Question

A particle of mass 1 kg and charge 1 C moves from rest through a potential of 1 V. Its final velocity will be​

Answer 1

Given:

A particle of mass 1 kg and charge 1 C moves from rest through a potential of 1 V.

To find:

Final velocity ?

Calculation:

First of all, let's find the acceleration:

$\therefore \: a = \dfrac{force}{mass}$

$\implies \: a = \dfrac{E \times q}{m}$

$\implies \: a = \dfrac{ \dfrac{V}{L} \times q}{m}$

$\implies \: a = \dfrac{ \dfrac{1}{L} \times 1}{1}$

$\implies \: a = \dfrac{1}{L}$

Now, velocity is after time :

$\therefore \: v = u + at$

$\implies v = 0 + \dfrac{1}{L} \times t$

$\implies v = \dfrac{t}{L}$

So, velocity after time t is t/L units.