Mass Spectrometers utilize electric and magnetic fields to separate particles and determine the composition of materials. a) First we need to generate a uniform magnetic field. We can do this by using a solenoid. How much current needs to be passed through a solenoid if it has a turn density of 5000 loops per meter, and we require a magnetic field of 0.5T. b) The first stage of the mass spectrometer is the volecity selector. Here a beam a particles is fired through a region with magnetic and electric fields. Determine the velocity of particles that will leave the velocity selector. The magnetic field is the 0.5T from part a) and the electric field is 3500 V/m. Hint: The fields are oriented such that the electric and magnetic forces are balanced. c) After leaving the velocity selector the particles enter a region with only a magnetic field of 0.5T. Calculate the radius of the circular orbit that the particles will undergo assuming they have a mass of 10-15 kg and a charge of -10^-10 C. Hint: You need to balance the mangetic force with the centripetal force. d) Assume that the magnetic field is oriented out of the page (+z direction) and the particle is initially moving to the right (+x direction). What is the direction of the force on the particle initially?
Mass Spectrometers utilize electric and magnetic fields to separate particles and determine the composition of materials. a) First we need to generate a uniform magnetic field. We can do this by using a solenoid. How much current needs to be passed through a solenoid if it has a turn density of 5000 loops per meter, and we require a magnetic field of 0.5T. b) The first stage of the mass spectrometer is the volecity selector. Here a beam a particles is fired through a region with magnetic and electric fields. Determine the velocity of particles that will leave the velocity selector. The magnetic field is the 0.5T from part a) and the electric field is 3500 V/m. Hint: The fields are oriented such that the electric and magnetic forces are balanced. c) After leaving the velocity selector the particles enter a region with only a magnetic field of 0.5T. Calculate the radius of the circular orbit that the particles will undergo assuming they have a mass of 10-15 kg and a charge of -10^-10 C. Hint: You need to balance the mangetic force with the centripetal force. d) Assume that the magnetic field is oriented out of the page (+z direction) and the particle is initially moving to the right (+x direction). What is the direction of the force on the particle initially?
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Mass Spectrometers utilize electric and magnetic fields to separate particles and determine the composition of materials.
a) First we need to generate a uniform magnetic field. We can do this by using a solenoid. How much current needs to be passed through a solenoid if it has a turn density of 5000 loops per meter, and we require a magnetic field
of 0.5T.
b) The first stage of the mass spectrometer is the volecity selector.
Here a beam a particles is fired through a region with magnetic and electric fields. Determine the velocity of particles that will leave the velocity selector. The magnetic field is the 0.5T from part a) and the electric field is 3500 V/m.
Hint: The fields are oriented such that the electric and magnetic forces are balanced.
c) After leaving the velocity selector the particles enter a region with only a magnetic field of 0.5T. Calculate the radius of the circular orbit that the particles will undergo assuming they have a mass of 10-15 kg and a charge of
-10^-10 C. Hint: You need to balance the mangetic force with the centripetal force .
d) Assume that the magnetic field is oriented out of the page (+z direction) and the particle is initially moving to the right (+x direction). What is the direction of the force on the particle initially?
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