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Tom Roberts wrote: double precision wrote: Tom Roberts wrote:
big magician wrote: does anyone knows the speed of the accelerated deviated electrons in a crt? The accelerating voltage of a typical CRT is about 15 kV, so the kinetic energy of an electron when it hits the screen is about 15 keV; it therefore has v/c ~ 0.03. would you minde being more specific on how you came up with tha 0.03 I see I made a mistake. Sorry. I use units with c=1: keV for energy, keV/c^2 for mass, and keV/c for momentum (since c=1 these distinctions are notational only). KE = 15 keV m = 511 keV/c^2 E = m + KE = 526 keV P = sqrt(E^2 - m^2) = 125 keV/c beta = v/c = P/E = 0.24 No ANGULAR momentum in there, anywhere, Tom? Duh, ```Brian. So this is more relativistic than I originally said, but not enormously so. gamma-1 is a typical measure of how large relativistic effects are, and that is 0.029 or ~3%. To obtain good crisp images across the face of a CRT (especially position being linearly related to the signal voltage) I suspect they must be taken into account in the design. As others have pointed out, bigger screens use larger voltages. Increasing to 25 kV only increases v/c to 0.30 and gamma-1 to ~5%. Tom Roberts the speed of electron. |
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