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A charged particle causes an electric flux of -996 N-m2/C to pass through a spherical Gaussian...

A charged particle causes an electric flux of -996 N-m2/C to pass through a spherical Gaussian surface of 9.50 cm radius centered on the charge. (a) If the radius of the Gaussian surface were doubled, how much flux would pass through the surface? (b) What is the charge of the particle?

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Answer #1

a) the electric flux through a Gaussian sphere centered at charge is given by

Where, is electric flux, q is magnitude of charge, is permittivity of vacuum=8.85*10^-12

Since it is independent of radius of Gaussian surface, the electric flux will remain unchanged on change of radius of Gaussian sphere

b)

q==8.85*10^-12*-996=-8.81*10^-9=-8.81 nC

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