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How much kinetic energy will an electron gain (in joules and eV) if it accelerates...

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lkehoe | (Level 1) Valedictorian

Posted April 22, 2013 at 6:21 PM via web

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How much kinetic energy will an electron gain (in joules and eV) if it accelerates through a potential difference of 23,000 V in a TV picture tube?

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pramodpandey | College Teacher | (Level 3) Valedictorian

Posted April 23, 2013 at 6:12 AM (Answer #1)

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An electron has a charge `q=-1.6xx10^(-19)C`

Voltage is defined as the electric potential energy per charge i.e
 
`V=(PE)/q`

Therefore,
 
`PE=qV`
 
This energy is converted to KE as it accelerates.
`KE=1.6xx10^(-19)xx23000 J`
``
`=3.68xx10^(-15) J` 

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