/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} 71 P A bar magnet whose magnetic dipo... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A bar magnet whose magnetic dipole moment is<4,0,1.5>A.m2is suspended from a thread in a region where external coils apply a magnetic field of<0.8,0,0>T. What is the vector torque that acts on the bar magnet?

Short Answer

Expert verified

The vector torque that acts on the bar magnet is<0,1.2,0>±·Â·³¾.

Step by step solution

01

Given Information

The dipole moment by μ→=4,0,1.5´¡Â·³¾2and the magnetic field is B→=0.8,0,0T.

02

Magnetic Dipole Moment

The magnetic dipole moment magnet is defined as a vector pointing in the direction of the magnetic field that the loop makes along its axis. The torque provided by each of the magnetic forces around the axle is equal to the distance from the axle times the component of the force perpendicular to the lever arm.

Torque on magnet dipole is given by:

τ→=μ→×B→

03

Calculate the vector torque

Substitute the given values of and into the above formula to get the vector of the torque.

τ→=μ→×B→=4,0,1.5×0.8,0,0=0,1.2,0±·Â·³¾

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Inordertopullasledacrossalevelfieldataconstantvelocityyouhavetoexertaconstantforce.Doesn’tthisviolateNewton’sfirstandsecondlawsofmotion,whichimplythatnoforceisrequiredtomaintainaconstantvelocity?Explainthisseemingcontradiction.

spotlight mounted beside a swimming pool sends a beam of light at an angle into the pool, as shown in Figure 23.125. The light hits the water 2.4m from the edge of the pool. The pool is 2m deep and the light is mounted 1.2m above the surface of the water. (The diagram is not drawn to scale.) The indices of refraction are: water, 1.33; air, 1.00029.

Figure 23.125

(a) What is the angle of the beam from the normal in the air?

(b) What is the angle of the beam from the normal in the water?

(c) How far from the edge of the pool is the spot of light on the bottom of the pool?

A truck driver slams on the brakes and the momentum of the truck changes from<65,000,0,0>kg.m/sto<26,000,0,0>kg.m/s
in4.1sdue to a constant force of the road on the wheels of the truck. As a vector, write the net force exerted on the truck by the surroundings.

You drop a piece of paper, and observe that it eventually falls at a constant speed. Which of the following statements about this situation is based on a fundamental physics principle? (a) Because the paper is moving downward, we know that it experiences a nonzero net downward force. (b) Since the momentum of the paper does not change from one instant to the next, P→future=P→now, and therefore the net force on the paper must be zero. (2) You give a push to a toy car, which rolls away smoothly on a wooden floor. Why does the car keep moving after your hand is no longer touching it? (a) The momentum of the car just after it leaves your hand reflects the total impulse given to the car by your hand. (b) Your hand continues to exert a force on the car even after the car and hand no longer touch.

A carbon resistor is 5 mm long and has a constant cross section of0.2mm2The conductivity of carbon at room temperature is σ=3×104perohm-m.In a circuit its potential at one end of the resistor is 12 V relative to ground, and at the other end the potential is 15 V. Calculate the resistance Rand the current I (b) A thin copper wire in this circuit is 5 mm long and has a constant cross section of 0.2mm2.The conductivity of copper at room temperature is σ=6×107ohm-1m-1.The copper wire is in series with the carbon resistor, with one end connected to the 15 V end of the carbon resistor, and the current you calculated in part (a) runs through the carbon resistor wire. Calculate the resistance Rof the copper wire and the potential Vatendat the other end of the wire.

You can see that for most purposes a thick copper wire in a circuit would have practically a uniform potential. This is because the small drift speed in a thick, high-conductivity copper wire requires only a very small electric field, and the integral of this very small field creates a very small potential difference along the wire.

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.