The magnitude of the charge is q = 13.423 µC.
If the magnitude of an electric charge for a body is very small compared to the distance between them, they are referred to as point charges. As a result, the charge is thought to be concentrated at that location.
Let the first charge be q.
So
q1 = q
q2 = 2q
q3 = 4q
q4 = 8q
q5 = 16q
Total charge Q = q1 + q2 + q3 + q4 + q5 = 31q
Flux f = 4.7 × 10^7 N · m2/C
According to gauss law
Flux f = Q/(permittivity of free space)
4.7 × 10^7 = 31q/(8.854*10^-12)
q = 1.3423*10^-5
= 13.423*10^-6 C
= 13.423 µC
The smallest possible charge q = 13.423 µC
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