Answer:
-7.03645640575 Nm²/C
2.34548546858 Nm²/C
Explanation:
S = Surface area
Electric flux through the base is given by
[tex]\phi_b=-\int Eds\\\Rightarrow \phi_b=-ES\\\Rightarrow \phi_b=-260\dfrac{\sqrt{3}}{4}0.25^2\\\Rightarrow \phi_b=-7.03645640575\ Nm^2/C[/tex]
The electric flux through the base is -7.03645640575 Nm²/C
Inside the tetrahedron there is no charge so total flux will be zero
[tex]\phi_b+3\phi_s=0\\\Rightarrow \phi_s=-\dfrac{\phi_b}{3}\\\Rightarrow \phi_s=-\dfrac{-7.03645640575}{3}\\\Rightarrow \phi_s=2.34548546858\ Nm^2/C[/tex]
The electric flux through the sides is 2.34548546858 Nm²/C
