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 45 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 = 45 V · R₁ = 22 Ω, R₂ = 33 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
2. In a potential divider circuit connected to a 48 V DC supply, resistor R₁ = 15 Ω and resistor R₂ = 25 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 48 V · R₁ = 15 Ω, R₂ = 25 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
3. In a potential divider circuit connected to a 15 V DC supply, resistor R₁ = 9 Ω and resistor R₂ = 18 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 15 V · R₁ = 9 Ω, R₂ = 18 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
4. In a potential divider circuit connected to a 80 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 = 80 V · R₁ = 18 Ω, R₂ = 42 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
5. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 10 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 = 20 V · R₁ = 10 Ω, R₂ = 10 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
6. In a potential divider circuit connected to a 60 V DC supply, resistor R₁ = 9 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 = 60 V · R₁ = 9 Ω, R₂ = 21 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
7. In a potential divider circuit connected to a 16 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 18 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 16 V · R₁ = 6 Ω, R₂ = 18 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
8. In a potential divider circuit connected to a 4 V DC supply, resistor R₁ = 2 Ω and resistor R₂ = 2 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 4 V · R₁ = 2 Ω, R₂ = 2 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
9. In a potential divider circuit connected to a 14 V DC supply, resistor R₁ = 12 Ω and resistor R₂ = 12 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 14 V · R₁ = 12 Ω, R₂ = 12 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
10. In a potential divider circuit connected to a 35 V DC supply, resistor R₁ = 3 Ω and resistor R₂ = 12 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 35 V · R₁ = 3 Ω, R₂ = 12 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
11. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 12 Ω and resistor R₂ = 18 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 10 V · R₁ = 12 Ω, R₂ = 18 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
12. 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 questions · Seed 47 · 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 45 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.
27 V
Total resistance R₁ + R₂ = 22 + 33 = 55 Ω. Potential difference across R₂ is V_out = (33 ÷ 55) × 45 V = 27 V.
2. In a potential divider circuit connected to a 48 V DC supply, resistor R₁ = 15 Ω and resistor R₂ = 25 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
30 V
Total resistance R₁ + R₂ = 15 + 25 = 40 Ω. Potential difference across R₂ is V_out = (25 ÷ 40) × 48 V = 30 V.
3. In a potential divider circuit connected to a 15 V DC supply, resistor R₁ = 9 Ω and resistor R₂ = 18 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
10 V
Total resistance R₁ + R₂ = 9 + 18 = 27 Ω. Potential difference across R₂ is V_out = (18 ÷ 27) × 15 V = 10 V.
4. In a potential divider circuit connected to a 80 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.
56 V
Total resistance R₁ + R₂ = 18 + 42 = 60 Ω. Potential difference across R₂ is V_out = (42 ÷ 60) × 80 V = 56 V.
5. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 10 Ω and resistor R₂ = 10 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
10 V
Total resistance R₁ + R₂ = 10 + 10 = 20 Ω. Potential difference across R₂ is V_out = (10 ÷ 20) × 20 V = 10 V.
6. In a potential divider circuit connected to a 60 V DC supply, resistor R₁ = 9 Ω and resistor R₂ = 21 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
42 V
Total resistance R₁ + R₂ = 9 + 21 = 30 Ω. Potential difference across R₂ is V_out = (21 ÷ 30) × 60 V = 42 V.
7. In a potential divider circuit connected to a 16 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 18 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 = 6 + 18 = 24 Ω. Potential difference across R₂ is V_out = (18 ÷ 24) × 16 V = 12 V.
8. In a potential divider circuit connected to a 4 V DC supply, resistor R₁ = 2 Ω and resistor R₂ = 2 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
2 V
Total resistance R₁ + R₂ = 2 + 2 = 4 Ω. Potential difference across R₂ is V_out = (2 ÷ 4) × 4 V = 2 V.
9. In a potential divider circuit connected to a 14 V DC supply, resistor R₁ = 12 Ω and resistor R₂ = 12 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
7 V
Total resistance R₁ + R₂ = 12 + 12 = 24 Ω. Potential difference across R₂ is V_out = (12 ÷ 24) × 14 V = 7 V.
10. In a potential divider circuit connected to a 35 V DC supply, resistor R₁ = 3 Ω and resistor R₂ = 12 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
28 V
Total resistance R₁ + R₂ = 3 + 12 = 15 Ω. Potential difference across R₂ is V_out = (12 ÷ 15) × 35 V = 28 V.
11. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 12 Ω and resistor R₂ = 18 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 = 12 + 18 = 30 Ω. Potential difference across R₂ is V_out = (18 ÷ 30) × 10 V = 6 V.
