7. A velocity selector consists of electric and magnetic fields described by Ek

Question

7. A velocity selector consists of electric and magnetic fields described by Ek and B-Bj. If B = 0.015 T, find the value of E such that a 750 eV electron moving away from the origin along the x axis will travel with constant velocity. (0.24 MV/m A proton (p") and an ?-particle, each traveling with the same velocity, move from region I where there is no magnetic field into region II where there is a magnetic field. Region I Path 1 Region II a. What must be the characteristics of Bo Path 2 the B-field in region II if the paths of the p+ and ?-particle are to be circular? (uniform and into page) b. What is the ratio of the radius of the proton's path to the radius c. If the radius of path 2 is 10 cm and the speed of the particles is 10 m/s, what is the magnitude of the magnetic field in region 11? of the papirt ef pst t Is 10 an and the speed of the particles s (0.02 T)

Explanation / Answer

7)

The forces due to electric and magnetic field must be equal and opposite.

e E = Be v ?? E = Bv,

kinetic energy of the electron = Energy of the electron

1/2 mv^2 = 750 eV

v^2 = 2*750*[e /m]

[e/m] of electron = 1.758e11

v^2 = 2*750*1.758e11

v = 1.624e+7 m/s

E = 0.015* 1.624e+7

= 2.4e+5 V/m

= 0.24 MV/m

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