4.3.3 Potential Dividers

• The potential divider formula is $V_{out} =$ \frac{R_{2}}{R_{1} + R_{2}} \times V_{\in}


  True
• Match the term with its description:

  Potential Divider ↔️ Circuit that divides input voltage

  $V_{out}$ ↔️ Output voltage across $R_{2}$
• The principle of potential division states that voltage across each resistor in a series circuit is proportional to its resistance.

  True
• A potential divider consists of two or more resistors connected in series
• Potential dividers are used for signal conditioning and voltage adjustment.


  True
• The output voltage in the potential divider formula is represented by V_{out}
• What does Ohm's Law state?

  $V =$$IR$
• How can the output voltage of a potential divider be adjusted?

  By changing resistor values
• What is one use of potential dividers in signal conditioning?

  Scaling down high voltages
• Potential dividers are used in voltage referencing to provide a stable reference voltage for analog-to-digital converters
• What is the potential divider formula?

  $V_{out} =$ \frac{R_{2}}{R_{1} + R_{2}} \times V_{\in}
• The potential divider formula is derived from Ohm's Law.


  True
• Potential dividers are used to amplify voltage levels.

  False
• The potential divider formula is $V_{out} =$ \frac{R_{2}}{R_{1} + R_{2}} \times V_{\in}, where $V_{\in}$ represents the input voltage
• When solving practical examples with potential dividers, the key is to apply the potential divider formula
• In a series potential divider, the output voltage is a fraction of the input voltage
• In a potential divider, a higher resistance leads to a higher voltage drop
• Potential dividers are used for signal conditioning.


  True
• Match the term with its description:

  Potential Divider ↔️ Divides input voltage using resistors in series

  $V_{out}$ ↔️ Output voltage across $R_{2}$

  $V_{\in}$ ↔️ Input voltage to the divider
• What is the potential divider formula?

  $V_{out} =$ \frac{R_{2}}{R_{1} + R_{2}} \times V_{\in}
• What are the resistances of the two resistors in a potential divider circuit denoted as?

  $R_{1}$ and $R_{2}$
• In the potential divider formula, $V_{\in}$ represents the input voltage
• In a potential divider circuit, the output voltage is the voltage across resistor $R_{2}$


  True
• The potential divider formula is written as V_{out} = \frac{R_{2}}{R_{1} + R_{2}} \times V_{\in}</latex>, where $V_{\in}$ is the input voltage
• The potential divider is a key component in series circuits for dividing voltage levels.


  True
• A potential divider is a circuit consisting of two or more resistors connected in series
• The voltage across each resistor in a potential divider is proportional to its resistance.

  True
• The current is constant in a series circuit.


  True
• Steps to derive the potential divider formula

  1️⃣ Calculate the total resistance in the series circuit

  2️⃣ Use Ohm's Law to find the current

  3️⃣ Apply Ohm's Law again to find $V_{out}$

  4️⃣ Rearrange the equation to obtain the formula
• Match the use of a potential divider with its description:

  Voltage Referencing ↔️ Provides a stable reference voltage

  Signal Conditioning ↔️ Adjusts voltage levels for sensors

  Voltage Adjustment ↔️ Controls output voltage levels
• Potential dividers can be used to adjust motor speed.


  True
• Match the term with its description:

  V_{out}</latex> ↔️ Output voltage across $R_{2}$

  $V_{\in}$ ↔️ Input voltage to the potential divider
• What type of circuit is required for potential division?

  Series circuit
• What is the formula for current (I) in a potential divider circuit using Ohm's Law?

  $I =$ \frac{V_{\in}}{R_{1} + R_{2}}
• What is the purpose of a potential divider in voltage referencing?

  Provide a stable reference voltage
• What is the output voltage in Scenario 1 of the potential divider example?

  9V
• A series potential divider is useful for precise voltage control, such as dimming an LED


  True
• A potential divider uses resistors in series to divide the input voltage into smaller output voltages

  True
• What type of connection is used in a potential divider circuit?

  Series
• The potential divider formula includes the ratio of $R_{2}$ to R_{1} + R_{2}</latex>