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4) An electron is released from rest from the upper plate of a capacitor. The di

ID: 1875950 • Letter: 4

Question

4) An electron is released from rest from the upper plate of a capacitor. The distance between the two plates is 7 cm. How fast will the electron be moving when it reaches to second plate. The electric potential difference between the two plates is V= 10 V (k = 8.99 × 109 N • m2/C2, e = 1.60 × 10-19 C, m electron = 9.11 × 10-31 kg, Show formulas, substitution, and calculation with units. Hint: You need to write the relation between Electric potential energy ( q V)and kinetic energy. ( K= ½ mv2 ).

Explanation / Answer

According to conservation of energy,

change in electric potential energy= change in kinetic energy

q*V=0.5*m*v2

v2=2qV/m = 2*1.6*10-19*10/ (9.11*10-31)

v=1.8741*106 m/s

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