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Zina [86]
3 years ago
4

A uniform charge density of 500 nC/m3 is distributed throughout a spherical volume (radius = 16 cm). Consider a cubical (4.0 cm

along the edge) surface completely inside the sphere. Determine the electric flux through this surface.
Physics
1 answer:
Westkost [7]3 years ago
4 0

Answer:

3.61581 Nm²/C

Explanation:

\epsilon_0 = Permittivity of free space = 8.85\times 10^{-12}\ F/m

\rho = Charge density = 500 nC/m³

v = Volume = 0.04^3\ m^3

From Gauss' Law we have

\phi=\dfrac{Q}{\epsilon}\\\Rightarrow \phi=\dfrac{\rho v}{\epsilon}\\\Rightarrow \phi=\dfrac{500\times 10^{-9}\times 0.04^3}{8.85\times 10^{-12}}\\\Rightarrow \phi=3.61581\ Nm^2/C

The electric flux through this surface is 3.61581 Nm²/C

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