4.87 Sketch the transfer characteristic vo versus , for the limiter circuits shown in Fig. P4.87. All diodes begin conducting at a forward voltage drop of 0.5 V and have voltage drops of 0.7 V when conducting a current i, 2 I mA. +3V Ikn (a) +3V Ikn (b) Figure P4.87

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### Exercise 4.87: Transfer Characteristic of Limiter Circuits

**Objective:** Sketch the transfer characteristic \( v_o \) versus \( v_i \) for the limiter circuits shown in Figure P4.87.

**Background:**
- All diodes in the circuits begin conducting at a forward voltage drop of 0.5 V.
- The voltage drop across the diodes is 0.7 V when conducting a current \( i_D \geq 1 \) mA.

#### Circuit Descriptions:

##### Circuit (a):
- The circuit consists of a series connection of a resistor (1 kΩ) and a diode with a +3 V supply voltage connected at the cathode of the diode.
- The input voltage \( v_i \) is applied at the left, and the output voltage \( v_o \) is taken across the diode.

##### Circuit (b):
- Similar to circuit (a), this circuit features a resistor (1 kΩ) and a diode.
- The difference is that the anode of the diode is connected to a +3 V supply.
- The configuration is otherwise the same, with \( v_i \) applied at the input and \( v_o \) taken across the diode.

**Figure P4.87:**

- Two schematic diagrams, each depicting a voltage limiter circuit with different diode orientations.
- Both circuits use a 1 kΩ resistor and a +3 V DC source.
- The orientation of the diodes is critical for determining the direction of current flow and the resulting output voltage characteristics.

**Analysis Request:**
- Develop a graphical representation to better understand how the input voltage \( v_i \) affects the output voltage \( v_o \) for each circuit configuration.
- Consider the diode conduction thresholds and the effect of the series resistor on the circuit behavior.

---

This educational material provides a foundation for understanding limiter circuits and diode conduction behavior in various electronic applications.
Transcribed Image Text:### Exercise 4.87: Transfer Characteristic of Limiter Circuits **Objective:** Sketch the transfer characteristic \( v_o \) versus \( v_i \) for the limiter circuits shown in Figure P4.87. **Background:** - All diodes in the circuits begin conducting at a forward voltage drop of 0.5 V. - The voltage drop across the diodes is 0.7 V when conducting a current \( i_D \geq 1 \) mA. #### Circuit Descriptions: ##### Circuit (a): - The circuit consists of a series connection of a resistor (1 kΩ) and a diode with a +3 V supply voltage connected at the cathode of the diode. - The input voltage \( v_i \) is applied at the left, and the output voltage \( v_o \) is taken across the diode. ##### Circuit (b): - Similar to circuit (a), this circuit features a resistor (1 kΩ) and a diode. - The difference is that the anode of the diode is connected to a +3 V supply. - The configuration is otherwise the same, with \( v_i \) applied at the input and \( v_o \) taken across the diode. **Figure P4.87:** - Two schematic diagrams, each depicting a voltage limiter circuit with different diode orientations. - Both circuits use a 1 kΩ resistor and a +3 V DC source. - The orientation of the diodes is critical for determining the direction of current flow and the resulting output voltage characteristics. **Analysis Request:** - Develop a graphical representation to better understand how the input voltage \( v_i \) affects the output voltage \( v_o \) for each circuit configuration. - Consider the diode conduction thresholds and the effect of the series resistor on the circuit behavior. --- This educational material provides a foundation for understanding limiter circuits and diode conduction behavior in various electronic applications.
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