Given
The electric flux is
[tex]\phi=+305\text{ Nm}^2\text{ /C}[/tex]Radius of the sphere,
[tex]r=15.0\text{ cm}[/tex]To find
a. The flux through a gaussian sphere with radius of 29.0 cm.
b. The magnitude of the charge
Explanation
a. Since the gaussian sphere covers the same charge so the electric flux through both the sphere will be same.
Thus the required flux is
[tex]\phi=305\text{ Nm}^2\text{ /C}[/tex]b.
The magnitude of the charge is
[tex]\begin{gathered} Q=\phi\epsilon_o \\ \Rightarrow Q=305\times8.85\times10^{-12} \\ \Rightarrow Q=30.97\times10^{-12}\text{ C} \end{gathered}[/tex]Conclusion
a. The flux is
[tex]305\text{ Nm}^2\text{ /C}[/tex]b. The charge is
[tex]30.97\times10^{-12\text{ }}C[/tex]