Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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### 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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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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