The charges on two identical metal spheres (placed in a closed system) are 2.53

Question

The charges on two identical metal spheres (placed in a closed system) are 2.53 1017 C and 5.06 1017 C.

(a) How many electrons will be equivalent to the charge on each sphere?

first _________ electrons

second _______ electrons

(b) If the two spheres are brought in contact and then separated, find the charge (in C) on each sphere.

first _______ C

second_______ C

(c) Calculate the number of electrons that would be equivalent to the resulting charge on each sphere.

first______ electrons

second ______electrons

Explanation / Answer

(a) Q = n e

First: n = (2.53 x 10^-17)/(1.6 x 10^-19)

= 158 electrons .......Ans

Second: n = (5.06 x 10^-17)/(1.6 x 10^-19)

= 316 electrons

(b) total charge on system = q1 + q2 = - 7.59 x 10^-17C

now charge will get divided equally.

charge on both sphere = (q1 + q2)/2 = - 3.795 x 10^-17 C

(c) n = (3.795 x 10^-17) / (1.6 x 10^-19)

n= 237 electrons on both spheres

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