an electron of charge e coulomb passes through a potential difference of V volts. its energy in joules will be
Correct answer: B. eV
- A. V/e
- B. eV
- C. e/V
- D. V
Explanation
Work done and potential difference:The work done (W) on a charged particle by an electric field is related to the potential difference (V) across which the particle moves by the following equation:W = q * Vwhere:W is the work done (in Joules)q is the charge of the particle (in Coulombs)V is the potential difference (in Volts)Energy and work:In this case, the work done by the electric field is equal to the change in the kinetic energy of the electron. Therefore, the work done (W) also represents the final energy (E) gained by the electron:E = W = q * VSubstituting values:We are given that the charge of the electron (e) and the potential difference (V) are known. Substituting these values into the equation:E = q * V = e * VTherefore, the energy of the electron in Joules is eV (b).
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