ScienceAges 13-15

Potential divider circuits

Apply the potential divider equation V_out = (R₂ ÷ (R₁ + R₂)) × V_in across two series resistors connected to a DC source. Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 13-15

Potential divider circuits

Take your time. Show your thinking.

1. In a potential divider circuit connected to a 50 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 24 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 50 V · R₁ = 6 Ω, R₂ = 24 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
2. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 9 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 10 V · R₁ = 6 Ω, R₂ = 9 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
3. In a potential divider circuit connected to a 80 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 10 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 80 V · R₁ = 6 Ω, R₂ = 10 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
4. In a potential divider circuit connected to a 49 V DC supply, resistor R₁ = 14 Ω and resistor R₂ = 35 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 49 V · R₁ = 14 Ω, R₂ = 35 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
5. In a potential divider circuit connected to a 50 V DC supply, resistor R₁ = 33 Ω and resistor R₂ = 77 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 50 V · R₁ = 33 Ω, R₂ = 77 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
6. In a potential divider circuit connected to a 25 V DC supply, resistor R₁ = 22 Ω and resistor R₂ = 33 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 25 V · R₁ = 22 Ω, R₂ = 33 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
7. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 18 Ω and resistor R₂ = 27 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 20 V · R₁ = 18 Ω, R₂ = 27 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
8. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 14 Ω and resistor R₂ = 21 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 10 V · R₁ = 14 Ω, R₂ = 21 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
9. In a potential divider circuit connected to a 24 V DC supply, resistor R₁ = 9 Ω and resistor R₂ = 27 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 24 V · R₁ = 9 Ω, R₂ = 27 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
10. In a potential divider circuit connected to a 28 V DC supply, resistor R₁ = 14 Ω and resistor R₂ = 35 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 28 V · R₁ = 14 Ω, R₂ = 35 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
11. In a potential divider circuit connected to a 90 V DC supply, resistor R₁ = 18 Ω and resistor R₂ = 42 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 90 V · R₁ = 18 Ω, R₂ = 42 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
12. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 7 Ω and resistor R₂ = 21 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 20 V · R₁ = 7 Ω, R₂ = 21 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in

12 questions · Seed 44 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 13-15

Potential divider circuits

Answers and reasoning. Review before teaching.

1. In a potential divider circuit connected to a 50 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 24 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
40 V
Total resistance R₁ + R₂ = 6 + 24 = 30 Ω. Potential difference across R₂ is V_out = (24 ÷ 30) × 50 V = 40 V.
2. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 9 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
6 V
Total resistance R₁ + R₂ = 6 + 9 = 15 Ω. Potential difference across R₂ is V_out = (9 ÷ 15) × 10 V = 6 V.
3. In a potential divider circuit connected to a 80 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 10 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
50 V
Total resistance R₁ + R₂ = 6 + 10 = 16 Ω. Potential difference across R₂ is V_out = (10 ÷ 16) × 80 V = 50 V.
4. In a potential divider circuit connected to a 49 V DC supply, resistor R₁ = 14 Ω and resistor R₂ = 35 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
35 V
Total resistance R₁ + R₂ = 14 + 35 = 49 Ω. Potential difference across R₂ is V_out = (35 ÷ 49) × 49 V = 35 V.
5. In a potential divider circuit connected to a 50 V DC supply, resistor R₁ = 33 Ω and resistor R₂ = 77 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
35 V
Total resistance R₁ + R₂ = 33 + 77 = 110 Ω. Potential difference across R₂ is V_out = (77 ÷ 110) × 50 V = 35 V.
6. In a potential divider circuit connected to a 25 V DC supply, resistor R₁ = 22 Ω and resistor R₂ = 33 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
15 V
Total resistance R₁ + R₂ = 22 + 33 = 55 Ω. Potential difference across R₂ is V_out = (33 ÷ 55) × 25 V = 15 V.
7. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 18 Ω and resistor R₂ = 27 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
12 V
Total resistance R₁ + R₂ = 18 + 27 = 45 Ω. Potential difference across R₂ is V_out = (27 ÷ 45) × 20 V = 12 V.
8. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 14 Ω and resistor R₂ = 21 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
6 V
Total resistance R₁ + R₂ = 14 + 21 = 35 Ω. Potential difference across R₂ is V_out = (21 ÷ 35) × 10 V = 6 V.
9. In a potential divider circuit connected to a 24 V DC supply, resistor R₁ = 9 Ω and resistor R₂ = 27 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
18 V
Total resistance R₁ + R₂ = 9 + 27 = 36 Ω. Potential difference across R₂ is V_out = (27 ÷ 36) × 24 V = 18 V.
10. In a potential divider circuit connected to a 28 V DC supply, resistor R₁ = 14 Ω and resistor R₂ = 35 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
20 V
Total resistance R₁ + R₂ = 14 + 35 = 49 Ω. Potential difference across R₂ is V_out = (35 ÷ 49) × 28 V = 20 V.
11. In a potential divider circuit connected to a 90 V DC supply, resistor R₁ = 18 Ω and resistor R₂ = 42 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
63 V
Total resistance R₁ + R₂ = 18 + 42 = 60 Ω. Potential difference across R₂ is V_out = (42 ÷ 60) × 90 V = 63 V.
12. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 7 Ω and resistor R₂ = 21 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
15 V
Total resistance R₁ + R₂ = 7 + 21 = 28 Ω. Potential difference across R₂ is V_out = (21 ÷ 28) × 20 V = 15 V.

