A proton is made out of three quarks. Two up quarks, each with a charge+ 2/ 3 e

Question

A proton is made out of three quarks. Two up quarks, each with a charge+ 2/ 3 e , and one down quark with a charge- 1/ 3 e . (Total charge +2/3e+2/3e-1/3e=+e). Assuming the charges are at the corners of an equilateral triangle with sides of 1x10^-15m( =1fm , also called a Fermi), calculate the total electric potential energy of these three quarks. b. The neutron is made out of two down quarks and one up quark, total charge -1/3e-1/3e+2/3e=0. Calculate the total electric potential energy of these three quarks.

Explanation / Answer

electric potential energy between two charged particle E = k*q1*q2/r

q1 = q2 = charge on the particles

r = seperation betweent eh charges

a)

E = k*q1*q2/r + k*q2*q3/r + k*q1*Q3/r

E = (9*10^9*(2/3)*1.6*10^-19*(2/3)*1.6*10^-19)/(10^-15) - (9*10^9*(2/3)*1.6*10^-19*(1/3)*1.6*10^-19)/(10^-15) - (9*10^9*(2/3)*1.6*10^-19*(1/3)*1.6*10^-19)/(10^-15)

E = 0

(b)

E = k*q1*q2/r + k*q2*q3/r + k*q1*Q3/r

E = (9*10^9*(1/3)*1.6*10^-19*(1/3)*1.6*10^-19)/(10^-15) - (9*10^9*(1/3)*1.6*10^-19*(2/3)*1.6*10^-19)/(10^-15) - (9*10^9*(1/3)*1.6*10^-19*(2/3)*1.6*10^-19)/(10^-15)

E = -7.68*10^-14 J

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