Magnetism and Magnetic Fields- Determining mass of ion

In summary, magnets work by creating a magnetic field that exerts a force on certain materials. A permanent magnet retains its properties, while an electromagnet requires an electric current. The mass of an ion can be determined by its circular motion in a magnetic field. Factors such as distance, size, and material affect the strength of a magnetic field. Magnets can be used to levitate objects, but the magnetic field must be carefully controlled for stability.
  • #1
alyssadlt85
1
0

Homework Statement



An ion of mass m and charge q is accelerated from rest through a voltage of ΔV. It then enters a magnetic field. Determine the mass of the ion in terms of the measurable quantities: q, ΔV, (B^→) , and x.

Homework Equations





The Attempt at a Solution


m = q(B^2)(x^2)/(8ΔV)
this is where i am:

F=ma
F - qV x B
ma =qVB

Ui+Ki=Uf+Kf
Ui=Uf+Kf
Ui-Uf=1/2mv^2
ΔU= 1/2mv^2
ΔVq= 1/2 mv^2
 
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  • #2
what is x?
what does "B^→" mean?
 

Related to Magnetism and Magnetic Fields- Determining mass of ion

1. How do magnets work?

Magnets work by creating a magnetic field, which is a force field that exerts a push or pull on objects made of certain materials, such as iron or steel. This force is created by the alignment of electrons within the magnet, which causes a north and south pole to form.

2. What is the difference between a permanent magnet and an electromagnet?

A permanent magnet is a material that retains its magnetic properties even when not in the presence of an external magnetic field. An electromagnet, on the other hand, only exhibits magnetic properties when an electric current is passed through it. The strength of an electromagnet can be controlled by adjusting the amount of current flowing through it, while a permanent magnet has a fixed level of magnetism.

3. How do you determine the mass of an ion using magnetism?

The mass of an ion can be determined by subjecting it to a magnetic field and measuring the radius of its circular motion. This is done using the formula mv²/r=Bq, where m is the mass of the ion, v is the velocity, r is the radius, B is the magnetic field strength, and q is the charge of the ion. By rearranging the equation, the mass of the ion can be calculated: m=rv²/Bq.

4. What factors affect the strength of a magnetic field?

The strength of a magnetic field is affected by several factors, including the distance from the source of the field, the size and shape of the magnet, and the material it is made of. Additionally, the strength of an electromagnet can be influenced by the amount of current flowing through it and the number of coils in the wire.

5. Can magnets be used to levitate objects?

Yes, magnets can be used to levitate objects by creating a repelling force between the magnet and the object. This is known as magnetic levitation and is commonly used in technologies such as maglev trains. However, the strength and stability of the magnetic field must be carefully controlled in order for the object to remain levitated.

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