What are the magnetic field strength and direction at points a to c in FIGURE EX29.14?
The magnetic field strength is
We have given,
The magnetic field strength and direction at points a to c in the figure as shown above.
current in the wires are
We have to find the magnetic field at a ,b, c.
The magnetic field due to current carrying wire is given by
The upper wire carrying current to the right direction while the bottom wire has current to the left and both of them have same magnitude of the current .
Since point a is nearer to upper wire and far away to lower wire, then magnetic field will be more at a due to upper wire.
The magnetic field at point a,
Here positive sign indicates the magnetic field is out of the paper.
Since at point b both the wires generates same directional magnetic field then here we need to add the magnetic field due to both the wire and the distances from both wires are same then magnetic field will be same.
Since at c the magnetic field will be in opposite direction. then magnetic field will be
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?
A conducting bar of length l and mass m rests at the left end of the two frictionless rails of length d in FIGURE P29.75. A uniform magnetic field of strength B points upward.
a. In which direction, into or out of the page, will a current through the conducting bar cause the bar to experience a force
to the right?
b. Find an expression for the bar’s speed as it leaves the rails at
the right end.
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