How Do You Calculate Magnetic Fields and Forces in Physics Problems?

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SUMMARY

The discussion focuses on calculating magnetic fields and forces in physics problems, specifically addressing three scenarios involving current-carrying wires, ionized atoms, and protons in magnetic fields. For the first problem, participants are encouraged to determine the current required to match the Earth's magnetic field at a distance of 3.0 cm. The second problem involves calculating the mass and type of an ion after it loses electrons and passes through a magnetic field of 0.028 T. The third problem requires finding the speed, magnetic field strength, kinetic energy, and magnetic force acting on a proton with a given momentum as it enters a magnetic field.

PREREQUISITES
  • Understanding of magnetic fields and forces, specifically Ampère's Law.
  • Familiarity with the concepts of potential difference and kinetic energy in charged particles.
  • Knowledge of basic atomic structure and ionization processes.
  • Ability to perform calculations involving momentum and circular motion in magnetic fields.
NEXT STEPS
  • Research the formula for the magnetic field around a straight current-carrying wire.
  • Learn about the relationship between potential difference and kinetic energy for charged particles.
  • Study the principles of circular motion in magnetic fields, including the Lorentz force equation.
  • Explore the properties of ions and their behavior in electromagnetic fields.
USEFUL FOR

Students and educators in physics, particularly those focusing on electromagnetism, as well as anyone involved in experimental physics or engineering applications related to magnetic fields and charged particles.

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Homework Statement


1) What current would along straight wire have to carry in order that the magnetic field it produced was the same as the Earth's field, at a distance of 3.0 cm from the wire?

2) A heavy atom loses 3 of its electrons when bombarded by X-rays. It is then accelerated by a potential difference of 180 V, only to pass through a magnetic field of 0.028 T, where the ion is noted to be deflected into the arc of a circle of radius 0.32 m.

a) Find the mass of the ion, in kilograms, and atomic mass units.
b) state its probable type of ion. Note that you will need your periodic table for this part.
c) Why might you suspect that there is something 'fishy' with this data?


3) A proton that has been accelerated through a potential difference has a momentum of 3.4 x 10^-20 kg m/s as it enters a uniform magnetic field at right angles to the field. It is then defleted along the arc of a circle of radius 0.23 m.

a) Find its speed as it enter the field.
b) Find the strength of the magnetic field.
c) Find the kinetic energy of the proton as it enters the magnetic field.
d) What was the value of the potential difference that accelerated the proton, assuming it started from rest?
e) Fine the magnitude of the magnetic force acting on the proton while in the magnetic field.
f) Why doesn't the proton speed up or slow down whiel in the magnetic field?



Homework Equations



I don't even know how to start!
Sorry Help me.


The Attempt at a Solution

 
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yhan89 said:

Homework Statement


1) What current would along straight wire have to carry in order that the magnetic field it produced was the same as the Earth's field, at a distance of 3.0 cm from the wire?

2) A heavy atom loses 3 of its electrons when bombarded by X-rays. It is then accelerated by a potential difference of 180 V, only to pass through a magnetic field of 0.028 T, where the ion is noted to be deflected into the arc of a circle of radius 0.32 m.

a) Find the mass of the ion, in kilograms, and atomic mass units.
b) state its probable type of ion. Note that you will need your periodic table for this part.
c) Why might you suspect that there is something 'fishy' with this data?


3) A proton that has been accelerated through a potential difference has a momentum of 3.4 x 10^-20 kg m/s as it enters a uniform magnetic field at right angles to the field. It is then defleted along the arc of a circle of radius 0.23 m.

a) Find its speed as it enter the field.
b) Find the strength of the magnetic field.
c) Find the kinetic energy of the proton as it enters the magnetic field.
d) What was the value of the potential difference that accelerated the proton, assuming it started from rest?
e) Fine the magnitude of the magnetic force acting on the proton while in the magnetic field.
f) Why doesn't the proton speed up or slow down whiel in the magnetic field?



Homework Equations



I don't even know how to start!
Sorry Help me.


The Attempt at a Solution


Start at the beginning. For #1, what is the magnitude of the Earth's magnetic field at its surface? You can use wikipedia.org to find it if it's not in your book (be careful to work all in mks units). Then, what is the equation for the magnetic field B at some distance from a current carrying wire? Your book definitely has that. Then just do some math to answer #1.

Show us your work, then move on to #2.
 

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