4.) For the circuit below, V, = 0.7V and ß = 120. Design the BJT circuit to operate as a switch that turns on and off a motor that has an equivalent resistance of 550 when it is running. The switch should be ON when Vin = 4V. 수+8V Motor 550 Vin RB

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**Problem Statement:**

For the circuit below, \( V_{\gamma} = 0.7V \) and \( \beta = 120 \). Design the BJT (Bipolar Junction Transistor) circuit to operate as a switch that turns on and off a motor that has an equivalent resistance of \( 55 \Omega \) when it is running. The switch should be ON when \( V_{\text{in}} = 4V \).

**Circuit Description:**

- **Components:**
  - A BJT transistor used as a switch.
  - A motor with an equivalent resistance of \( 55 \Omega \).
  - A power supply providing \( +8V \) for the motor.
  - A resistor \( R_B \) connected to the base of the transistor.
  - Input voltage \( V_{\text{in}} = 4V \) used to control the transistor.

- **Operation:**
  - The transistor is configured in a common-emitter configuration.
  - The input voltage \( V_{\text{in}} \) is applied to the base resistor \( R_B \).
  - The transistor turns on, acting as a closed switch to power the motor, when \( V_{\text{in}} = 4V \).

**Objective:**

Determine the appropriate value of the base resistor \( R_B \) to ensure the transistor fully turns on when the input voltage is 4V.

**Graphical Elements:**

- The schematic shows a typical BJT switch setup where the motor is connected in series with the collector.
- Power supply (+8V) is positioned above the motor, indicating it powers the motor through the transistor.
- The resistor \( R_B \) connects the input voltage \( V_{\text{in}} \) to the base of the transistor.

**Design Considerations:**

The transistor should saturate when \( V_{\text{in}} = 4V \) to engage the motor fully. Calculate \( R_B \) using the known \( \beta \), \( V_{\gamma} \), and current requirements for saturation based on the motor's resistance.
Transcribed Image Text:**Problem Statement:** For the circuit below, \( V_{\gamma} = 0.7V \) and \( \beta = 120 \). Design the BJT (Bipolar Junction Transistor) circuit to operate as a switch that turns on and off a motor that has an equivalent resistance of \( 55 \Omega \) when it is running. The switch should be ON when \( V_{\text{in}} = 4V \). **Circuit Description:** - **Components:** - A BJT transistor used as a switch. - A motor with an equivalent resistance of \( 55 \Omega \). - A power supply providing \( +8V \) for the motor. - A resistor \( R_B \) connected to the base of the transistor. - Input voltage \( V_{\text{in}} = 4V \) used to control the transistor. - **Operation:** - The transistor is configured in a common-emitter configuration. - The input voltage \( V_{\text{in}} \) is applied to the base resistor \( R_B \). - The transistor turns on, acting as a closed switch to power the motor, when \( V_{\text{in}} = 4V \). **Objective:** Determine the appropriate value of the base resistor \( R_B \) to ensure the transistor fully turns on when the input voltage is 4V. **Graphical Elements:** - The schematic shows a typical BJT switch setup where the motor is connected in series with the collector. - Power supply (+8V) is positioned above the motor, indicating it powers the motor through the transistor. - The resistor \( R_B \) connects the input voltage \( V_{\text{in}} \) to the base of the transistor. **Design Considerations:** The transistor should saturate when \( V_{\text{in}} = 4V \) to engage the motor fully. Calculate \( R_B \) using the known \( \beta \), \( V_{\gamma} \), and current requirements for saturation based on the motor's resistance.
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