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Electricity and Magnetism

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Moderate

Kinetic Energy of a Charge in an Electric Field

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A particle of mass $m_o$ and charge $q_o$ enters a region in which there is a uniform constant electric field, $E_o$. The particle accelerates in this field, gaining velocity.

If the particle enters the field region with zero velocity, what is its velocity after it travels a distance $d_o$?

A

$v_f = \sqrt{\cfrac{ m_o E_o d_o}{q_o}}$

B

$v_f = \cfrac{2 q_o E_o d_o}{m_o}$

C

$v_f = \sqrt{\cfrac{2 q_o E_o d_o}{m_o}}$

D

$v_f = \sqrt{\cfrac{m_o}{2 q_o E_o d_o}}$