Two insulating plates are both uniformly charged in such a way that the potential difference between them is V₂ −V₁ = 20 V. (i.e. plate 2 is at a higher potential). The plates are separated by d = 0.1 m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2?

(e = 1.6 × 10⁻¹⁹ C, me = 9.11 × 10⁻³¹ kg)

32 × 10⁻¹⁹ m/s

2.65 × 10⁶ m/s

7.02 × 10¹² m/s

1.87 × 10⁶ m/s

Solution

2.65 × 10⁶ m/s

1 half mv squared space equals space eV straight v space equals space square root of fraction numerator 2 eV over denominator straight m end fraction end root space equals space 2.65 space straight x space 10 to the power of 6 space straight m divided by straight s

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