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Sphinxa [80]
3 years ago
13

A proton beam in an accelerator carries a current of 130 μa. if the beam is incident on a target, how many protons strike the ta

rget in a period of 17.0 s?
Physics
1 answer:
Ivanshal [37]3 years ago
4 0
The current intensity is the product between the total charge that flows through a certain point (in our case, the target) in a time interval \delta t:
I= \frac{Q}{\Delta t}
We know the current, I=130 \mu A=130 \cdot 10^{-6} A, and the time interval, \Delta t=17 s, so we can find the total charge:
Q=I \Delta t= 2.21 \cdot 10^{-3}C


The total charge Q is the product between the number of protons N and the charge of each protons, e, which is e=1.6 \cdot 10^{-19}C:
Q=Ne
we can  re-write the equation solving for N, so we can find the number of protons striking the target in 17 s:
N= \frac{Q}{e}= \frac{2.21 \cdot 10^{-3}C}{1.6 \cdot 10^{-19}C} =1.38 \cdot 10^{16}
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