4 identical metallic spheres with charges of +7.0 µC, +4.6 µC, 4.6 µC, and 2.0 µ

Question

4 identical metallic spheres with charges of +7.0 µC, +4.6 µC, 4.6 µC, and 2.0 µC are placed on a piece of paper. The paper is lifted on all corners so that the spheres come into contact with each other simultaneously. The paper is then flattened so that the metallic spheres become separated.

(a) What is the resulting charge on each sphere?

(b) How many excess or absent electrons (depending on the sign of your answer to part (a)) correspond to the resulting charge on each sphere?

____________ electrons are (absent or inexcess?)

Explanation / Answer

here,

charge on sphere 1 , q1 = 7 uC

charge on sphere 2 , q2 = 4.6 uC

charge on sphere 3 , q3 = - 4.6 uC

charge on sphere 4 , q4 = - 2 uC

(a)

as the potential on the four charges is same after touching

the resulting charge on each sphere , q = (q1 + q2 + q3 + q4)/4

q = (7 + 4.6 - 4.6 - 2)/4

q = 1.25 uC

the resulting charge on each sphere is 1.25 uC

(b)

no . of electrons,n = charge/charge of 1 electron

n = 1.25*10^-6 / 1.6 *10^-19

n = 7.81 *10^13 electrons

the absent electrons corresponding to the resulting charge on each sphere is 7.81 *10^13 electrons

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