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?

  • AAn LED
  • BA diode
  • CA light-dependent resistor
  • DA fuse
  • EA thermistor

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?

  • A 48 Ω and 36 Ω
  • B 12 kΩ and 2 kΩ
  • C 10 kΩ and 5 kΩ
  • D 8 kΩ and 6 kΩ
  • E 200 Ω and 500 Ω

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 1 , is 48 Ω. The output voltage is drawn across the second resistor, 𝑅 2 . 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, 𝑉 i n , 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, 𝑉 i n , is equal to 15 V, what is the value of the output voltage, 𝑉 o u t ?

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, 𝑉 i n , is 12 V.

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

  • A 10 V
  • B 6 V
  • C 9.6 V
  • D 2 V
  • E 2.4 V

The variable resistor is kept at a resistance of 10 kΩ. At a temperature of 3 0 C , the thermistor has a resistance of 500 kΩ. What is the value of the output voltage when the temperature is 3 0 C ? Give your answer to 2 decimal places.

  • A 11.43 V
  • B 11.4 V
  • C 0.57 V
  • D 12 V
  • E 0.6 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 3 0 C ? Give your answer in kilohms.

  • A 30 kΩ
  • B 24.5 kΩ
  • C 0.49 kΩ
  • D 0.51 kΩ
  • E 24 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 .

  • Adecreases, increases
  • Bincreases, increases
  • Cincreases, stays the same
  • Dincreases, decreases
  • Edecreases, decreases

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