Consider common-source amplifier circuit shown below with K = 50μA/V2, Vto = 2V, L = 10µm and W = 400μm. v(1) R Vin (1) 1000 www O 100 ΚΩ C₁ 0.01 μF +20 V R₁ • 3 ΜΩ R₂ 1 MO The input resistance of the amplifier is close to 100 500 750 1000 IFI 2.7 k +20 V RD 4.7 ΚΩ M₁ ΚΩ. C₂ HE 1 μF H + Vo Cs 100 με R₁ 10 ΚΩ

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# Common-Source Amplifier Circuit

Consider the common-source amplifier circuit shown below with the following parameters:
- \( K'_n = 50 \, \mu A/V^2 \)
- \( V_{to} = 2 \, V \)
- \( L = 10 \, \mu m \)
- \( W = 400 \, \mu m \)

### Circuit Components:

1. **Power Supply:**
   - \( +20 \, V \) DC supply connected to the amplifier.

2. **Resistors:**
   - \( R = 100 \, k\Omega \)
   - \( R_1 = 3 \, M\Omega \)
   - \( R_2 = 1 \, M\Omega \)
   - \( R_D = 4.7 \, k\Omega \)
   - \( R_S = 2.7 \, k\Omega \)
   - \( R_L = 10 \, k\Omega \) (Load resistor)

3. **Capacitors:**
   - \( C_1 = 0.01 \, \mu F \)
   - \( C_2 = 1 \, \mu F \)
   - \( C_S = 100 \, \mu F \)

4. **MOSFET:**
   - Denoted as \( M_1 \)

5. **Input and Output:**
   - Input voltage \( v(t) \)
   - Input signal \( v_{in}(t) \)
   - Output voltage \( v_o \)

### Task:

Determine the input resistance of the amplifier.

### Options:
- 100 kΩ
- 500 kΩ
- 750 kΩ
- 1000 kΩ

### Diagram Explanation:

The diagram shows a common-source amplifier set up with a MOSFET and passive components. The input signal passes through a resistor \( R \) and coupling capacitor \( C_1 \) into the gate of the MOSFET. Output is taken across the load resistor \( R_L \), and various biasing resistors and capacitors are used to stabilize and couple signals.

### Question:

Calculate the closest input resistance of the amplifier from the given options.
Transcribed Image Text:# Common-Source Amplifier Circuit Consider the common-source amplifier circuit shown below with the following parameters: - \( K'_n = 50 \, \mu A/V^2 \) - \( V_{to} = 2 \, V \) - \( L = 10 \, \mu m \) - \( W = 400 \, \mu m \) ### Circuit Components: 1. **Power Supply:** - \( +20 \, V \) DC supply connected to the amplifier. 2. **Resistors:** - \( R = 100 \, k\Omega \) - \( R_1 = 3 \, M\Omega \) - \( R_2 = 1 \, M\Omega \) - \( R_D = 4.7 \, k\Omega \) - \( R_S = 2.7 \, k\Omega \) - \( R_L = 10 \, k\Omega \) (Load resistor) 3. **Capacitors:** - \( C_1 = 0.01 \, \mu F \) - \( C_2 = 1 \, \mu F \) - \( C_S = 100 \, \mu F \) 4. **MOSFET:** - Denoted as \( M_1 \) 5. **Input and Output:** - Input voltage \( v(t) \) - Input signal \( v_{in}(t) \) - Output voltage \( v_o \) ### Task: Determine the input resistance of the amplifier. ### Options: - 100 kΩ - 500 kΩ - 750 kΩ - 1000 kΩ ### Diagram Explanation: The diagram shows a common-source amplifier set up with a MOSFET and passive components. The input signal passes through a resistor \( R \) and coupling capacitor \( C_1 \) into the gate of the MOSFET. Output is taken across the load resistor \( R_L \), and various biasing resistors and capacitors are used to stabilize and couple signals. ### Question: Calculate the closest input resistance of the amplifier from the given options.
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