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.

New variation Try interactive challenge Browse templates

Age band:Ages 13-15 Ages 16-18

Choose “Save as PDF” to keep a copy. Use your browser’s paper setting for A4 or Letter.

Worksheet StudioPractice pack · Ages 13-15

Potential divider circuits

Take your time. Show your thinking.

1. In a potential divider circuit connected to a 14 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 15 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 14 V · R₁ = 6 Ω, R₂ = 15 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
2. In a potential divider circuit connected to a 56 V DC supply, resistor R₁ = 22 Ω and resistor R₂ = 55 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 56 V · R₁ = 22 Ω, R₂ = 55 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
3. In a potential divider circuit connected to a 30 V DC supply, resistor R₁ = 24 Ω and resistor R₂ = 56 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 30 V · R₁ = 24 Ω, R₂ = 56 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
4. In a potential divider circuit connected to a 18 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 = 18 V · R₁ = 10 Ω, R₂ = 10 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
5. In a potential divider circuit connected to a 25 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 = 25 V · R₁ = 18 Ω, R₂ = 27 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
6. In a potential divider circuit connected to a 50 V DC supply, resistor R₁ = 7 Ω and resistor R₂ = 28 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 50 V · R₁ = 7 Ω, R₂ = 28 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
7. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 3 Ω and resistor R₂ = 3 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 10 V · R₁ = 3 Ω, R₂ = 3 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
8. 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
9. In a potential divider circuit connected to a 25 V DC supply, resistor R₁ = 10 Ω and resistor R₂ = 40 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 25 V · R₁ = 10 Ω, R₂ = 40 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
10. In a potential divider circuit connected to a 63 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 15 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 63 V · R₁ = 6 Ω, R₂ = 15 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
11. In a potential divider circuit connected to a 36 V DC supply, resistor R₁ = 3 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 = 36 V · R₁ = 3 Ω, R₂ = 9 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
12. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 24 Ω and resistor R₂ = 36 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 20 V · R₁ = 24 Ω, R₂ = 36 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in

12 questions · Seed 104732 · 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 14 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 15 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 = 6 + 15 = 21 Ω. Potential difference across R₂ is V_out = (15 ÷ 21) × 14 V = 10 V.
2. In a potential divider circuit connected to a 56 V DC supply, resistor R₁ = 22 Ω and resistor R₂ = 55 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 = 22 + 55 = 77 Ω. Potential difference across R₂ is V_out = (55 ÷ 77) × 56 V = 40 V.
3. In a potential divider circuit connected to a 30 V DC supply, resistor R₁ = 24 Ω and resistor R₂ = 56 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
21 V
Total resistance R₁ + R₂ = 24 + 56 = 80 Ω. Potential difference across R₂ is V_out = (56 ÷ 80) × 30 V = 21 V.
4. In a potential divider circuit connected to a 18 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.
9 V
Total resistance R₁ + R₂ = 10 + 10 = 20 Ω. Potential difference across R₂ is V_out = (10 ÷ 20) × 18 V = 9 V.
5. In a potential divider circuit connected to a 25 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.
15 V
Total resistance R₁ + R₂ = 18 + 27 = 45 Ω. Potential difference across R₂ is V_out = (27 ÷ 45) × 25 V = 15 V.
6. In a potential divider circuit connected to a 50 V DC supply, resistor R₁ = 7 Ω and resistor R₂ = 28 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 = 7 + 28 = 35 Ω. Potential difference across R₂ is V_out = (28 ÷ 35) × 50 V = 40 V.
7. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 3 Ω and resistor R₂ = 3 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
5 V
Total resistance R₁ + R₂ = 3 + 3 = 6 Ω. Potential difference across R₂ is V_out = (3 ÷ 6) × 10 V = 5 V.
8. 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.
9. In a potential divider circuit connected to a 25 V DC supply, resistor R₁ = 10 Ω and resistor R₂ = 40 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 = 10 + 40 = 50 Ω. Potential difference across R₂ is V_out = (40 ÷ 50) × 25 V = 20 V.
10. In a potential divider circuit connected to a 63 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 15 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
45 V
Total resistance R₁ + R₂ = 6 + 15 = 21 Ω. Potential difference across R₂ is V_out = (15 ÷ 21) × 63 V = 45 V.
11. In a potential divider circuit connected to a 36 V DC supply, resistor R₁ = 3 Ω and resistor R₂ = 9 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 = 3 + 9 = 12 Ω. Potential difference across R₂ is V_out = (9 ÷ 12) × 36 V = 27 V.
12. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 24 Ω and resistor R₂ = 36 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 = 24 + 36 = 60 Ω. Potential difference across R₂ is V_out = (36 ÷ 60) × 20 V = 12 V.

