Assuming that the radius of the circular path of the electron is 4.9cm when voltage is 100v and coil current is 1A and The Helmholtz coils have 130 turns and a radius of 15 cm. With N=130 and R=0.15   What is the velocity of the electrons at 100 V, assuming the known charge and mass of the electron from the accepted universal constants that are the basis of SI units? Hints:  Do a classical calculation of the kinetic of the electon assuming you know its mass (in kg) and its charge (in coulomb).  That will be 1/2 mv2.  Equate that to the energy of the electron gained by accelerating in the electric field, that is, eV where "e" is the charge and "V" is the difference potential in volts. Solve for "v", the velocity. Enter your answer in km/s, 103 m/s, without units.  It is best to enter only a number, without an "e".  For example, if you found 2000 m/s you would enter "2" for the velocity in km/s.  Electrons have low mass and achieve high velocity in modest fields.

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Assuming that the radius of the circular path of the electron is 4.9cm when voltage is 100v and coil current is 1A and The Helmholtz coils have 130 turns and a radius of 15 cm. With N=130 and R=0.15

 

What is the velocity of the electrons at 100 V, assuming the known charge and mass of the electron from the accepted universal constants that are the basis of SI units?

Hints:  Do a classical calculation of the kinetic of the electon assuming you know its mass (in kg) and its charge (in coulomb).  That will be 1/2 mv2.  Equate that to the energy of the electron gained by accelerating in the electric field, that is, eV where "e" is the charge and "V" is the difference potential in volts. Solve for "v", the velocity.

Enter your answer in km/s, 103 m/s, without units.  It is best to enter only a number, without an "e".  For example, if you found 2000 m/s you would enter "2" for the velocity in km/s.  Electrons have low mass and achieve high velocity in modest fields.

Expert Solution
Step 1

Given:

The voltage applied in the coil is V = 100 V

The mass of the electron is m = 9.1 x 10-31 kg

The charge of an electron is e = 1.6 x 10-19 C

 

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