12 questions · Seed 44 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

Potential divider circuits

Take your time. Show your thinking.

1. In a potential divider circuit connected to a 50 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 24 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 50 V · R₁ = 6 Ω, R₂ = 24 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
2. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 9 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 10 V · R₁ = 6 Ω, R₂ = 9 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
3. In a potential divider circuit connected to a 80 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 10 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 80 V · R₁ = 6 Ω, R₂ = 10 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
4. In a potential divider circuit connected to a 49 V DC supply, resistor R₁ = 14 Ω and resistor R₂ = 35 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 49 V · R₁ = 14 Ω, R₂ = 35 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
5. In a potential divider circuit connected to a 50 V DC supply, resistor R₁ = 33 Ω and resistor R₂ = 77 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 50 V · R₁ = 33 Ω, R₂ = 77 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
6. In a potential divider circuit connected to a 25 V DC supply, resistor R₁ = 22 Ω and resistor R₂ = 33 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 25 V · R₁ = 22 Ω, R₂ = 33 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
7. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 18 Ω and resistor R₂ = 27 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 20 V · R₁ = 18 Ω, R₂ = 27 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
8. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 14 Ω and resistor R₂ = 21 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 10 V · R₁ = 14 Ω, R₂ = 21 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
9. In a potential divider circuit connected to a 24 V DC supply, resistor R₁ = 9 Ω and resistor R₂ = 27 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 24 V · R₁ = 9 Ω, R₂ = 27 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
10. In a potential divider circuit connected to a 28 V DC supply, resistor R₁ = 14 Ω and resistor R₂ = 35 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 28 V · R₁ = 14 Ω, R₂ = 35 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
11. In a potential divider circuit connected to a 90 V DC supply, resistor R₁ = 18 Ω and resistor R₂ = 42 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 90 V · R₁ = 18 Ω, R₂ = 42 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
12. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 7 Ω and resistor R₂ = 21 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 20 V · R₁ = 7 Ω, R₂ = 21 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in

12 questions · Seed 44 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

Potential divider circuits

Answers and reasoning. Review before teaching.

1. In a potential divider circuit connected to a 50 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 24 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
40 V
Total resistance R₁ + R₂ = 6 + 24 = 30 Ω. Potential difference across R₂ is V_out = (24 ÷ 30) × 50 V = 40 V.
2. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 9 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
6 V
Total resistance R₁ + R₂ = 6 + 9 = 15 Ω. Potential difference across R₂ is V_out = (9 ÷ 15) × 10 V = 6 V.
3. In a potential divider circuit connected to a 80 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 10 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
50 V
Total resistance R₁ + R₂ = 6 + 10 = 16 Ω. Potential difference across R₂ is V_out = (10 ÷ 16) × 80 V = 50 V.
4. In a potential divider circuit connected to a 49 V DC supply, resistor R₁ = 14 Ω and resistor R₂ = 35 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
35 V
Total resistance R₁ + R₂ = 14 + 35 = 49 Ω. Potential difference across R₂ is V_out = (35 ÷ 49) × 49 V = 35 V.
5. In a potential divider circuit connected to a 50 V DC supply, resistor R₁ = 33 Ω and resistor R₂ = 77 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
35 V
Total resistance R₁ + R₂ = 33 + 77 = 110 Ω. Potential difference across R₂ is V_out = (77 ÷ 110) × 50 V = 35 V.
6. In a potential divider circuit connected to a 25 V DC supply, resistor R₁ = 22 Ω and resistor R₂ = 33 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
15 V
Total resistance R₁ + R₂ = 22 + 33 = 55 Ω. Potential difference across R₂ is V_out = (33 ÷ 55) × 25 V = 15 V.
7. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 18 Ω and resistor R₂ = 27 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
12 V
Total resistance R₁ + R₂ = 18 + 27 = 45 Ω. Potential difference across R₂ is V_out = (27 ÷ 45) × 20 V = 12 V.
8. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 14 Ω and resistor R₂ = 21 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
6 V
Total resistance R₁ + R₂ = 14 + 21 = 35 Ω. Potential difference across R₂ is V_out = (21 ÷ 35) × 10 V = 6 V.
9. In a potential divider circuit connected to a 24 V DC supply, resistor R₁ = 9 Ω and resistor R₂ = 27 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
18 V
Total resistance R₁ + R₂ = 9 + 27 = 36 Ω. Potential difference across R₂ is V_out = (27 ÷ 36) × 24 V = 18 V.
10. In a potential divider circuit connected to a 28 V DC supply, resistor R₁ = 14 Ω and resistor R₂ = 35 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
20 V
Total resistance R₁ + R₂ = 14 + 35 = 49 Ω. Potential difference across R₂ is V_out = (35 ÷ 49) × 28 V = 20 V.
11. In a potential divider circuit connected to a 90 V DC supply, resistor R₁ = 18 Ω and resistor R₂ = 42 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
63 V
Total resistance R₁ + R₂ = 18 + 42 = 60 Ω. Potential difference across R₂ is V_out = (42 ÷ 60) × 90 V = 63 V.
12. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 7 Ω and resistor R₂ = 21 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
15 V
Total resistance R₁ + R₂ = 7 + 21 = 28 Ω. Potential difference across R₂ is V_out = (21 ÷ 28) × 20 V = 15 V.

12 questions · Seed 44 · Age guidance, not curriculum certification