A radiation produces a number of ionizations equal to 8202465 in the gas of a gaseous detector. If it operates at the limit of Raether, what is the collected charge (in μC)?
The Raether limit is the physical limiting value of the multiplication factor (M) which is equal to 108.
If number of ionizations is equal to N and the multiplication factor is equal to M then number of electrons collected at detector is equal to N*M.
For this case N = 8202465 and M = 108 (Raether limit),
So the number of electrons collected at detector = N*M = 8202465*108.
Charge of an electron, e = 1.602*10-19 .
So the charge collected at detector, Q = N*M*e = (8202465*108)*(1.602*10-19) C
Q = 13140348.93*10-11C = 131.4034893*10-6C
Q = 131.4034893 μC (micro coulombs)
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