V₁ = 100V RF = 2^ M I = SA R₁ = 6^ a) compute the back-emf (EG). b) compute the output power in Watts (W) and horsepower (hp). c) compute the torque in ft-lbf and N-m. d) neglecting all losses, compute the efficiency (n) if Pin is 400 W. EG n=1200rpm

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For the following series motor

### Educational Content on Electric Circuits

#### Diagram Explanation

The diagram represents a simple electric motor circuit. Here's a detailed breakdown:

- **Voltage Source (\( V_t \))**: The circuit is powered by a voltage source of 110 volts.
  
- **Resistance (\( R_F \) and \( R_A \))**: The circuit includes a field resistance (\( R_F \)) of 2 ohms and an armature resistance (\( R_A \)) of 6 ohms.

- **Current (\( I \))**: A current of 5 amperes flows through the circuit.

- **Back EMF (\( E_g \))**: This is the electromotive force generated by the motor, denoted as \( E_g \).

- **Motor Speed**: The motor operates at a speed of 1200 revolutions per minute (rpm).

#### Problem Statements

a) **Compute the Back-EMF (\( E_g \))**.

b) **Compute the Output Power**:
   - In Watts (W)
   - In Horsepower (hp)

c) **Compute the Torque**:
   - In foot-pounds-force (ft-lbf)
   - In Newton-meters (N-m)

d) **Compute the Efficiency (\( \eta \))**:
   - Given that the input power (\( P_{\text{in}} \)) is 400 Watts, compute the efficiency, neglecting all losses.

This educational content highlights fundamental concepts of electric circuits, particularly focusing on calculating back electromotive force, output power, torque, and efficiency of a motor. These computations are essential for understanding and designing efficient electric motors.
Transcribed Image Text:### Educational Content on Electric Circuits #### Diagram Explanation The diagram represents a simple electric motor circuit. Here's a detailed breakdown: - **Voltage Source (\( V_t \))**: The circuit is powered by a voltage source of 110 volts. - **Resistance (\( R_F \) and \( R_A \))**: The circuit includes a field resistance (\( R_F \)) of 2 ohms and an armature resistance (\( R_A \)) of 6 ohms. - **Current (\( I \))**: A current of 5 amperes flows through the circuit. - **Back EMF (\( E_g \))**: This is the electromotive force generated by the motor, denoted as \( E_g \). - **Motor Speed**: The motor operates at a speed of 1200 revolutions per minute (rpm). #### Problem Statements a) **Compute the Back-EMF (\( E_g \))**. b) **Compute the Output Power**: - In Watts (W) - In Horsepower (hp) c) **Compute the Torque**: - In foot-pounds-force (ft-lbf) - In Newton-meters (N-m) d) **Compute the Efficiency (\( \eta \))**: - Given that the input power (\( P_{\text{in}} \)) is 400 Watts, compute the efficiency, neglecting all losses. This educational content highlights fundamental concepts of electric circuits, particularly focusing on calculating back electromotive force, output power, torque, and efficiency of a motor. These computations are essential for understanding and designing efficient electric motors.
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