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Chapter 29: Q. 9 (page 829)

Determine the magnetic field direction that causes the charged particles shown in FIGURE to experience the indicated magnetic force.

Short Answer

Expert verified

(a) The magnetic field mustBbe in the plane of the page, 45掳clockwise from straight up.

(b) The magnetic field must be in the plane of the page,45掳clockwise from straight up.

Step by step solution

01

Introduction 

The area around over a magnetic entity or a current-carrying body where magnetic forces as a result of the body or current will be observed.

02

Force getting a magnetic flux (part a)

Fq=qv脳B

The force on a electric charge is with in the other way because the right-hand rule indicates. Since the force Fis out of the page and therefore the velocity of the electric charge is to the left and within the plane of the paper, the magnetic field Bmust be within the plane of the paper, 45掳clockwise from straight up.

03

Field on charge (part b)

The Flux on the charge is within the plane of the page, 450counterclockwise from straight down.

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Most popular questions from this chapter

A proton in a cyclotron gains 鈭�k=2e鈭�vof kinetic energy per revolution, where 鈭�vis the potential between the dees. Although the energy gain comes in small pulses, the proton makes so many revolutions that it is reasonable to model the energy as increasing at the constant rate p=dK/dt=鈭�K/T, where Tis the period of the cyclotron motion. This is power input because it is a rate of increase of energy.

a. Find an expression for r(t), the radius of a proton's orbit in a cyclotron, in terms of m,e,B,P,andt. Assume that r=0at t=0.

Hint:Start by finding an expression for the proton's kinetic energy in terms of r.

b. A relatively small cyclotron is 2.0min diameter, uses a 0.55Tmagnetic field, and has a 400Vpotential difference between the dees. What is the power input to a proton, in W?

c. How long does it take a proton to spiral from the center out to the edge?

At what distance on the axis of a current loop is the magnetic field half the strength of the field at the center of the loop? Give your fanswer as a multiple of R.

A proton moves in the magnetic field B鈫�=0.50谋^Twith a speed of 1.0脳107m/sin the directions shown in FIGURE. For each, what is magnetic force F鈫�on the proton? Give your answers in component form.

A small bar magnet experiences a0.020Nmtorque when the axis of the magnet is at 45掳to a 0.10Tmagnetic field. What is the magnitude of its magnetic dipole moment?

The earth鈥檚 magnetic dipole moment is 8.0脳1022A.m2.

a. What is the magnetic field strength on the surface of the earth at the earth鈥檚 north magnetic pole? How does this compare to the value in Table 29.1? You can assume that the current loop is deep inside the earth.

b. Astronauts discover an earth-size planet without a magnetic field. To create a magnetic field at the north pole with the same strength as earth鈥檚, they propose running a current through a wire around the equator. What size current would be needed?
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