Question #280988

An electron is accelerated to a speed of 4.23 × 10^6 ms –1 from rest by a potential difference. Calculate the potential difference


1
Expert's answer
2021-12-22T14:11:51-0500

e=1.61019Ce = 1.6*10^{-19}C

v=4.23106msv = 4.23*10^6 \frac{m}{s}

m=9.11031kgm = 9.1*10^{-31}kg

Δϕ=\Delta \phi = ?


A=ΔEA=\Delta E

eΔϕ=mv22Δϕ=mv22e=9.11031(4.23)2101221.61019=51Ve\Delta \phi = \large\frac{mv^2}{2} \to \Delta \phi = \large\frac{mv^2}{2e}=\frac{9.1*10^{-31}*(4.23)^2*10^{12}}{2*1.6*10^{-19}}=51V


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