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Question

An electron initially at rest is accelerated through a potential difference of 1V. The energy gained by the electron is:


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Solution

Step1: Given data

  1. The potential difference is V=1volt.

Step2: The potential energy of an electron

  1. The potential energy of an electron is the work done to bring an electron through a certain potential difference.
  2. The potential energy of an electron is defined by the form, Ep=eV, where, e is the charge of an electron and V is the certain potential difference.
  3. This potential energy will increase the energy of the electron.

Step3: Calculation of energy gain

As we know, Ep=eV

So,

Ep=eV=1.602×10-19×1since,thechargeofelectronis1.602×10-19CorEp=1.602×10-19joule.

Therefore, The energy gained by the electron is 1.602×10-19joule.


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