Determine the magnetic field direction that causes the charged particles shown in FIGURE to experience the indicated magnetic force.
(a) The magnetic field mustbe in the plane of the page, clockwise from straight up.
(b) The magnetic field must be in the plane of the page, clockwise from straight up.
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.
The force on a electric charge is with in the other way because the right-hand rule indicates. Since the force is 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 must be within the plane of the paper, clockwise from straight up.
The Flux on the charge is within the plane of the page, counterclockwise from straight down.
An antiproton is identical to a proton except it has the opposite charge, -e. To study antiprotons, they must be confined in an ultrahigh vacuum because they will annihilate—producing gamma rays—if they come into contact with the protons of ordinary matter. One way of confining antiprotons is to keep them in a magnetic field. Suppose that antiprotons are created with a speed of and then trapped in a magnetic field. What minimum diameter must the vacuum chamber have to allow these antiprotons to circulate without touching the walls?
The earth’s magnetic field, with a magnetic dipole moment of , is generated by currents within the molten iron of the earth’s outer core. Suppose we model the core current as a -diameter current loop made from a 1000-km-diameter “wire.” The loop diameter is measured from the centers of this very fat wire.
a. What is the current in the current loop?
b. What is the current density in the current loop?
c. To decide whether this is a large or a small current density, compare it to the current density of a current in a -diameter wire.
To five significant figures, what are the cyclotron frequencies in a magnetic field of the ions , , and ? The atomic masses are shown in the table; the mass of the missing electron is less than u and is not relevant at this level of precision. Although and both have a nominal molecular mass of , they are easily distinguished by virtue of their slightly different cyclotron frequencies. Use the following constants:.
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