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. 1 V
  2. 3 V
  3. 4.5 V
  4. 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):

  1. is 10× bigger
  2. is 10× smaller
  3. stays the same
  4. 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:

  1. rises
  2. falls
  3. stays the same
  4. 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?

  1. Resistors cannot carry DC
  2. The motor's current collapses Vout and wastes power in R1
  3. Dividers only work with AC
  4. 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?

  1. 2 kΩ top, 1 kΩ bottom
  2. 1 kΩ top, 2 kΩ bottom
  3. 1 kΩ top, 1 kΩ bottom
  4. 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.)