Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

A 200-turn circular loop of radius $50.0 cm$ 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 $3.00 \times 10^{‐ 5} T$ . What are the direction and magnitude of the torque on the loop? (b) Does this device have any practical applications as a motor?

(a) Torque on the loop is $0.47 N ‐ m$ .

(b) The torque is very small so the loop will not have any practical applications as a motor.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Definition of torque

Torque, also known as force moment, is the tendency of a force to spin the body to which it is applied.

Step2: To get the torque

First,

We will get the area of the circular loop then we will use the equation

$τ = NIABsin (θ)$ ………………….(1)

As the loop is vertical and the magnetic field is pointing to the north, the angle $θ = 90 °$ that leads to the value of $\sin (90 °) = 1$ .

Therefore using equation (1), we can write the maximum value of torque such that,

$τ_{\max} = NIAB$ ……………………..(2)

Step 3: Finding the direction of the torque (a)

The area of the loop can be estimated as,

$A = {πr}^{2} = π \times {(0.50 m)}^{2} = 0.79 m^{2}$

Then using equation (2), we will determine the torque such that,

$τ_{\max} = 200 \times 100 A \times 0.79 m^{2} 3.00 \times 10^{‐ 5} T = 0.47 N ‐ m$

As the current in the loop circulates clockwise and the field points to the north, the torque's direction will be clockwise as well.

Step 4: Does this device have any practical applications as a motor?(b)

The torque is very small so the loop will not have any practical applications as a motor.

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College Physics (Urone)

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Short Answer

Step by Step Solution

Step 1: Definition of torque

Step2: To get the torque

Step 3: Finding the direction of the torque (a)

Step 4: Does this device have any practical applications as a motor?(b)

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College Physics (Urone)

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Short Answer

Step by Step Solution

Step 1: Definition of torque

Step2: To get the torque

Step 3: Finding the direction of the torque (a)

Step 4: Does this device have any practical applications as a motor?(b)

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