12 questions · Seed 104732 · 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 14 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 15 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 14 V · R₁ = 6 Ω, R₂ = 15 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
2. In a potential divider circuit connected to a 56 V DC supply, resistor R₁ = 22 Ω and resistor R₂ = 55 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 56 V · R₁ = 22 Ω, R₂ = 55 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
3. In a potential divider circuit connected to a 30 V DC supply, resistor R₁ = 24 Ω and resistor R₂ = 56 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 30 V · R₁ = 24 Ω, R₂ = 56 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
4. In a potential divider circuit connected to a 18 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 = 18 V · R₁ = 10 Ω, R₂ = 10 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
5. In a potential divider circuit connected to a 25 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 = 25 V · R₁ = 18 Ω, R₂ = 27 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
6. In a potential divider circuit connected to a 50 V DC supply, resistor R₁ = 7 Ω and resistor R₂ = 28 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 50 V · R₁ = 7 Ω, R₂ = 28 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
7. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 3 Ω and resistor R₂ = 3 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 10 V · R₁ = 3 Ω, R₂ = 3 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
8. 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
9. In a potential divider circuit connected to a 25 V DC supply, resistor R₁ = 10 Ω and resistor R₂ = 40 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 25 V · R₁ = 10 Ω, R₂ = 40 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
10. In a potential divider circuit connected to a 63 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 15 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 63 V · R₁ = 6 Ω, R₂ = 15 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
11. In a potential divider circuit connected to a 36 V DC supply, resistor R₁ = 3 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 = 36 V · R₁ = 3 Ω, R₂ = 9 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in
12. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 24 Ω and resistor R₂ = 36 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
V_in = 20 V · R₁ = 24 Ω, R₂ = 36 Ω · V_out = [R₂ ÷ (R₁ + R₂)] × V_in

12 questions · Seed 104732 · 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 14 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 15 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 = 6 + 15 = 21 Ω. Potential difference across R₂ is V_out = (15 ÷ 21) × 14 V = 10 V.
2. In a potential divider circuit connected to a 56 V DC supply, resistor R₁ = 22 Ω and resistor R₂ = 55 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 = 22 + 55 = 77 Ω. Potential difference across R₂ is V_out = (55 ÷ 77) × 56 V = 40 V.
3. In a potential divider circuit connected to a 30 V DC supply, resistor R₁ = 24 Ω and resistor R₂ = 56 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
21 V
Total resistance R₁ + R₂ = 24 + 56 = 80 Ω. Potential difference across R₂ is V_out = (56 ÷ 80) × 30 V = 21 V.
4. In a potential divider circuit connected to a 18 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.
9 V
Total resistance R₁ + R₂ = 10 + 10 = 20 Ω. Potential difference across R₂ is V_out = (10 ÷ 20) × 18 V = 9 V.
5. In a potential divider circuit connected to a 25 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.
15 V
Total resistance R₁ + R₂ = 18 + 27 = 45 Ω. Potential difference across R₂ is V_out = (27 ÷ 45) × 25 V = 15 V.
6. In a potential divider circuit connected to a 50 V DC supply, resistor R₁ = 7 Ω and resistor R₂ = 28 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 = 7 + 28 = 35 Ω. Potential difference across R₂ is V_out = (28 ÷ 35) × 50 V = 40 V.
7. In a potential divider circuit connected to a 10 V DC supply, resistor R₁ = 3 Ω and resistor R₂ = 3 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
5 V
Total resistance R₁ + R₂ = 3 + 3 = 6 Ω. Potential difference across R₂ is V_out = (3 ÷ 6) × 10 V = 5 V.
8. 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.
9. In a potential divider circuit connected to a 25 V DC supply, resistor R₁ = 10 Ω and resistor R₂ = 40 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 = 10 + 40 = 50 Ω. Potential difference across R₂ is V_out = (40 ÷ 50) × 25 V = 20 V.
10. In a potential divider circuit connected to a 63 V DC supply, resistor R₁ = 6 Ω and resistor R₂ = 15 Ω are connected in series. Using V_out = (R₂ ÷ (R₁ + R₂)) × V_in, calculate the potential difference across R₂.
45 V
Total resistance R₁ + R₂ = 6 + 15 = 21 Ω. Potential difference across R₂ is V_out = (15 ÷ 21) × 63 V = 45 V.
11. In a potential divider circuit connected to a 36 V DC supply, resistor R₁ = 3 Ω and resistor R₂ = 9 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 = 3 + 9 = 12 Ω. Potential difference across R₂ is V_out = (9 ÷ 12) × 36 V = 27 V.
12. In a potential divider circuit connected to a 20 V DC supply, resistor R₁ = 24 Ω and resistor R₂ = 36 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 = 24 + 36 = 60 Ω. Potential difference across R₂ is V_out = (36 ÷ 60) × 20 V = 12 V.

12 questions · Seed 104732 · Age guidance, not curriculum certification