12. 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 questions · Seed 47 · 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 45 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 = 45 V · R₁ = 22 Ω, R₂ = 33 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
2. In a potential divider circuit connected to a 48 V DC supply, resistor R₁ = 15 Ω and resistor R₂ = 25 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 48 V · R₁ = 15 Ω, R₂ = 25 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
3. In a potential divider circuit connected to a 15 V DC supply, resistor R₁ = 9 Ω and resistor R₂ = 18 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 15 V · R₁ = 9 Ω, R₂ = 18 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
4. In a potential divider circuit connected to a 80 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 = 80 V · R₁ = 18 Ω, R₂ = 42 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
5. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 10 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 = 20 V · R₁ = 10 Ω, R₂ = 10 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
6. In a potential divider circuit connected to a 60 V DC supply, resistor R₁ = 9 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 = 60 V · R₁ = 9 Ω, R₂ = 21 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
7. In a potential divider circuit connected to a 16 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 18 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 16 V · R₁ = 6 Ω, R₂ = 18 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
8. In a potential divider circuit connected to a 4 V DC supply, resistor R₁ = 2 Ω and resistor R₂ = 2 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 4 V · R₁ = 2 Ω, R₂ = 2 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
9. In a potential divider circuit connected to a 14 V DC supply, resistor R₁ = 12 Ω and resistor R₂ = 12 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 14 V · R₁ = 12 Ω, R₂ = 12 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
10. In a potential divider circuit connected to a 35 V DC supply, resistor R₁ = 3 Ω and resistor R₂ = 12 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 35 V · R₁ = 3 Ω, R₂ = 12 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
11. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 12 Ω and resistor R₂ = 18 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 10 V · R₁ = 12 Ω, R₂ = 18 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
12. 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 questions · Seed 47 · 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 45 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.
27 V
Total resistance R₁ + R₂ = 22 + 33 = 55 Ω. Potential difference across R₂ is V_out = (33 ÷ 55) × 45 V = 27 V.
2. In a potential divider circuit connected to a 48 V DC supply, resistor R₁ = 15 Ω and resistor R₂ = 25 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
30 V
Total resistance R₁ + R₂ = 15 + 25 = 40 Ω. Potential difference across R₂ is V_out = (25 ÷ 40) × 48 V = 30 V.
3. In a potential divider circuit connected to a 15 V DC supply, resistor R₁ = 9 Ω and resistor R₂ = 18 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
10 V
Total resistance R₁ + R₂ = 9 + 18 = 27 Ω. Potential difference across R₂ is V_out = (18 ÷ 27) × 15 V = 10 V.
4. In a potential divider circuit connected to a 80 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.
56 V
Total resistance R₁ + R₂ = 18 + 42 = 60 Ω. Potential difference across R₂ is V_out = (42 ÷ 60) × 80 V = 56 V.
5. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 10 Ω and resistor R₂ = 10 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
10 V
Total resistance R₁ + R₂ = 10 + 10 = 20 Ω. Potential difference across R₂ is V_out = (10 ÷ 20) × 20 V = 10 V.
6. In a potential divider circuit connected to a 60 V DC supply, resistor R₁ = 9 Ω and resistor R₂ = 21 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
42 V
Total resistance R₁ + R₂ = 9 + 21 = 30 Ω. Potential difference across R₂ is V_out = (21 ÷ 30) × 60 V = 42 V.
7. In a potential divider circuit connected to a 16 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 18 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 = 6 + 18 = 24 Ω. Potential difference across R₂ is V_out = (18 ÷ 24) × 16 V = 12 V.
8. In a potential divider circuit connected to a 4 V DC supply, resistor R₁ = 2 Ω and resistor R₂ = 2 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
2 V
Total resistance R₁ + R₂ = 2 + 2 = 4 Ω. Potential difference across R₂ is V_out = (2 ÷ 4) × 4 V = 2 V.
9. In a potential divider circuit connected to a 14 V DC supply, resistor R₁ = 12 Ω and resistor R₂ = 12 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
7 V
Total resistance R₁ + R₂ = 12 + 12 = 24 Ω. Potential difference across R₂ is V_out = (12 ÷ 24) × 14 V = 7 V.
10. In a potential divider circuit connected to a 35 V DC supply, resistor R₁ = 3 Ω and resistor R₂ = 12 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
28 V
Total resistance R₁ + R₂ = 3 + 12 = 15 Ω. Potential difference across R₂ is V_out = (12 ÷ 15) × 35 V = 28 V.
11. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 12 Ω and resistor R₂ = 18 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 = 12 + 18 = 30 Ω. Potential difference across R₂ is V_out = (18 ÷ 30) × 10 V = 6 V.
12. 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 questions · Seed 47 · Age guidance, not curriculum certification