IV. The nucleus of a Carbon atom has a charge of +12 elementary electric charges

Question

IV. The nucleus of a Carbon atom has a charge of +12 elementary electric charges Carbon 12 nucleus a. Calculate the charge on the nucleus in coulombs. [3] b. Calculate the electric potential (with Point A respect to an infinite distance) at point A, a distance d 0.80x10 10 m from the nucleus. [4] 0.80 x10-10m c. Point B is at an electric potential of +48 volts with respect to the nucleus. Determine the change in electric potential energy of an electron moving from A to B. [5 x 1 Coulonb 4-3 qa 0-12 Coulomb ) hargt a. V.

Explanation / Answer

part (a)

charge on the nucleus q = 12*e = 12*1.6*10^-19 = 1.92*10^-18 C

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part(b)

electric potential VA = k*q/d = 9*10^9*1.92*10^-18/(0.8*10^-10) = 216 v

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part (c)

chage in potential energy

dU = (vB - VA)*e = (48-216)*1.6*10^-19 = -2.7*10^-17 J

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