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The total electric flux through a closed cylindrical (length = 1.2 m, diameter = 0.20 m) surface is equal to –5.0 N ⋅ m2/C. Determine the net charge within the cylinder.

Respuesta :

Answer:

The net charge within the cylinder is (-44.25 pC)

Explanation:

Given that,

Total electric flux, [tex]\phi=-5\ N-m^2/C[/tex]

Length of the cylinder, l = 1.2 m

Diameter of the cylinder, d = 0.2 m              

We know that the Gauss's law of electrostatics gives the relation between electric flux and the net charge. It is given by :

[tex]\phi=\dfrac{q}{\epsilon_o}[/tex]

q is net charge within the cylinder

[tex]q=\phi\times \epsilon_o\\\\q=-5\times 8.85\times 10^{-12}\\\\q=-44.25\times 10^{-12}\ C\\\\q=-44.25\ pC[/tex]

So, the net charge within the cylinder is (-44.25 pC). Hence, this is the required solution.