. The mass difference between two isotopes is sometimes just a neutron mass. The spectrometer should separate them very well. For such an isotope combination, the difference in radius should be around 1 cm. That is ?2−?1=1 ??. In order to achieve this, choose a magnetic field with a magnitude in Tesla (maximum magnetic field you can obtain from a conventional magnet is around 2.5 T so be far away from this value) and choose the direction also. Then determine the velocity of isotope you need. Last calculate radius r of a ??204− smallest isotope.
1. The mass difference between two isotopes is sometimes just a neutron mass. The spectrometer should separate them very well. For such an isotope combination, the difference in radius should be around 1 cm. That is ?2−?1=1 ??. In order to achieve this, choose a magnetic field with a magnitude in Tesla (maximum magnetic field you can obtain from a conventional magnet is around 2.5 T so be far away from this value) and choose the direction also. Then determine the velocity of isotope you need. Last calculate radius r of a ??204− smallest isotope.
2. In order to produce this magnetic field, determine the current and number of turns, radius and other parameters of a solenoid you need. Also show how you will position this solenoid.
3. Now in velocity selector region, determine the magnitude and the directions of magnetic, electric fields, length and the voltage (which will create electric field) that you need to select ions with this velocity only (?⃗??=?, ?⃗??=?, ???=?, ???=?).
4. What should be the power of the voltage supply that we will use in velocity selector region?
5. Again, in order to produce the magnetic field in velocity selector region, determine the current and number of turns, radius and other parameters of a solenoid you need. Also show how you will position this solenoid.
6. By using the kinetic energy formulas from the first semester and using electric field knowledge determine the direction and the magnitude of the electric field in this region (?⃗???=?, ????=?,). Make your calculations such that the ions are accelerated in 1 m that is take ????=1 ?. You may need to use some formulas from first semester again.
7. What should be the power of the voltage supply that we will use in the acceleration region?
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