Worksheet: Using Potential Dividers

In this worksheet, we will practice finding the output voltage of a potential divider and describing how potential dividers can be used in sensing circuits.

Q1:

What type of electronic component could be used instead of one of the resistors in a potential divider to create a light-sensing circuit?

  • AA fuse
  • BA light-dependent resistor
  • CA thermistor
  • DA diode
  • EAn LED

Q2:

Chloe creates the potential divider shown in the diagram. 𝑅 has a value of 30 Ω, and 𝑅 has a value of 90 Ω. What ratio of output voltage to input voltage does this produce?

Q3:

Isabella has a light bulb that requires a 12 V potential difference across it in order to work. She only has an 18 V battery to power it. Which of the following pairs of resistors can be used to create a potential divider to power the light bulb?

  • A200 Ω and 500 Ω
  • B8 kΩ and 6 kΩ
  • C12 kΩ and 2 kΩ
  • D48 Ω and 36 Ω
  • E10 kΩ and 5 kΩ

Q4:

A potential divider has an input voltage of 48 V. The resistance of the second resistor, 𝑅, is 100 kΩ. The output voltage is drawn across the second resistor, 𝑅. What resistance must the first resistor, 𝑅, have in order to produce an output voltage of 32 V?

Q5:

A potential divider has an input voltage of 36 V. The resistance of the first resistor, 𝑅, is 48 Ω. The output voltage is drawn across the second resistor, 𝑅. What resistance must the second resistor have in order to produce an output voltage of 18 V?

Q6:

A potential divider consists of two resistors, 𝑅 and 𝑅. The resistance of 𝑅 is 200 Ω, and the resistance of 𝑅 is 400 Ω. The output voltage is drawn across 𝑅. What input voltage is needed to produce an output voltage of 12 V?

Q7:

The diagram shows a circuit for a potential divider. The value of 𝑅 is 24 kΩ. The value of 𝑅 is 32 kΩ. What input voltage is needed to produce an output voltage of 8 V?

Q8:

The diagram shows a circuit for a potential divider. If the input voltage, 𝑉in, is 30 V, what value of 𝑅 is needed to produce an output voltage of 20 V?

Q9:

A potential divider has an input voltage of 24 V. The resistance of the first resistor, 𝑅, is 25 Ω. The resistance of the second resistor, 𝑅, is 75 Ω. The output voltage is drawn across the second resistor. What is the value of the output voltage?

Q10:

The diagram shows a circuit for a potential divider. If the input voltage is 12 V, what value of 𝑅 is needed to produce an output voltage of 4 V?

Q11:

The diagram shows a circuit for a potential divider. If the input voltage, 𝑉in, is equal to 15 V, what is the value of the output voltage, 𝑉out?

Q12:

The diagram shows a circuit for a potential divider consisting of a thermistor and a variable resistor. This circuit can be used as a temperature sensor. The input voltage, 𝑉in, is 12 V.

The variable resistor is set to a resistance of 10 kΩ. At a temperature of 5C, the thermistor has a resistance of 50 kΩ. What is the value of the output voltage when the temperature is 5C?

  • A6 V
  • B2.4 V
  • C2 V
  • D9.6 V
  • E10 V

The variable resistor is kept at a resistance of 10 kΩ. At a temperature of 30C, the thermistor has a resistance of 500 kΩ. What is the value of the output voltage when the temperature is 30C? Give your answer to 2 decimal places.

  • A0.6 V
  • B12 V
  • C11.43 V
  • D11.4 V
  • E0.57 V

In order for the output voltage to register as a value of 1 in the logic circuit that it is connected to, it must be at least 98% of the value of the input voltage. What is the lowest value of resistance that the variable resistor can be set to in order to achieve this output voltage at 30C? Give your answer in kilohms.

  • A24 kΩ
  • B30 kΩ
  • C0.51 kΩ
  • D0.49 kΩ
  • E24.5 kΩ

Q13:

The diagram shows a circuit for a potential divider that consists of a resistor and a thermistor. This potential divider could be used as part of a temperature-sensing circuit. The resistance of the thermistor decreases as the temperature increases.

As the temperature of the thermistor increases, the output voltage . As the temperature of the thermistor decreases, the output voltage .

  • Aincreases, decreases
  • Bincreases, stays the same
  • Cdecreases, decreases
  • Ddecreases, increases
  • Eincreases, increases

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