Relationships Between Force, Field, Energy, Potential Video Lessons

Concept

# Problem: An electron with an initial speed of 5.50×105 is brought to rest by an electric field. (a) Did the electron move into a region of higher potential or lower potential? (b) What was the potential difference that stopped the electron? In V (c) What was the initial kinetic energy of the electron, in electron volts? In eV

###### FREE Expert Solution

Kinetic Energy:

$\overline{)\begin{array}{rcl}\mathbf{K}\mathbf{.}\mathbf{E}& {\mathbf{=}}& \frac{\mathbf{1}}{\mathbf{2}}{\mathbf{mv}}^{\mathbf{2}}\end{array}}$

Electric potential energy:

$\overline{){\mathbf{U}}{\mathbf{=}}{\mathbf{q}}{\mathbf{V}}}$

(a)

Electrons move in a direction opposite the electric field. The electric field points in the direction of decreasing potential.

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###### Problem Details

An electron with an initial speed of 5.50×105 is brought to rest by an electric field.

(a) Did the electron move into a region of higher potential or lower potential?
(b) What was the potential difference that stopped the electron? In V
(c) What was the initial kinetic energy of the electron, in electron volts? In eV