QuizThe voltage divider · 8 min
Quiz: the voltage divider
9 questions. Answer each one, then open Show the answer to check yourself. In Litmux Academy the quiz is marked and counts towards your certificate.
Question 1R1 = 2 kΩ, R2 = 1 kΩ across 9 V. Vout (across R2) is:
- 1 V
- 3 V
- 4.5 V
- 6 V
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Answer: B. 3 V
9 × 1 / (2 + 1) = 3 V.
Question 210 V across 10 k (top) + 40 k (bottom). What is Vout?
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Answer: 8 V
10 × 40 / 50 = 8 V.
Question 3Both resistors of a divider are made 10 times bigger. Vout (no load):
- is 10× bigger
- is 10× smaller
- stays the same
- becomes zero
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Answer: C. stays the same
Only the ratio sets Vout; the size sets the current.
Question 4An LDR is at the bottom of a divider. It gets dark. Vout:
- rises
- falls
- stays the same
- reverses
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Answer: A. rises
Darker → higher LDR resistance → a bigger share of the voltage across it.
Question 5What is the output resistance (Rth) of a 30 k / 60 k divider?
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Answer: 20000 Ω
30 × 60 / 90 = 20 kΩ.
Question 6A 12 V, 10 k / 10 k divider gets a 10 kΩ load. Vout becomes:
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Answer: 4 V
10 k ∥ 10 k = 5 k: 12 × 5 / 15 = 4 V.
Question 7Why is a divider a bad way to run a 5 V motor from 12 V?
- Resistors cannot carry DC
- The motor's current collapses Vout and wastes power in R1
- Dividers only work with AC
- The motor would run backwards
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Answer: B. The motor's current collapses Vout and wastes power in R1
The load draws current through R1: the voltage drops and R1 heats up. Use a regulator.
Question 8A 22 k / 10 k divider on a battery gives 3.5 V at the ADC. The battery is at:
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Answer: 11.2 V
3.5 × 32 / 10 = 11.2 V.
Question 9Which pair is the usual way to bring a 5 V signal down to a 3.3 V input?
- 2 kΩ top, 1 kΩ bottom
- 1 kΩ top, 2 kΩ bottom
- 1 kΩ top, 1 kΩ bottom
- 10 Ω top, 20 Ω bottom
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Answer: B. 1 kΩ top, 2 kΩ bottom
5 × 2 / 3 = 3.33 V. (10 Ω / 20 Ω has the right ratio but would load the 5 V pin with 167 mA.)