Question

A shunt motor develops $80 \mathrm{~N} \cdot \mathrm{m}$ of torque when the flux density in the air gap is $1.0 \mathrm{~Wb} / \mathrm{m}^{2}$ and the armature current is $15 \mathrm{~A}$. What is the torque when the flux density is $1.3 \mathrm{~Wb} / \mathrm{m}^{2}$ and the armature current is $18 \mathrm{~A}$ ?

Name: Problem 24, Chapter 33: Schaum’s Outline of College Physics
Uploaded: 2022-03-15T06:32:08-08:00
Duration: 1 min 40 s
Channel: Varsha Aggarwal
Description: A shunt motor develops 80 N ·m of torque when the flux density in the air gap is 1.0 Wb / m^2 and the armature current is 15 A. What is the torque when the flux density is 1.3 Wb / m^2 and the armature current is 18 A ?

   A shunt motor develops $80 \mathrm{~N} \cdot \mathrm{m}$ of torque when the flux density in the air gap is $1.0 \mathrm{~Wb} / \mathrm{m}^{2}$ and the armature current is $15 \mathrm{~A}$. What is the torque when the flux density is $1.3 \mathrm{~Wb} / \mathrm{m}^{2}$ and the armature current is $18 \mathrm{~A}$ ?

Schaum’s Outline of College Physics

Eugene Hecht 11th Edition

Chapter 33, Problem 24

Instant Answer

Solved by Expert Varsha Aggarwal

03/15/2022

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This can be expressed as: \[T \propto I \cdot B\] Show more…

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A shunt motor develops $80 \mathrm{~N} \cdot \mathrm{m}$ of torque when the flux density in the air gap is $1.0 \mathrm{~Wb} / \mathrm{m}^{2}$ and the armature current is $15 \mathrm{~A}$. What is the torque when the flux density is $1.3 \mathrm{~Wb} / \mathrm{m}^{2}$ and the armature current is $18 \mathrm{~A}$ ?

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Key Concepts

Electromechanical Torque Production in DC Motors

DC motors generate torque through the interaction of magnetic fields with current-carrying conductors in the armature. The magnetic flux produced in the air gap and the current flowing through the armature interact to create a force that results in rotational motion, converting electrical energy into mechanical energy.

Proportional Relationship of Torque, Flux, and Armature Current

The torque produced by a DC motor is directly proportional to both the magnetic flux density and the armature current. This means that an increase in either parameter will result in a proportional increase in torque, assuming all other factors remain constant. This proportionality is fundamental for analyzing and predicting motor performance under varying operating conditions.

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