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What is the kinetic energy of the electron after passing through the [tex]19.77 \, \text{kV}[/tex] potential difference?

Answer :

Final answer:

After passing through a 19.77 kilovolt potential difference, an electron will possess kinetic energy of 19.77 kilo-electron-volts. This is due to the relationship where the kinetic energy of an electron is equivalent to the voltage it passed through, given in electron-volts.

Explanation:

The question you asked is asking for the kinetic energy of an electron after passing through a 19.77 kilovolt potential difference. The energy gained by the electron is easily calculated thanks to a simple rule in physics:

When an electron is accelerated through a potential difference of 1 V, it is given an energy of 1 eV. This means that the kinetic energy of the electron is equivalent to the electric potential (voltage) it passed through, given in electron-volts (eV). Hence, an electron accelerated through a potential difference of 19.77 kV will have the kinetic energy of 19.77 keV (kilo-electron-volts).

This simple relationship between accelerating potential difference and particle's energy is a fundamental aspect in physics, particularly in Electricity and Magnetism and particle physics.

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