An Electron in a Diode Part A Before the advent of solid-state electronics, vacu

Question

An Electron in a Diode Part A Before the advent of solid-state electronics, vacuum tubes were widely used in radios and other devices. A simple type of vacuum tube known as a diode consists essentially of two electrodes within a highly evacuated enclosure. One electrode, the cathode, is maintained at a high temperature and emits electrons from its surface. A potential difference of a few hundred volts is maintained between the cathode and the other electrode, known as the anode, with the anode at the higher potential. (Fiqure 1) Suppose a diode consists of a cylindrical cathode with a radius of 6.200x10cm, mounted coaxially within a cylindrical anode with a radius of 0.5580 cm . The potential difference between the anode and cathode is 210 V. An electron leaves the surface of the cathode with zero initial speed (Vinitial 0). Find its speed ufinal when it strikes the anode Express your answer numerically in meters per second. Hints

Explanation / Answer

Using Energy conservation

eV = 1/2*m*v^2

1.6*10^(-19) * 210 = 0.5*9.1*10^(-31) *v^2

v = 8.59*10^6 m/sec (ans)

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