The rather simple circuit shown below is known as a voltage divider. The symbol consisting of three horizontal lines is represents "ground" and can be defined as the point where the potential is zero. The voltage divider is widely used in circuits and a single voltage source can be used to provide reduced voltage to a load resistor as shown in the second part of the figure. R1 Vin R1 Vin Vout Vout R2 R2 RL O V OV (b) (a) Hint a. What is the output voltage Vout of circuit (a) in terms of R1,R2, and Vin? Vout = b. What is the output voltage Vout of circuit (b) in terms of R1,R2,RL, and Vin? Vout
The rather simple circuit shown below is known as a voltage divider. The symbol consisting of three horizontal lines is represents "ground" and can be defined as the point where the potential is zero. The voltage divider is widely used in circuits and a single voltage source can be used to provide reduced voltage to a load resistor as shown in the second part of the figure. R1 Vin R1 Vin Vout Vout R2 R2 RL O V OV (b) (a) Hint a. What is the output voltage Vout of circuit (a) in terms of R1,R2, and Vin? Vout = b. What is the output voltage Vout of circuit (b) in terms of R1,R2,RL, and Vin? Vout
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11th Edition
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![The rather simple circuit shown below is known as a voltage divider. The symbol consisting of three horizontal lines represents "ground" and can be defined as the point where the potential is zero. The voltage divider is widely used in circuits, and a single voltage source can be used to provide reduced voltage to a load resistor as shown in the second part of the figure.
**Diagram Explanation:**
- **Figure (a):** This figure depicts a basic voltage divider circuit. It consists of a voltage source \( V_{\text{in}} \), and two resistors \( R_1 \) and \( R_2 \) arranged in series. The output voltage \( V_{\text{out}} \) is taken across the second resistor \( R_2 \).
- **Figure (b):** This figure illustrates a voltage divider with an additional load resistor \( R_L \). The load resistor is connected in parallel with \( R_2 \), and the output voltage \( V_{\text{out}} \) is taken across both \( R_2 \) and \( R_L \).
**Questions:**
a. What is the output voltage \( V_{\text{out}} \) of circuit (a) in terms of \( R_1, R_2, \) and \( V_{\text{in}} \)?
\[ V_{\text{out}} = \]
b. What is the output voltage \( V_{\text{out}} \) of circuit (b) in terms of \( R_1, R_2, R_L, \) and \( V_{\text{in}} \)?
\[ V_{\text{out}} = \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe09d4462-f34d-4530-ac40-5ce52271c7b7%2F8860ea4a-c2a7-45e8-80f0-6603e9e88c4c%2Fzprjve_processed.png&w=3840&q=75)
Transcribed Image Text:The rather simple circuit shown below is known as a voltage divider. The symbol consisting of three horizontal lines represents "ground" and can be defined as the point where the potential is zero. The voltage divider is widely used in circuits, and a single voltage source can be used to provide reduced voltage to a load resistor as shown in the second part of the figure.
**Diagram Explanation:**
- **Figure (a):** This figure depicts a basic voltage divider circuit. It consists of a voltage source \( V_{\text{in}} \), and two resistors \( R_1 \) and \( R_2 \) arranged in series. The output voltage \( V_{\text{out}} \) is taken across the second resistor \( R_2 \).
- **Figure (b):** This figure illustrates a voltage divider with an additional load resistor \( R_L \). The load resistor is connected in parallel with \( R_2 \), and the output voltage \( V_{\text{out}} \) is taken across both \( R_2 \) and \( R_L \).
**Questions:**
a. What is the output voltage \( V_{\text{out}} \) of circuit (a) in terms of \( R_1, R_2, \) and \( V_{\text{in}} \)?
\[ V_{\text{out}} = \]
b. What is the output voltage \( V_{\text{out}} \) of circuit (b) in terms of \( R_1, R_2, R_L, \) and \( V_{\text{in}} \)?
\[ V_{\text{out}} = \]
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