Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

(a) What is the maximum torque on a 150 -turn square loop of wire 18.0 $\mathrm{cm}$ on a side that carries a 50.0 -A current in a 1.60 -T field? (b) What is the torque when $\theta$ is $10.9^{\circ}$ ?

Part $(\mathrm{a}) :$ The maximum torque is 360 $\mathrm{N} \cdot \mathrm{m}$Part $(\mathrm{b}) :$ When $\theta=10.9^{\circ},$ the torque equals 68.1 $\mathrm{N} \cdot \mathrm{m}$

Physics 102 Electricity and Magnetism

Chapter 22

Magnetism

Magnetic Field and Magnetic Forces

Sources of Magnetic field

Electromagnetic Induction

Inductance

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Washington

Lectures

08:42

In physics, a magnetic fie…

04:28

A magnetic field is a math…

02:35

A single-turn square wire …

03:58

A wire of length 1.0 m is …

01:49

(a) At what angle $\theta$…

00:55

Find the current through a…

03:09

01:38

A wire is formed into a ci…

05:34

05:47

The plane of a 5.0 cm $\ti…

02:44

A circular wire loop of ra…

05:21

02:28

A circular coil with 200 t…

01:32

Calculate the magnetic fie…

02:55

Integrated Concepts (a) Ca…

01:16

In an electric motor, a co…

00:20

A square current $100 \mat…

05:45

You have a wire of length …

A circular coil of wire 8.…

02:04

A rectangular coil 25 $\ma…

03:22

A 50.0-turn circular coil …

01:12

A circular coil of radius …

so the formula for part eight to find the torque would be equaling and I a b sign of fatal. So here and is the number of turns in a loop and then four part and then I would be the current in the loop A is the essential of the cross sectional area of each turn into the loop and then be would be the magnitude of the magnetic field. And so we can say that here, in this case a is simply equaling the length of the side squared. And then we're going to say that then the area is equaling 18 centimeters or weaken. Say point 18 meters quantity squared. This is equaling 180.3 to 4 square meters and so we can say that here the maximum torque will be equaling. 150 turns in the loop, multiplied by the current of 50 0.0 amps multiplied by the area point 03 to 4 square meters, multiplied by the magnetic field of 1.60 Tesla's multiplied by sine of 90 degrees, which we know to be equaling one, and so the maximum torque is gonna be equaling 389 Newton meters. This would be our answer. Four part, eh? Four Part B. We're using the exact same formula and hear the torque is. The variables are exactly the same. The only thing that's changing is the angle. And so this would be the maximum torque or you can say not maximum at this point. But the torque would be equaling. 150 turns multiplied by 50.0 amperes, multiplied by 0.3 to 4 square meters, multiplied by 1.60 Tesla's time sign of 10.9 degrees. And so here. For part B, the torque is equaling 74 Newton meters. This would be our final answer for Part B. That is the end of the solution. Thank you for watching.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In physics, a magnetic field is a vector field that describes the magnetic i…

A magnetic field is a mathematical description of the magnetic influence of …

A single-turn square wire loop $18.0 \mathrm{cm}$ on a side carries a 1.25-A…

A wire of length 1.0 m is wound into a single-turn planar loop. The loop car…

(a) At what angle $\theta$ is the torque on a current loop 90.0$\%$ of maxim…

Find the current through a loop needed to create a maximum torque of $9.0 \m…

Find the current through a loop needed to create a maximum torque of 9.00 $\…

A wire is formed into a circle having a diameter of 10.0 cm and is placed in…

A wire is formed into a circle having a diameter of 10.0 $\mathrm{cm}$ and p…

The plane of a 5.0 cm $\times$ 8.0 cm rectangular loop of wire is parallel t…

A circular wire loop of radius 15.0 $\mathrm{cm}$ carries a current of 2.60 …

A circular coil with 200 turns has a radius of 2.0 cm. (a) What current thro…

Calculate the magnetic field strength needed on a 200 -turn square loop 20.0…

Integrated Concepts (a) Calculate the maximum torque on a 50 -turn, 1.50 $\m…

In an electric motor, a coil with 100 turns of radius $2.0 \mathrm{cm}$ can …

A square current $100 \mathrm{p} 5.0 \mathrm{cm}$ on each side carries a $50…

You have a wire of length $L=1.00 \mathrm{m}$ from which to make the square …

A circular coil of wire 8.6 $\mathrm{cm}$ in diameter has 15 turns and carri…

A rectangular coil 25 $\mathrm{cm}$ by 45 $\mathrm{cm}$ has 150 turns. This …

A 50.0-turn circular coil of radius 5.00 cm can be oriented in any direction…

A circular coil of radius 5.0 cm is wound with five turns and carries a curr…

01:34

Electric fish generate current with biological cells called electroplaques, …

01:43

Unreasonable ResultsConsider the circuit in Figure 21.56, and suppose th…

01:27

What is the speed of a garbage truck that is $1.20 \times 10^{4} \mathrm{kg}…

03:37

A 500 -turn coil with a 0.250 $\mathrm{m}^{2}$ area is spun in the Earth…

00:46

22.6 The Hall EffectA large water main is 2.50 $\mathrm{m}$ in diameter …

06:37

(a) Triply charged uranium-235 and uranium-238 ions are being separated in a…

00:54

Analysis of an interference effect in a clear solid shows that the wavelengt…

02:15

Professional ApplicationTwo football players collide head-on in midair w…

00:36

Calculate the index of refraction for a medium in which the speed of light …

03:42

(a) Find the intensity in watts per meter squared of a 60.0-Hz sound having …