Before the advent of solid-state electronics, vacuum tubes were widely used in r

Question

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.

Suppose a diode consists of a cylindrical cathode with a radius of 6.200

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. Suppose a diode consists of a cylindrical cathode with a radius of 6.200?10?2cm , mounted coaxially within a cylindrical anode with a radius of 0.5580cm . The potential difference between the anode and cathode is 200V . An electron leaves the surface of the cathode with zero initial speed (vinitial=0). Find its speed vfinal when it strikes the anode. Express your answer numerically in meters per second.

Explanation / Answer

Energy gained = eV

eV = (1/2) m v2

v2 = 2eV/m

v = sqrt(2 e V/m)

= sqrt( 2 x 1.6 x 10-19 x 200 / 9.11 x 10-31)

v = 8.38 * 106 m/s

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