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a electron with an initial speed of 500,000 m/s is brought to rest by an electric field. what was the potential difference that stopped electron? m

Sagot :

The potential difference that stopped electron is 1.422v

potential difference in between two points is the amount of work done is moving a unit charge from one point to another point.

The mass of the electron,

m = 9.109*10⁻³¹

Va (initial speed) = 500,000 m/s

Vb (final speed) = 0 m/s

Electron has been stopped because the electrons move from higher potential to lower potential.

by the work energy theorem

W = ½ mv² (1 equation)

The Potential difference is

W = eV

V = W/e

put the value of W form equation 1.

[tex]V = \frac{\frac{1}{2} (V_{b} ^{2} - V_{a} ^{2} )}{e}[/tex]

e = 9.109*10⁻³¹

V = 1/2 [(500000m/s²) - 0m/s² ] / 9.109*10⁻³¹

V  = 1.422v

The potential difference that stopped electron is 1.422v

To know more about potential difference.

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