/*! 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} Q14P A metal strip  6.50 cm long, ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A metal strip6.50cm long, 0.850 cm wide, and 0.760 mm thick moves with constant velocity through a uniform magnetic field B=1.20mT directed perpendicular to the strip, as shown in Fig.12-34. A potential difference of 3.90μvis measured between points xand yacross the strip. Calculate the speed.

Short Answer

Expert verified

The speed of the metal strip isv=3.9μV10-81μv=3.9×10-6v v=0.382 m/s .

Step by step solution

01

Given

V=3.9‰ӼV10−6 V1‰ӼV=3.9×10-6 V

d=0.850 c³¾10−2″¾1 c³¾=8.50×10-3m

B=1.20 mT10-3T1 mT=1.20×10-3T

02

Determining the concept

If the strip is moving with constant velocity, then acceleration will be zero. So electric and magnetic forces will balance each other

Formulae are as follows:

Fe=qE

Fm=qvB

E=V/d

Where Feis electric force, Fm is a magnetic force,

v is velocity, E is the electric field, B is the magnetic field, q is the charge of the particle, and d is distance.

03

Determining the speed of the metal strip 

Here, both forces are in balance.

Hence,

Fm=Fe

qvB=qE

v=EB

v=VBd

v=3.9×10−6 V1.20×10−3 T×8.50×10−3 m=0.382 m/s

Hence, the speed of the metal strip is,v=0.382m/s.

Therefore, by using the formula of electric and magnetic forces, the velocity of the metal strip can be determined.

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

A particle with charge 2.0 C moves through a uniform magnetic field. At one instant the velocity of the particle is (2.0i^+4.0j^+6.0k^)m/sand the magnetic force on the particle is (4.0i^-20j^+12k^)NThe xand ycomponents of the magnetic field are equal. What is B→?

A proton, a deuteron (q=+e, m=2.0u), and an alpha particle (q=+2e, m=4.0u) are accelerated through the same potential difference and then enter the same region of uniform magnetic field, moving perpendicular to . What is the ratio of (a) the proton’s kinetic energy Kp to the alpha particle’s kinetic energy Ka and (b) the deuteron’s kinetic energy Kd to Ka? If the radius of the proton’s circular path is 10cm, what is the radius of (c) the deuteron’s path and (d) the alpha particle’s path

Physicist S. A. Goudsmit devised a method for measuring the mass of heavy ions by timing their period of revolution in a known magnetic field. A singly charged ion of iodine makes 7revin a 45.0mTfield in 1.29ms. Calculate its mass in atomic mass units.

In Fig. 28-36, a particle moves along a circle in a region of uniform magnetic field of magnitudeB=4.00mT. The particle is either a proton or an electron (you must decide which). It experiences a magnetic force of magnitude 3.20×10-15N. What are (a) the particle’s speed, (b) the radius of the circle, and (c)the period of the motion?

A wire 1.80 m long carries a current of13.0 A and makes an angle of 35.0°with a uniform magnetic field of magnitudeB=1.50 T. Calculate the magnetic force on 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.