100 micron 75 micron- 2 micron 1 micron C 3 micron 50 micron b) If a voltage of 5V is applied across what is the velocity of the electrons in sections A, B and C

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**Calculation of Resistance**

Consider a slab of Si which is \(0.2 \times 10^{-4}\) cm thick and doped at a value of \(N_D=10^{14} \text{cm}^{-3}\). The width for the slab is \(100 \times 10^{-4}\) cm and the length of the slab is \(5 \times 10^{-4}\) cm. The mobility of the material at this value of doping is \(1000 \text{ cm}^2/\text{V-sec}\). Calculate the resistance of the slab.

*Note: the patterned regions are the metal contacts.*

![Diagram](image.png)

### Diagram Explanation:
- The diagram shows a rectangular slab with a width of **10 microns** and a length of **100 microns**.
- The sides of the rectangle are patterned, indicating the presence of metal contacts.

**a)**

Consider a slab of the same material with the same thickness but in the shape shown below. Calculate the total resistance of this slab.

*Note: the patterned regions are the metal contacts.*
Transcribed Image Text:**Calculation of Resistance** Consider a slab of Si which is \(0.2 \times 10^{-4}\) cm thick and doped at a value of \(N_D=10^{14} \text{cm}^{-3}\). The width for the slab is \(100 \times 10^{-4}\) cm and the length of the slab is \(5 \times 10^{-4}\) cm. The mobility of the material at this value of doping is \(1000 \text{ cm}^2/\text{V-sec}\). Calculate the resistance of the slab. *Note: the patterned regions are the metal contacts.* ![Diagram](image.png) ### Diagram Explanation: - The diagram shows a rectangular slab with a width of **10 microns** and a length of **100 microns**. - The sides of the rectangle are patterned, indicating the presence of metal contacts. **a)** Consider a slab of the same material with the same thickness but in the shape shown below. Calculate the total resistance of this slab. *Note: the patterned regions are the metal contacts.*
The image shows a diagram with three sections labeled A, B, and C. 

- **Section A**: This section is 100 microns tall and 2 microns wide.
- **Section B**: This section is 75 microns tall and 1 micron wide.
- **Section C**: This section is 50 microns tall and 3 microns wide.

An arrow indicates the direction of electron movement across these sections.

**Question b)**: "If a voltage of 5V is applied across, what is the velocity of the electrons in sections A, B, and C?"

This problem involves calculating the electron velocity in each section when a 5V voltage is applied.
Transcribed Image Text:The image shows a diagram with three sections labeled A, B, and C. - **Section A**: This section is 100 microns tall and 2 microns wide. - **Section B**: This section is 75 microns tall and 1 micron wide. - **Section C**: This section is 50 microns tall and 3 microns wide. An arrow indicates the direction of electron movement across these sections. **Question b)**: "If a voltage of 5V is applied across, what is the velocity of the electrons in sections A, B, and C?" This problem involves calculating the electron velocity in each section when a 5V voltage is applied.
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