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Forces exerted by a uniform electric field on an electron having mass me and a proton of mass mp are represented as Fe and Fp, respectively are related as

 

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The force in an electric field is given by $F = qE$

where:

  • $F$ is the force exerted by the electric field
  • $q$ is the charge of the particle
  • $E$ is the magnitude of the electric field.
  1. Force on an electron: The charge of an electron is $-e$, so the force on the electron is $F_e = (-e) E$
  2. Force on proton: The charge of a proton is $+e$, so the force on the proton is $F_p = (+e) E$

The magnitudes of the forces on the electron and proton are equal because both have the same charge magnitude $e$, and the same electric field $E$:
$|F_e| = |F_p|$

Thus, the forces are equal in magnitude but opposite in direction.

Posted by

Saniya Khatri

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