this group gets 5 V)
Which resistors get 2 amps of current?
The 9.2 ohm and the 4.5 ohm
(and each parallel group)

9. R (Ω)
I (amps)
V (volts)
P (watts) 24 8 30 5
4.5 11 44
9.2
0.21
1.04 5
0.625 5
3.125
0.17 5
0.83 1 5 5 2 9 18
1.6
17.6
28.16
7.04
0.4
17.6 2
18.4
36.8
P total = watts

10. R2 1Ω
9 Ω R3 R1
30 Ω
3 Ω R4 R5 R6 5 18
100 V
11 Ω
7 Ω 8
4.5 Ω
R16 6 R7
5 Ω
8 Ω
R10
18 Ω 3 R8
4 Ω
7.5
12 Ω R9
4 Ω
R11 4
9 Ω
R13 10
R12
19 Ω
11 Ω
R15
R14
25 Ω 30

11. R1
1 ohms R2
9 ohms R3
30 ohms R4
11 ohms R5
7 ohms R6
3 ohms R7
5 ohms R8
12 ohms R9
4 ohms
R10
8 ohms
R11
18 ohms
R12
R13
R14
R15
19 ohms
R16
4.5 ohms V1
4 volts V2
20 volts V3 V4
12.2 volts V5
7.77 volts V6
12 volts V7
10 volts V8
6 volts V9
V10
16 volts
V11
18 volts
V12
V13
V14
11 volts
V15
19 volts
V16 I1
4 amps I2
2.22 amps I3
0.67 amps I4
1.11 amps I5
1.11 amp I6 I7
2 amps I8
.5 amps I9
1.5 amps
I10
I11
1 amp
I12
I13
3 amps
I14
I15
I16 P1
16 watts P2
44.4 watts P3
13.4 watts P4
13.5 watts P5
8.63 watts P6
48 watts P7
20 watts P8
3 watts P9
9 watts
P10
32 watts
P11
18 watts
P12
36 watts
P13
P14
11 watts
P15
19 watts
P16
72 watts