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(a) $\mathrm{A} 200$ -turn circular loop of radius 50.0 $\mathrm{cm}$ is vertical, with its axis on an east-west line. A current of 100 A circulates clockwise in the loop when viewed from the east. The Earth's field here is due north, parallel to the ground, with a strength of $3.00 \times 10^{-5} \mathrm{T} .$ What are the direction and magnitude of the torque on the loop? (b) Does this device have anypractical applications as a motor?

Part $(\mathrm{a}) :$ The torque on the loop is 0.471 $\mathrm{N}$ . $\mathrm{m}$Part $(\mathrm{b}) :$ The torque is very small so the loop will not have any practical applications as a motor.

Physics 102 Electricity and Magnetism

Chapter 22

Magnetism

Magnetic Field and Magnetic Forces

Sources of Magnetic field

Electromagnetic Induction

Inductance

University of Michigan - Ann Arbor

Hope College

University of Winnipeg

Lectures

08:42

In physics, a magnetic fie…

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A square current $100 \mat…

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(a) What is the maximum to…

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(II) A circular coil 18.0 …

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A circular wire loop of ra…

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(II) A circular coil 16.0 …

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A current of 17.0 mA is ma…

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The rectangular loop shown…

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A $20.0 \mathrm{cm} \times…

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A power line carries a $22…

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Integrated Concepts (a) Ca…

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03:22

A 50.0-turn circular coil …

01:16

In an electric motor, a co…

07:13

02:52

An electric motor has a sq…

(II) A circular coil 12.0 …

So here the torque would be equaling and the number of turns and the loop times I the current through the loop times air a the cross sectional area of one turn times be the magnitude of the magnetic field times sign of data. We know that here a in this case is equaling pi r squared. This would be the cross sectional area of a circular loop. And so we can say that the torque would then be equal number of loops, which was 200 the current of 100 amps times the area of pie times the radius which we know to be 50 centimeters or 500.50 meters quantity squared, multiplied by the magnetic field of three 0.0 times, 10 to the negative. So here the torque would be equaling and the number of turns and the loop times I the current through the loop times air a the cross sectional area of one turn times be the magnitude of the magnetic field times sign of data. We know that here a in this case is equal in pi r squared. This would be the cross sectional area. Tesla's multiplied by sine of 90 degrees. We know this to be one. And so the torque is going to be equaling 0.471 Newton meters downwards. This would be our answer for part a four part B. Does this application Does this device have a practical application? Yes, of a circular loop. And so we can say that the torque would then be equal number of loops, which was 200 the current of 100 amps times the area of pie times the radius which we know to be 50 centimeters or 500.50 meters quantity squared, multiplied by the magnetic field of three 0.0 times 10 to the negative. This device has a practical application, has a motor essentially, if Tesla's multiplied by sine of 90 degrees, we know this to be one, and so the torque is going to be equaling 0.471 Newton meters downwards. This would be our answer for part a four part B. Does this application Does this device have a practical application? Yes, the loop is connected to a wire than as the current passes through all the loops. The magnetic field exerts of torque on these loops which in turn, rotates the shaft. So hear this device can convert electrical energy to mechanical work. Which mechanic work being that it actually rotates the shaft? That is the end of the solution. Thank you for watching.

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