an electron gun is designed to accelerate electrons to very high velocities. The

Question

an electron gun is designed to accelerate electrons to very high velocities. The electron are emitted from a heating element and are then accelerate d through very small holes in the center of two charged circular disks which are 3 cm in diameter and separated by by 10 cm. Each circular disk is charged to a charge density of 0.3 uC/m^2. Assuming that the disks form a circular parallel plate capacitor and the electron are initially at rest when they pass through the first disk. A) determine the acceleration that the electrons undergo and B) the speed of the electrons as they pass through the second disk.

Explanation / Answer

a)acceleration = ?e/(me)=0.3*10^(-6)*1.6*10^(-19)/((9.10938188 *(10^(-31))*8.85* )10^(-12))) a=0.48*10^(-25)/80.535*10^(-43)=5.96*10^15m/s^2 b)v=sqrt(2*5.96*10^15*0.1)=34525353.00m/s

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