22 In the voltage regulator circuit in Figure P2.21, V, = 20 V, Vz = 10 V, R; = 222 2, and Pz(max) = 400 mW. (a) Determine 1, Iz, and I, if RL = 380 2. (b) Determine the value of R1 that will establish Pz(max) in the diode. (c) Repeat part (b) if R; = 175 2.

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### Figure P2.21: Zener Diode Voltage Regulator Circuit

This schematic diagram illustrates a Zener diode voltage regulator circuit. It features the following components and notations:

- **\( V_I \)**: Represents the input voltage supplied to the circuit.
- **\( R_I \)**: The input resistor, controlling the current through the circuit.
- **\( I_I \)**: The current through \( R_I \), which splits into \( I_Z \) and \( I_L \).
- **\( I_Z \)**: The current flowing through the Zener diode.
- **Zener Diode**: Illustrated by the symbol with a triangle pointing towards a line, maintaining a stable output voltage \( V_Z \).
- **\( V_Z \)**: The Zener voltage, a constant output voltage maintained across the Zener diode.
- **\( I_L \)**: The current flowing through the load resistor \( R_L \).
- **\( R_L \)**: The load resistor, which receives the regulated voltage.
- **\( V_L \)**: The voltage across the load resistor \( R_L \), ideally equal to \( V_Z \).

The Zener diode regulates the output voltage across the load resistor \( R_L \) by maintaining a constant voltage \( V_Z \), even if the input voltage \( V_I \) fluctuates, as long as the Zener diode remains in its breakdown region.
Transcribed Image Text:### Figure P2.21: Zener Diode Voltage Regulator Circuit This schematic diagram illustrates a Zener diode voltage regulator circuit. It features the following components and notations: - **\( V_I \)**: Represents the input voltage supplied to the circuit. - **\( R_I \)**: The input resistor, controlling the current through the circuit. - **\( I_I \)**: The current through \( R_I \), which splits into \( I_Z \) and \( I_L \). - **\( I_Z \)**: The current flowing through the Zener diode. - **Zener Diode**: Illustrated by the symbol with a triangle pointing towards a line, maintaining a stable output voltage \( V_Z \). - **\( V_Z \)**: The Zener voltage, a constant output voltage maintained across the Zener diode. - **\( I_L \)**: The current flowing through the load resistor \( R_L \). - **\( R_L \)**: The load resistor, which receives the regulated voltage. - **\( V_L \)**: The voltage across the load resistor \( R_L \), ideally equal to \( V_Z \). The Zener diode regulates the output voltage across the load resistor \( R_L \) by maintaining a constant voltage \( V_Z \), even if the input voltage \( V_I \) fluctuates, as long as the Zener diode remains in its breakdown region.
**Transcription:**

2.22 In the voltage regulator circuit in Figure P2.21,  \( V_i = 20 \, V \), \( V_z = 10 \, V \), \( R_i = 222 \, \Omega \), and \( P_z(\text{max}) = 400 \, \text{mW} \). 

(a) Determine \( I_L \), \( I_z \), and \( I_i \), if \( R_L = 380 \, \Omega \). 

(b) Determine the value of \( R_i \) that will establish \( P_z(\text{max}) \) in the diode. 

(c) Repeat part (b) if \( R_i = 175 \, \Omega \).
Transcribed Image Text:**Transcription:** 2.22 In the voltage regulator circuit in Figure P2.21, \( V_i = 20 \, V \), \( V_z = 10 \, V \), \( R_i = 222 \, \Omega \), and \( P_z(\text{max}) = 400 \, \text{mW} \). (a) Determine \( I_L \), \( I_z \), and \( I_i \), if \( R_L = 380 \, \Omega \). (b) Determine the value of \( R_i \) that will establish \( P_z(\text{max}) \) in the diode. (c) Repeat part (b) if \( R_i = 175 \, \Omega \).
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